Splash Screen Chapter 15 Divide by One-Digit Numbers Click the mouse or press the space bar to continue. Chapter 15 Divide by One-Digit Numbers Click the mouse or press the space bar to continue.

Chapter Menu Lesson 15-1Lesson 15-1Divide Multiples of 10, 100, and 1,000 Lesson 15-2Lesson 15-2Estimate Quotients Lesson 15-3Lesson 15-3Two-Digit Quotients Lesson 15-4Lesson 15-4Problem-Solving Strategy: Work Backwards Lesson 15-5Lesson 15-5Three-Digit Quotients Lesson 15-6Lesson 15-6Problem-Solving Investigation: Choose the Best Strategy Lesson 15-7Lesson 15-7Divide Money 15 Divide by One-Digit Numbers

Lesson 1 Menu Five-Minute Check (over Chapter 14) Main Idea California Standards Example 1: Use Models to Divide Example 2: Divide Multiples Example 3: Divide Multiples 15-1 Divide Multiples of 10, 100, and 1,000

15-1 Divide Multiples of 10, 100, and 1,000 Lesson 1 MI/Vocab I will learn to divide multiples of 10, 100, and 1,000.

15-1 Divide Multiples of 10, 100, and 1,000 Lesson 1 Standard 1 Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).

Step 1 Show 600 as 60 tens. Lesson 1 Ex1 Find 600 ÷ Divide Multiples of 10, 100, and 1,000

Lesson 1 Ex1 Step 2 Divide the 60 tens into 3 equal groups Divide Multiples of 10, 100, and 1, Answer: 600 ÷ 3 = 200

Lesson 1 CYP Divide Multiples of 10, 100, and 1,000 Find 800 ÷ 2. A.250 B.400 C.300 D.500

Lesson 1 Ex2 The stadium has 1,800 seats divided equally into 6 sections. How many seats are in each section? Find 1,800 ÷ 6. Use basic facts and patterns. Answer: So, there are 300 seats in each section Divide Multiples of 10, 100, and 1, ÷ 6 = ÷ 6 = 30 1,800 ÷ 6 = ones ÷ 6 = 3 ones 18 tens ÷ 6 = 3 tens 18 hundreds ÷ 6 = 3 hundreds

Lesson 1 CYP Divide Multiples of 10, 100, and 1,000 A class split up into 3 teams and had a bake sale which made $600. How much did each team earn if the money was split evenly between the teams? A.$200 B.$300 C.$150 D.$100

Lesson 1 Ex3 How many seats are in each section if 4,200 seats are divided equally into 7 sections? 15-1 Divide Multiples of 10, 100, and 1,000 Answer: So, there are 600 seats in each section. 42 ÷ 7 = ÷ 7 = 60 4,200 ÷ 7 = 600 Use the basic fact. Use the pattern of zeros. Find 4,200 ÷ 7.

Lesson 1 CYP Divide Multiples of 10, 100, and 1,000 Find 2,500 ÷ 5. A.350 B.400 C.500 D.600

End of Lesson 1

Lesson 2 Menu Five-Minute Check (over Lesson 15-1) Main Idea California Standards Example 1: Estimate by Rounding Example 2: Real-World Example 15-2 Estimate Quotients

15-2 Estimate Quotients Lesson 2 MI/Vocab I will estimate quotients.

15-2 Estimate Quotients Lesson 2 Standard 1 Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ). Standard 3MR2.1 Use estimation to verify the reasonableness of calculated results.

Lesson 2 Ex1 There are 238 children in the school. If there are 8 classrooms, about how many students are there in each class? 15-2 Estimate Quotients You need to estimate 238 ÷ 8 or Step 1 Round 238 to the nearest ten that has a basic fact you can use. 238 ÷ ÷ 8

Lesson 2 Ex1 Step 2 Write the basic fact you will use to divide Estimate Quotients 24 ÷ 8 = 3 Step 3 Use the basic fact and patterns to divide. 24 ÷ 8 = ÷ 8 = 30 Answer: So, 238 ÷ 8 is about 30. About 30 students are in each class.

