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Splash Screen Chapter 2 Addition and Subtraction Click the mouse or press the space bar to continue. Chapter 2 Addition and Subtraction Click the mouse or press the space bar to continue.

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Chapter Menu Lesson 2-1Lesson 2-1Algebra: Addition Properties and Subtraction Rules Lesson 2-2Lesson 2-2Estimate Sums and Differences Lesson 2-3Lesson 2-3Problem-Solving Strategy: Estimate or Exact Answer Lesson 2-4Lesson 2-4Add Numbers Lesson 2-5Lesson 2-5Subtract Numbers Lesson 2-6Lesson 2-6Problem-Solving Investigation: Choose a Strategy Lesson 2-7Lesson 2-7Subtract Across Zeros 2 2 Addition and Subtraction

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Lesson 1 Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary California Standards Key Concepts: Addition Properties Key Concepts: Subtraction Rules Example 1: Use Addition Properties Example 2: Use Addition Properties to Add Example 3: Use Subtraction Rules 2-1 Algebra: Addition Properties and Subtraction Rules

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Lesson 1 MI/Vocab 2-1 Algebra: Addition Properties and Subtraction Rules I will use addition properties and subtraction rules to add and subtract. Commutative Property of Addition Associative Property of Addition Identity Property of Addition

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Lesson 1 Standard 1 2-1 Algebra: Addition Properties and Subtraction Rules Standard 4AF1.0 Students use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences.

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Lesson 1 Key Concept 1 2-1 Algebra: Addition Properties and Subtraction Rules

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Lesson 1 Key Concept 2 2-1 Algebra: Addition Properties and Subtraction Rules

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Lesson 1 Ex1 2-1 Algebra: Addition Properties and Subtraction Rules Identify the property shown by 9 + 6 = 6 + 9. The same numbers are being added on each side of the equal sign, but they are in a different order. This is the Commutative Property of Addition because the order in which numbers are added does not change the sum. Answer: Commutative Property of Addition

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Lesson 1 CYP1 2-1 Algebra: Addition Properties and Subtraction Rules A.Associative Property of Addition B.Commutative Property of Addition C.Identity Property of Addition D.Associative Property of Multiplication Identify the property shown by (2 + 3) + 4 = 2 + (3 + 4).

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Lesson 1 Ex2 Find (18 + 26) + 12. You can use the Associative Property to add mentally. 2-1 Algebra: Addition Properties and Subtraction Rules (26 + 18) + 12 26 + (18 + 12) 26 + 30 56 Commutative Property of Addition Associative Property of Addition Add 18 and 12. Add 26 and 30. Answer: 56

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Lesson 1 CYP2 2-1 Algebra: Addition Properties and Subtraction Rules A.30 B.44 C.61 D.52 Find (13 + 31) + 17.

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5 – 0 = 5 Lesson 1 Ex3 When you subtract 0 from 5, the result is 5. 2-1 Algebra: Addition Properties and Subtraction Rules Find the missing number in 5 – = 5. Answer: So, the missing number is 0.

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Lesson 1 CYP3 2-1 Algebra: Addition Properties and Subtraction Rules A.7 B.0 C.1 D.2 Find the missing number in 7 – = 7.

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End of Lesson 1

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Lesson 2 Menu Five-Minute Check (over Lesson 2-1) Main Idea and Vocabulary California Standards Example 1: Estimate Sums Example 2: Estimate Sums Example 3: Estimate Differences Example 4: Estimate Differences 2-2 Estimate Sums and Differences

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Lesson 2 MI/Vocab 2-2 Estimate Sums and Differences I will estimate sums and differences of numbers. estimate

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Lesson 2 Standard 1 2-2 Estimate Sums and Differences Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the subtraction of multidigit numbers.

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Lesson 2 Ex1 Sam wanted to buy a bicycle for $239 and a helmet for $37. About how much money will Sam need to buy the bicycle and helmet? Round to the tens place. Round each amount to the nearest tens place. Then add. Answer: So, Sam needs to save about $280. 2-2 Estimate Sums and Differences $239 + $37 $240 + $40 $280

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Lesson 2 CYP1 2-2 Estimate Sums and Differences A.$260 B.$270 C.$275 D.$280 Olivia wants to buy a desk for $217 and a chair to go with it for $56. About how much money does Olivia need to buy the desk and chair? Round to the nearest tens place.

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Lesson 2 Ex2 Estimate 6,243 + 942. Round to the hundreds place. Round to the nearest hundreds place. Then add. Answer: So, 6,243 + 942 is about 7,100. 2-2 Estimate Sums and Differences 6,243 + 942 7,100 6,200 + 900

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Lesson 2 CYP2 2-2 Estimate Sums and Differences A.7,800 B.7,700 C.7,600 D.7,500 Estimate 6,837 + 821. Round to the hundreds place.

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Lesson 2 Ex3 Estimate $57.61 – $28.45. Round to the tens place. Round each dollar amount to the nearest ten dollars then subtract. Answer: So, $57.61 – $28.45 is about $30.00. 2-2 Estimate Sums and Differences $57.61 – $28.45 $60.00 – $30.00 $30.00

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Lesson 2 CYP3 2-2 Estimate Sums and Differences A.$40.00 B.$10.00 C.$20.00 D.$30.00 Estimate $25.72 – $17.55. Round to the tens place.

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Lesson 2 Ex4 2-2 Estimate Sums and Differences The table shows the world’s tallest mountains. About how much taller is Mt. Everest than Lhoste? Round to the thousands place.

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Lesson 2 Ex4 2-2 Estimate Sums and Differences Answer: So, Mt. Everest is about 1,000 feet taller than Lhoste. 29,028 – 27,923 29,000 – 28,000 1,000 Round each height to the nearest thousand. Then subtract.

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Lesson 2 CYP4 2-2 Estimate Sums and Differences A.22,000 B.23,000 C.22,700 D.23,700 Estimate 74,218 – 51,933. Round to the thousands place.

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End of Lesson 2

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Lesson 3 Menu Five-Minute Check (over Lesson 2-2) Main Idea California Standards Example 1: Problem-Solving Strategy 2-3 Problem-Solving Strategy: Estimate or Exact Answer

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2-3 Problem-Solving Strategy: Estimate or Exact Answer Lesson 3 MI/Vocab I will determine when to estimate or find an exact answer.

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Lesson 3 Standard 1 2-3 Problem-Solving Strategy: Estimate or Exact Answer Standard 4NS1.4 Decide when a rounded solution is called for and explain why such a solution may be appropriate. Standard 4MR2.5 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

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Lesson 3 Ex1 Keith and his brother are going to build a tree house. They will need $12 for nails, $95 for tools, and $46 for wood. About how much money do they need to build the tree house? 2-3 Problem-Solving Strategy: Estimate or Exact Answer

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Lesson 3 Ex1 Understand What facts do you know? Nails cost $12. Tools cost $95. Wood costs $46. What do you need to find? Find about how much money they need to build the tree house. 2-3 Problem-Solving Strategy: Estimate or Exact Answer

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Lesson 3 Ex1 Plan Since the question asks about how much money is needed, you can estimate the sum. 2-3 Problem-Solving Strategy: Estimate or Exact Answer

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Lesson 3 Ex1 Solve Round each amount to each greatest place value. Then add. Answer: So, about $160 is needed to build the tree house. 2-3 Problem-Solving Strategy: Estimate or Exact Answer $12 $95 + $46 $10 $100 + $50 $160

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Lesson 3 Ex1 Check Look back at the problem. Suppose the question asked for an exact answer. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Since $153 is close to $160, an estimate of $160 is correct. $12 $95 + $46 $153

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End of Lesson 3

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Lesson 4 Menu Five-Minute Check (over Lesson 2-3) Main Idea California Standards Example 1: Add Whole Numbers Example 2: Add Multi-Digit Numbers 2-4 Add Numbers

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Lesson 4 MI/Vocab 2-4 Add Numbers I will add numbers, including multidigit numbers.

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Lesson 4 Standard 1 2-4 Add Numbers Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.