Lesson 2 CYP Estimate Quotients A community center wants to break up its 103 members into teams of 5 for a basketball tournament. About how many teams will the tournament have? A.about 20 teams B.about 30 teams C.about 15 teams D.about 25 teams

Lesson 2 Ex Estimate Quotients A theater sold 1,113 tickets for 4 shows. About how many tickets were sold for each show? You need to estimate 1,113 ÷ 4 or 4 1,113. Step 1 Round 1,113 to the nearest hundred that has a basic fact you can use. 1,113 ÷ 4 1,200 ÷ 4

Lesson 2 Ex Estimate Quotients Step 2 Write the basic fact you will use to divide. 12 ÷ 4 = 3 Step 3 Use the basic fact and patterns to divide. 12 ÷ 4 = 3 1,200 ÷ 4 = 300 Answer: So, 1,113 ÷ 4 is about 300. About 300 tickets were sold for each show.

Lesson 2 CYP Estimate Quotients A fundraiser generated $1,212 from 6 local churches. About how much money did each church give to the fundraiser? A.about $100 B.about $200 C.about $250 D.about $300

End of Lesson 2

Lesson 3 Menu Five-Minute Check (over Lesson 15-2) Main Idea California Standards Example 1: Real-World Example Example 2: Real-World Example 15-3 Two-Digit Quotients Division

15-3 Two-Digit Quotients Lesson 3 MI/Vocab I will divide a two-digit number by a one-digit number.

15-3 Two-Digit Quotients Lesson 3 Standard 1 Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ). Standard 3NS2.3 Use the inverse relationship of multiplication and division to compute and check results.

Lesson 3 Ex1 A total of 95 students signed up for basketball. How many 5-person teams will there be? 15-3 Two-Digit Quotients Step 1 Model 95. Show 5 groups. 595 quotient dividend divisor

Lesson 3 Ex1 Step 2 Divide the tens Two-Digit Quotients ten in each group 5 tens used 1 – tens left

Lesson 3 Ex1 Step 3 Regroup and divide the ones Two-Digit Quotients 9 ones in each group – ones used 9 5 – ones left 19 Answer: So, 95 ÷ 5 = 19 or 5 95.

Lesson 3 CYP Two-Digit Quotients A total of 200 kids signed on for after-school softball. If there are 10 players to a team, how many teams will be formed? A.25 teams B.21 teams C.20 teams D.30 teams

Lesson 3 Ex2 Rami wants to read an 84-page book in 6 days. How many pages should he read per day? 15-3 Two-Digit Quotients Find 84 ÷ 6. Step 1 Decide if there are enough tens to divide > 6 There are enough tens.

Lesson 3 Ex2 Step 2 Divide the tens Two-Digit Quotients – 2 Divide 8 tens by 6 groups. Write 1 in the tens place. Multiply. 1 × 6 tens = 6 tens Subtract 6 tens from 8 tens. Compare. 2 < 6

Lesson 3 Ex2 Step 3 Divide the ones Two-Digit Quotients – 2 Divide 24 ones by 6 groups. Write 4 in the ones place. Multiply. 4 × 6 ones = 24 ones Subtract 24 ones from 24 ones Compare. 0 < Answer: So, Rami should read 14 pages each day. –

Lesson 3 Ex2 Check Multiply the quotient by the divisor Two-Digit Quotients 14 × The answer is correct. quotient divisor dividend

Lesson 3 CYP Two-Digit Quotients Shelley makes $5 a day babysitting. She wants to buy an outfit that costs $65. How many days will Shelley have to baby-sit to earn enough money to buy the outfit? A.13 days B.15 days C.17 days D.12 days

End of Lesson 3

Lesson 4 Menu Five-Minute Check (over Lesson 15-3) Main Idea California Standards Example 1: Problem-Solving Strategy 15-4 Problem-Solving Strategy: Work Backwards

15-4 Problem-Solving Strategy: Work Backwards Lesson 4 MI/Vocab I will work backward to solve problems.

15-4 Problem-Solving Strategy: Work Backwards Lesson 4 Standard 1 Standard 3MR1.2 Determine when and how to break a problem into simpler parts. Standard 3NS2.1 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).