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Lesson 4 Ex1 Add 4,568 + 2,429. 2-4 Add Numbers Estimate4,568 + 2,429 4,600 + 2,400 7,000

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7 Lesson 4 Ex1 Step 1 Add ones. 2-4 Add Numbers Step 2 Add tens. 4,568 + 2,429 1 7 4,568 + 2,429 1 9

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Lesson 4 Ex1 Step 3 Add hundreds. 2-4 Add Numbers 97 4,568 + 2,429 1 9

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Lesson 4 Ex1 Step 4 Add thousands. 2-4 Add Numbers Check for Reasonableness The estimate was 7,000. Since 6,997 is close to the estimate, the answer is reasonable. 997 4,568 + 2,429 1 6,6, Answer: So, 4,568 + 2,429 = 6,997.

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Lesson 4 CYP1 2-4 Add Numbers A.9,041 B.8,931 C.9,000 D.9,040 Add 3,792 + 5,249.

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Lesson 4 Ex2 The three largest farms in Springfield are listed in the table. What is the total size of the three farms? 2-4 Add Numbers Estimate 12,250 8,732 + 997 12,300 8,700 + 1,000 22,000

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9 Lesson 4 Ex2 Step 1 Add ones. 2-4 Add Numbers Step 2 Add tens. 12,250 8,732 + 997 9 12,250 8,732 + 997 7 1

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Lesson 4 Ex2 Step 3 Add hundreds. 2-4 Add Numbers Step 4 Add thousands. 79 12,250 8,732 + 997 1 9 1 979 12,250 8,732 + 997 11 1,1, 1

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Lesson 4 Ex2 Step 5 Add ten thousands. 2-4 Add Numbers 2 1,979 12,250 8,732 + 997 11 1 Answer: The total size of the three farms is 21,979 acres. Check for Reasonableness The estimate was 22,000. Since 21,979 is close to the estimate, the answer is reasonable.

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Lesson 4 CYP2 2-4 Add Numbers Add 33,473 + 4,522 + 722. A.38,771 B.37,117 C.38,717 D.37,617

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End of Lesson 4

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Lesson 5 Menu Five-Minute Check (over Lesson 2-4) Main Idea California Standards Example 1: Subtract Whole Numbers Example 2: Subtract Money 2-5 Subtract Numbers

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Lesson 5 MI/Vocab 2-5 Subtract Numbers I will subtract multidigit numbers.

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Lesson 5 Standard 1 2-5 Subtract Numbers Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.

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Lesson 5 Ex1 The Hernandez family flies 9,635 miles to visit some cousins. Next year, they fly 3,867 miles to visit their grandmother. How much farther did they travel to see their cousins? 2-5 Subtract Numbers Estimate 9,635 – 3,867 9,600 – 3,900 5,700

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8 9,635 – 3,867 15 2 8 Lesson 5 Ex1 Step 1 Subtract ones. 2-5 Subtract Numbers Step 2 Subtract tens. 9,635 – 3,867 15 2 6 12 5

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68 9,635 – 3,867 15 2 12 5 Lesson 5 Ex1 Step 3 Subtract hundreds. 2-5 Subtract Numbers Step 4 Subtract thousands. 7 15 8 5,5, 768 9,635 – 3,867 15 2 12 5 15 8

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Lesson 5 Ex1 Check 2-5 Subtract Numbers You can use addition to check your subtraction. The answer is correct and close to the estimate. 5,768 9,635 – 3,867 9,635 3,867 + 5,768 Answer: So, the Hernandez family traveled 5,768 miles further to see their cousins.

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Lesson 5 CYP1 2-5 Subtract Numbers A.6,487 B.5,378 C.6,789 D.5,738 Subtract 8,249 – 2,871.

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$28 $96 – $68 Lesson 5 Ex2 Elija had $96.47 in his checking account. He wrote a check for $67.99 to buy a skateboard. How much money did he have left? 2-5 Subtract Numbers Estimate$96.47 – $67.99 Subtracting money is similar to subtracting whole numbers.

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8 Lesson 5 Ex2 Step 1 Subtract pennies. 2-5 Subtract Numbers Step 2 Subtract dimes. $96.47 – $67.99 173 8 $96.47 – $67.99 173 4 13 5

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Lesson 5 Ex2 Step 3 Subtract dollars. 2-5 Subtract Numbers Step 4 Subtract ten dollars. 8.8. 13 48 $96.47 – $67.99 1735 15 8 $2$2 13 8.48 $96.47 – $67.99 1735 15 8 Answer: Elija had $28.48 left.

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Lesson 5 Ex2 Check 2-5 Subtract Numbers $28.48 $96.47 – $67.99 $96.47 $67.99 + $28.48 The answer is correct and close to the estimate.

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Lesson 5 CYP2 2-5 Subtract Numbers A.$10.51 B.$9.50 C.$8.51 D.$8.49 Selena had $45.50 when she went to the store. She bought shoes for $36.99. How much does she have left?

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End of Lesson 5

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Lesson 6 Menu Five-Minute Check (over Lesson 2-5) Main Idea California Standards Example 1: Problem-Solving Investigation 2-6 Problem-Solving Investigation: Choose a Strategy

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Lesson 6 MI/Vocab 2-6 Problem-Solving Investigation: Choose a Strategy I will choose the best strategy to solve a problem.

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Lesson 6 Standard 1 2-6 Problem-Solving Investigation: Choose a Strategy Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

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Lesson 6 Standard 2 2-6 Problem-Solving Investigation: Choose a Strategy Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.

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Lesson 6 Ex1 MARCO: I am downloading music. So far, I have downloaded 4 albums. Each album has 14 songs. YOUR MISSION: Find how many songs Marco has downloaded. 2-6 Problem-Solving Investigation: Choose a Strategy

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Lesson 6 Ex1 Understand What facts do you know? Marco has downloaded 4 albums. Each album has 14 songs. What do you need to find? Find how many songs Marco has downloaded. 2-6 Problem-Solving Investigation: Choose a Strategy

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Lesson 6 Ex1 Plan 2-6 Problem-Solving Investigation: Choose a Strategy You can organize the information in a table and use repeated addition to find how many songs Marco has downloaded.

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Lesson 6 Ex1 Solve Start with 14, the number of songs on the first album. Then continue to add 14 for each additional album. 2-6 Problem-Solving Investigation: Choose a Strategy 14 + 14 28

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Solve Lesson 6 Ex1 2-6 Problem-Solving Investigation: Choose a Strategy Answer: So, he downloaded a total of 56 songs. 28 + 14 42 1 + 14 56

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Lesson 6 Ex1 Check 2-6 Problem-Solving Investigation: Choose a Strategy Look back at the problem. 56 – 14 = 42, 42 – 14 = 28, 28 – 14 = 14, and 14 – 14 = 0. The answer is correct.

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End of Lesson 6

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Lesson 7 Menu Five-Minute Check (over Lesson 2-6) Main Idea California Standards Example 1: Subtract Across Zeros Example 2: Subtract Across Zeros 2-7 Subtract Across Zeros

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Lesson 7 MI/Vocab 2-7 Subtract Across Zeros I will subtract multidigit numbers, when some digits are zero.

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Lesson 7 Standard 2-7 Subtract Across Zeros Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.

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Lesson 7 Ex1 Refer to the table. How much larger is Jupiter than Earth? 2-7 Subtract Across Zeros Step 1 Subtract ones. 4 142,200 – 12,756 10 1 9

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Lesson 7 Ex1 Step 2 Subtract tens. Step 3 Subtract hundreds. 2-7 Subtract Across Zeros 4 142,200 – 12,756 10 1 9 4 44 142,200 – 12,756 10 1 9 4 1 11

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444 142,200 – 12,756 10 1 9 1 11 Lesson 7 Ex1 Step 4 Subtract thousands. 2-7 Subtract Across Zeros 9,9, 11 Step 5 Subtract ten thousands. 3 2 9,444 142,200 – 12,756 10 1 9 1 11 3

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29,444 142,200 – 12,756 10 1 9 1 11 3 Lesson 7 Ex1 Step 6 Subtract hundred thousands. 2-7 Subtract Across Zeros Check You can use addition to check your subtraction. 12,756 + 129,444 = 142,200. So, the answer is correct. 1 Answer: So, Jupiter is 129,444 km larger than Earth.