Lesson 4 Ex1 Frannie put some money in the bank to start a savings account. Last month she put in enough money to double that amount. Today, she put in more money and the total amount doubled, again. Now she has $20. How much money did Frannie start with? 15-4 Problem-Solving Strategy: Work Backwards

Lesson 4 Ex1 Understand What facts do you know? The money doubled two times. The total amount at the end is $20. What do you need to find? The amount of money Frannie started with Problem-Solving Strategy: Work Backwards

Lesson 4 Ex1 Plan Work backward from what you know, $20, to find the amount Frannie started with Problem-Solving Strategy: Work Backwards

Lesson 4 Ex1 Solve Start with $20. Answer: So, the amount of money Frannie started with was $ Problem-Solving Strategy: Work Backwards Find the number that was doubled. Since the amount was doubled two times, find half of $10. $20 Half of $20 is $10 $10 Half of $10 is $5 $5

Lesson 4 Ex1 Check 15-4 Problem-Solving Strategy: Work Backwards Look back at the problem. When you double $5, the result is $5 × 2 or $10. When you double $10, the result is $10 × 2 or $20. So, the answer is correct.

End of Lesson 4

Lesson 5 Menu Five-Minute Check (over Lesson 15-4) Main Idea California Standards Example 1: Real-World Example Example 2: Real-World Example 15-5 Three-Digit Quotients

15-5 Three-Digit Quotients Lesson 5 MI/Vocab I will divide three-digit numbers by one-digit numbers.

15-5 Three-Digit Quotients Lesson 5 Standard 1 Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ). Standard 3NS2.3 Use the inverse relationship of multiplication and division to compute and check results.

Lesson 5 Ex1 Hugan read a 572-page book in 4 weeks. How many pages did he read each week? 15-5 Three-Digit Quotients Find 572 ÷ 4. Step 1 Divide the hundreds. 5 > 4, so there are enough hundreds Multiply. 4 × 1 = 4 4 – Subtract. 5 – 4 = 1 1 Compare. 1 < 4 Divide. 5 ÷ 4

Lesson 5 Ex Three-Digit Quotients Step 2 Regroup. Regroup the remaining 1 hundred as 10 tens. Bring down the 7 tens – 1 7

Lesson 5 Ex Three-Digit Quotients Step 3 Divide the tens. Regroup the remaining ten as 10 ones. Bring down the ones. Multiply. 4 × 4 = 16 Subtract. 17 – 16 = 1 Compare. 1 < 4 Divide. 17 ÷ – – 12

Lesson 5 Ex Three-Digit Quotients Step 4 Divide the ones. Multiply. 4 × 3 = 12 Subtract. 12 – 12 = 0 Compare. 0 < 4 Divide. 12 ÷ 4 = – – 12 – Answer: So, Hugan read 143 pages each week.

Lesson 5 CYP Three-Digit Quotients A group of 500 people will be split into 4 groups. How many people will be in each group? A.150 people B.130 people C.120 people D.125 people

Lesson 5 Ex2 Akina is putting 115 books on 5 shelves. How many books will go on each shelf? 15-5 Three-Digit Quotients Find 115 ÷ 5.

Lesson 5 Ex2 Step 1 Divide the hundreds Three-Digit Quotients 5115 There are not enough hundreds to divide. Regroup the 1 hundred as 10 tens > 5 Place the first digit in the tens place.

Lesson 5 Ex2 Step 2 Divide the tens Three-Digit Quotients 5115 Divide. 11 ÷ 5 = 2 Multiply. 5 × 2 = – 1 Subtract. 11 – 10 = 1 Compare. 1 < 5

Lesson 5 Ex2 Step 3 Divide the ones Three-Digit Quotients Bring down the ones. Divide. 15 ÷ 5 = – 1 Multiply. 5 × 3 = 15 Subtract. 15 – 15 = 0 – Compare. 0 < 5 15 Answer: So, Akina put 23 books on each shelf.