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Lesson 7 CYP1 2-7 Subtract Across Zeros A.68,599 B.68,459 C.67,461 D.67,459 Subtract 132,788 – 64,329.

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Lesson 7 Ex2 Marciel gave the store clerk $50.00 for her purchase. She received $13.56 in change. How much did she spend? 2-7 Subtract Across Zeros Step 1 Subtract pennies. 4 $50.00 – $13.56 410 99

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4 $50.00 – $13.56 410 99 Lesson 7 Ex2 Step 2 Subtract dimes. Step 3 Subtract ones. 2-7 Subtract Across Zeros 4 44 $50.00 – $13.56 410 99 6.6.

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Lesson 7 Ex2 Step 4 Subtract tens. 2-7 Subtract Across Zeros Answer: So, Marciel spent $36.44. 6.44 $50.00 – $13.56 410 99 $3$3

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Lesson 7 CYP2 2-7 Subtract Across Zeros A.$21.26 B.$22.76 C.$22.27 D.$21.76 Seki bought some headphones at the mall. If he took $35.00 with him and has $13.74 left, how much did the headphones cost?

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End of Lesson 7

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2 2 Addition and Subtraction 2 2 CR Menu Five-Minute Checks Math Tool Chest Image Bank Subtract Numbers

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2 2 Addition and Subtraction IB Instructions To use the images that are on the following four slides in your own presentation: 1.Exit this presentation. 2.Open a chapter presentation using a full installation of Microsoft ® PowerPoint ® in editing mode and scroll to the Image Bank slides. 3.Select an image, copy it, and paste it into your presentation.

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2 2 Addition and Subtraction IB 1

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2 2 Addition and Subtraction IB 2

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2 2 Addition and Subtraction IB 3

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2 2 Addition and Subtraction IB 4

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2 2 Addition and Subtraction 2 2 5Min Menu Lesson 2-1Lesson 2-1(over Chapter 1) Lesson 2-2Lesson 2-2(over Lesson 2-1) Lesson 2-3Lesson 2-3(over Lesson 2-2) Lesson 2-4Lesson 2-4(over Lesson 2-3) Lesson 2-5Lesson 2-5(over Lesson 2-4) Lesson 2-6Lesson 2-6(over Lesson 2-5) Lesson 2-7Lesson 2-7(over Lesson 2-6)

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2 2 Addition and Subtraction 5Min 1-1 (over Chapter 1) A. Roberto’s family travels 200 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 200 miles. Use any strategy to solve. Tell which strategy you used. Lee Ann’s family travels 60 miles in one hour. Roberto’s family travels 40 miles in one hour. How many hours would it take for Lee Ann’s family to travel as far as Roberto’s family travels in 6 hours? B. Roberto’s family travels 2,400 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 2,400 miles.

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2 2 Addition and Subtraction C. Roberto’s family travels 240 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 240 miles. 5Min 1-1 (over Chapter 1) D. Roberto’s family travels 280 miles in 6 hours; it will take Lee Ann’s family 5 hours to travel 280 miles.

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2 2 Addition and Subtraction C. Roberto’s family travels 240 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 240 miles. 5Min 1-1 (over Chapter 1) Answer:

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2 2 Addition and Subtraction 5Min 2-1 (over Lesson 2-1) A.0; Associative Property B.0; Identity Property C.7; Identity Property D.1; Commutative Property Copy and complete the number sentence. Write the property or rule shown. 7 + __ = 7

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2 2 Addition and Subtraction A.9; Associative Property B.2; Commutative Property C.2; Associative Property D.7; Associative Property 5Min 2-2 (over Lesson 2-1) Copy and complete the number sentence. Write the property or rule shown. (9 + 2) + 7 = 9 + (__ + 7)