Lesson 5 Ex Three-Digit Quotients Check Multiply to check. 23 × The answer is correct. quotient divisor dividend

Lesson 5 CYP Three-Digit Quotients Tony wants to buy a mountain bike that costs $450. If he plans to buy it in 3 months, how much money will Tony have to save each month? A.$175 B.$100 C.$150 D.$130

End of Lesson 5

Lesson 6 Menu Five-Minute Check (over Lesson 15-5) Main Idea California Standards Example 1: Problem-Solving Investigation 15-6 Problem-Solving Investigation: Choose the Best Strategy

15-6 Problem-Solving Investigation: Choose the Best Strategy Lesson 6 MI/Vocab I will choose the best strategy to solve a problem.

15-6 Problem-Solving Investigation: Choose the Best Strategy Lesson 6 Standard 1 Standard 3MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

15-6 Problem-Solving Investigation: Choose the Best Strategy Lesson 6 Standard 2 Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).

Lesson 6 Ex1 MING: A community pool is in the shape of a circle. It measures 80 feet across. A square fence is going to be placed around the pool. YOUR MISSION: Find if 340 feet of fencing is enough to go around the pool Problem-Solving Investigation: Choose the Best Strategy

Lesson 6 Ex1 Understand What facts do you know? The pool is a circle. It measures 80 feet across. A square fence will be put around the pool. You have 340 feet of fencing Problem-Solving Investigation: Choose the Best Strategy

Lesson 6 Ex1 Understand What do you need to find? You need to know if 340 feet of fencing is enough Problem-Solving Investigation: Choose the Best Strategy

Lesson 6 Ex1 Plan Divide 340 by 4 to find the length of each side of the fence. Use make a drawing strategy to compare the length of the fence to the pool Problem-Solving Investigation: Choose the Best Strategy

Lesson 6 Ex1 Solve 15-6 Problem-Solving Investigation: Choose the Best Strategy – 2 –

Lesson 6 Ex1 Solve 340 feet of fence is enough to make a square that is 85 feet on each side. 80 feet is smaller than 85 feet Problem-Solving Investigation: Choose the Best Strategy Answer: So, 340 feet of fencing is enough to go around the pool.

Lesson 6 Ex1 Check Look back at the problem. Check the answer by multiplying Problem-Solving Investigation: Choose the Best Strategy So, the answer is correct. 85 × 4 = 340

End of Lesson 6

Lesson 7 Menu Five-Minute Check (over Lesson 15-6) Main Idea California Standards Example 1: Real-World Example Example 2: Quotients Less Than $1.00 Example 3: Find Unit Cost 15-7 Divide Money

15-7 Divide Money Lesson 7 MI/Vocab I will divide amounts of money.

15-7 Divide Money Lesson 7 Standard 1 Standard 3NS3.3 Solve problems involving addition, subtraction, multiplication, and division of money amounts in decimal notation and multiply and divide money amounts in decimal notation by using whole-number multipliers and divisors.

15-7 Divide Money Lesson 7 Standard 2 Standard 3NS2.7 Determine the unit cost when given the total cost and number of units.

Lesson 7 Ex1 Brian and 3 friends earned $9.68 for washing cars. How much will each boy receive after they share the money equally? 15-7 Divide Money Find $9.68 ÷ 4. Estimate $9.68 ÷ 4 $10 ÷ 4 = $2.50

Lesson 7 Ex1 Step 1 Divide the dollars Divide Money 4$ Divide. 9 ÷ 4 8– Multiply. 4 × 2 dollars 1 Subtract. 9 – 8 = 1 Compare. 1 < 4

Lesson 7 Ex1 Step 2 Divide the dimes Divide Money Divide. 16 ÷ 4 Multiply. 4 × 4 dimes 4$ – 1 Subtract. 16 – 16 = 0 Compare. 0 < – 0

Lesson 7 Ex1 Step 3 Divide the pennies Divide Money Place the decimal point and dollar sign directly above. Divide. 8 ÷ 4 = 2 Multiply. 4 × 2 pennies Subtract. 8 – 8 = 0 4$9.68 $2. 8– – 0 2 8– 0 Compare. 0 < 4 8 Answer: So, each boy will receive $2.42.

Lesson 7 Ex1 Check for Reasonableness 15-7 Divide Money $2.42 is close to the estimate of $2.50. So, the answer is reasonable. Since $2.42 × 4 = $9.68, the answer is correct.

Lesson 7 CYP Divide Money Angie and 3 friends pay $25 for tickets to see a movie. How much did each of them pay for a movie ticket? A.$6.25 B.$5.25 C.$7.25 D.$5.50

Lesson 7 Ex2 Divide $4.35 ÷ Divide Money Estimate $4.35 ÷ 5 $4.00 ÷ 5 = $0.80 Step 1 Decide if there are enough dollars to divide. 5$ < 5 There are not enough.

Lesson 7 Ex Divide Money Step 2 Divide the dollars as 40 dimes. 5$4.35$ – 3 5

Lesson 7 Ex Divide Money Step 3 Divide the pennies. 5$4.35 $ – – 35 0 Add the dollar sign and decimal point. Add a zero to show 0 dollars. Answer: So, $4.35 ÷ 5 = $0.87.

Lesson 7 Ex Divide Money Check for Reasonableness The estimate $0.80 is close to $0.87. So, the answer is correct.

Lesson 7 CYP Divide Money Find $3.80 ÷ 4. A.$0.87 B.$0.95 C.$0.75 D.$0.89

Lesson 7 Ex3 Freda paid $6.84 for 6 bags of marbles. How much did each bag cost? 15-7 Divide Money Find the unit cost. Divide $6.84 ÷ 6.

Lesson 7 Ex Divide Money 6$6.84 $1. 6– – – 0 4 Answer: So, $6.84 ÷ 6 = $1.14. Each bag costs $1.14. Check $1.14 × 6 $ So, the answer is correct.

Lesson 7 CYP Divide Money Chris paid $7.25 for 5 gallons of fruit punch. How much did Chris pay for each gallon of fruit punch? A.$1.85 B.$1.75 C.$1.55 D.$1.45

End of Lesson 7

15 Divide by One-Digit Numbers 15 Divide by One-Digit Numbers CR Menu Five-Minute Checks Math Tool Chest Image Bank Division

15 Divide by One-Digit Numbers 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.

15 Divide by One-Digit Numbers IB 1

15 Divide by One-Digit Numbers IB 2

15 Divide by One-Digit Numbers IB 3

15 Divide by One-Digit Numbers IB 4

15 Divide by One-Digit Numbers 15 Divide by One-Digit Numbers 5Min Menu Lesson 15-1Lesson 15-1(over Chapter 14) Lesson 15-2Lesson 15-2(over Lesson 15-1) Lesson 15-3Lesson 15-3(over Lesson 15-2) Lesson 15-4Lesson 15-4(over Lesson 15-3) Lesson 15-5Lesson 15-5(over Lesson 15-4) Lesson 15-6Lesson 15-6(over Lesson 15-5) Lesson 15-7Lesson 15-7(over Lesson 15-6)

15 Divide by One-Digit Numbers 5Min 1-1 (over Chapter 14) Multiply. A.$21.68 B.$4.48 C.$6.68 D.$22.68 $3.24 × 7

15 Divide by One-Digit Numbers 5Min 1-2 (over Chapter 14) Multiply. A.$76.08 B.$79.06 C.$74.56 D.$ × $9.51

15 Divide by One-Digit Numbers 5Min 1-3 (over Chapter 14) At Dora’s diner, burgers are $3.13 and drinks are $1.29. How much are 3 burgers and 1 drink? A.$10.24 B.$10.68 C.$8.60 D.$6.60

15 Divide by One-Digit Numbers 5Min 1-4 (over Chapter 14) At Dora’s diner, burgers are $3.13 and drinks are $1.29. What is the cost of 2 burgers and 2 drinks? A.$8.84 B.$6.68 C.$4.60 D.$5.60