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2 2 Addition and Subtraction 5Min 2-3 (over Lesson 2-1) A.4; Subtraction Rule B.0; Identity Property C.0; Subtraction Rule D.4; Identity Property Copy and complete the number sentence. Write the property or rule shown. 4 – __ = 0

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2 2 Addition and Subtraction 5Min 2-4 (over Lesson 2-1) A.385; Associative Property B.385; Identity Property C.22; Commutative Property D.385; Commutative Property Copy and complete the number sentence. Write the property or rule shown. 385 + 22 = 22 + __

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2 2 Addition and Subtraction A.$9.00 B.$11.00 C.$10.00 D.$9.50 5Min 3-1 (over Lesson 2-2) Estimate $4.69 + $5.19.

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2 2 Addition and Subtraction A.$3.00 B.$38.00 C.$5.00 D.$4.00 5Min 3-2 (over Lesson 2-2) Estimate $20.59 – $17.19.

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2 2 Addition and Subtraction A.2,000 B.1,100 C.1,400 D.3,000 5Min 3-3 (over Lesson 2-2) Estimate 2,466 – 1,377.

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2 2 Addition and Subtraction A.34,000 B.5,000 C.35,000 D.33,000 5Min 3-4 (over Lesson 2-2) Estimate 19,556 + 14,789.

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2 2 Addition and Subtraction A.1,400 B.1,350 C.1,300 D.1,200 5Min 3-5 (over Lesson 2-2) Estimate 555 + 798.

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2 2 Addition and Subtraction A. $1.00; estimate because the question asks about an estimated amount of change 5Min 4-1 (over Lesson 2-3) Solve. Explain why you gave an estimate or an exact answer. A turkey sandwich costs $3.75 and a bottle of juice costs $1.45. If Tobin buys two sandwiches and a bottle of juice, how much change will he receive from $10.00? B. $1.05; exact answer because the question asks about an exact amount of change

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2 2 Addition and Subtraction 5Min 4-1 (over Lesson 2-3) C. $0; estimate because you always estimate when using money D. $2.05; exact answer because the question asks about an exact amount of change

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2 2 Addition and Subtraction 5Min 4-1 (over Lesson 2-3) Answer: B. $1.05; exact answer because the question asks about an exact amount of change

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2 2 Addition and Subtraction A.578 B.607 C.597 D.600 5Min 5-1 (over Lesson 2-4) Find 568 + 29. Check you work by estimating.

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2 2 Addition and Subtraction A.823 B.734 C.712 D.723 5Min 5-2 (over Lesson 2-4) Find 478 + 245. Check you work by estimating.

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2 2 Addition and Subtraction 5Min 5-3 (over Lesson 2-4) A.8,804 B.8,914 C.8,924 D.9,004 Find 8,238 + 676. Check you work by estimating.

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2 2 Addition and Subtraction 5Min 5-4 (over Lesson 2-4) A.8,247 B.8,337 C.8,547 D.8,257 Find 4,765 + 3,482. Check you work by estimating.

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2 2 Addition and Subtraction 5Min 5-5 (over Lesson 2-4) A.56,551 B.57,561 C.56,651 D.57,551 Find 54,763 + 2,788. Check you work by estimating.

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2 2 Addition and Subtraction A.$6.27 B.$5.17 C.$15.17 D.$5.16 5Min 6-1 (over Lesson 2-5) Solve. Nori bought a game for $14.95 and a CD for $9.88. He gave the cashier $30.00. How much change did he receive?

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2 2 Addition and Subtraction A.4,423 B.6,423 C.4,577 D.3,577 5Min 6-2 (over Lesson 2-5) Solve. Nadia guessed that there were 9,546 beans in a jar. Steve guessed that there were 5,969 beans. How much larger was Nadia’s guess than Steve’s?

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2 2 Addition and Subtraction 5Min 7-1 (over Lesson 2-6) A.21, 23, 28 B.18, 23, 25 C.18, 20, 22 D.21, 26, 31 Use any of the following strategies to solve: draw a picture, look for a pattern, make a table. Tiana writes the following numbers in a row: 2, 7, 9, 14, 16. What would be the next three numbers in her pattern?

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