15 Divide by One-Digit Numbers 5Min 2-1 (over Lesson 15-1) Divide. Use patterns. A.60 B.18 C.32 D ÷ 8

15 Divide by One-Digit Numbers 5Min 2-2 (over Lesson 15-1) Divide. Use patterns. A.220 B.90 C.900 D.22 4,500 ÷ 5

15 Divide by One-Digit Numbers 5Min 2-3 (over Lesson 15-1) Divide. Use patterns. A.80 B.36 C.32 D ÷ 9

15 Divide by One-Digit Numbers 5Min 2-4 There are 6 boxes and 240 crayons. How many crayons are in each box? A.40 crayons B.32 crayons C.30 crayons D.42 crayons (over Lesson 15-1)

15 Divide by One-Digit Numbers 5Min 3-1 (over Lesson 15-2) Estimate by rounding. A.270 ÷ 3 = 90 B.260 ÷ 3 = 90 C.290 ÷ 3 = 97 D.240 ÷ 3 = ÷ 3

15 Divide by One-Digit Numbers 5Min 3-2 Estimate by rounding. A.4,100 ÷ 7 = 600 B.4,200 ÷ 7 = 600 C.4,200 ÷ 7 = 700 D.4,900 ÷ 7 = 700 (over Lesson 15-2) 4,179 ÷ 7

15 Divide by One-Digit Numbers 5Min 3-3 Estimate by rounding. A.60 ÷ 6 = 12 B.61 ÷ 6 = 11 C.60 ÷ 6 = 10 D.68 ÷ 6 = 8 (over Lesson 15-2) 61 ÷ 6

15 Divide by One-Digit Numbers 5Min 3-4 Estimate by rounding. A.400 ÷ 5 = 80 B.390 ÷ 5 = 88 C.400 ÷ 5 = 40 D.350 ÷ 5 = 50 (over Lesson 15-2) 390 ÷ 5

15 Divide by One-Digit Numbers 5Min 4-1 (over Lesson 15-3) Divide 68 ÷ 4. Use models if needed. Check your answer. A.22 B.24 C.12 D.17

15 Divide by One-Digit Numbers 5Min 4-2 Divide 48 ÷ 3. Use models if needed. Check your answer. A.16 B.12 C.14 D.15 (over Lesson 15-3)

15 Divide by One-Digit Numbers 5Min 4-3 Divide 91 ÷ 7. Use models if needed. Check your answer. A.14 B.13 C.10 D.8 (over Lesson 15-3)

15 Divide by One-Digit Numbers 5Min 4-4 Jaha has 96 beads for making bracelets. She uses 6 beads for each bracelet. How many bracelets can she make? A.90 bracelets B.14 bracelets C.16 bracelets D.88 bracelets (over Lesson 15-3)

15 Divide by One-Digit Numbers 5Min 5-1 (over Lesson 15-4) Use the work backward strategy to solve. Julio is saving money for a new guitar. He doubled his money last year by babysitting his brother. Then he tripled that amount by working for his dad. Now he has $90. How much did he start with? A.$22 B.$14 C.$24 D.$15

15 Divide by One-Digit Numbers 5Min 6-1 (over Lesson 15-5) Divide 745 ÷ 5. Check your answer. A.155 B.135 C.322 D.149

15 Divide by One-Digit Numbers 5Min 6-2 Divide 288 ÷ 6. Check your answers. A.48 B.24 C.34 D.84 (over Lesson 15-5)

15 Divide by One-Digit Numbers 5Min 6-3 Divide 824 ÷ 2. Check your answers. A.411 B.128 C.244 D.412 (over Lesson 15-5)

15 Divide by One-Digit Numbers 5Min 6-4 (over Lesson 15-5) There is a total of 784 pencils. There are 7 pencils in each box. How many boxes of pencils are there? A.110 boxes B.144 boxes C.112 boxes D.122 boxes

15 Divide by One-Digit Numbers 5Min 7-1 (over Lesson 15-6) Choose any strategy to solve the problem. Tia sold 9 baskets at the flea market for $138. She sold some baskets for $12 and some for $18 each. How many of each basket did she sell? A.five $12 baskets and five $18 baskets B.four $12 baskets and five $18 baskets C.three $12 baskets and seven $18 baskets D.four $12 baskets and four $18 baskets

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