EXAMPLE 2 Predicting Results Shopping You buy a T-shirt that costs $9.21. You give the clerk $20.00. Estimate your change. Is this estimate high or low?

Slides:

Advertisements

Similar presentations

Chapter 3 L3-4 Notes: Estimating Sums & Differences.

Advertisements

Estimation, Graphs, and Mathematical Models.  Use estimation techniques to arrive at an approximate answer to a problem.  Apply estimation techniques.

Estimating Sums and Differences. To round, examine the digit to the right of the digit being rounded. 1.If this digit is greater than or equal to 5, add.

Estimating Sums.

Estimate Sums and Differences.

Section 2-2 Problem Solving Using Estimation Strategies Page 54 in your book.

Place Value, Estimation, Rounding, Decimals & Order of Operations.

PRESENTER: CARLA KIRKLAND Algebra I Remediation. NUMBER SENSE and OPERATIONS.

Rounding And Estimating Section 3.1

EXAMPLE 2 Add real numbers Find the sum. Rule of same signs Take absolute values. = – ( ) = – 10.2 Add. a. – (– 4.9) Rule of different signs.

Estimating Sums and Differences

EXAMPLE 1 Collecting Like Terms x + 2 = 3x x + 2 –x = 3x – x 2 = 2x 1 = x Original equation Subtract x from each side. Divide both sides by x2x.

EXAMPLE 4 Solve a multi-step problem CRAFTS You decide to use chalkboard paint to create a chalkboard on a door. You want the chalkboard to have a uniform.

EXAMPLE 3 Solve a multi-step problem Many businesses pay website hosting companies to store and maintain the computer files that make up their websites.

Total Item Price: $ Dollars. Website: Price: $60.00.

Use the sign shown. A gas station charges $.10 less per gallon of gasoline if a customer also gets a car wash. What are the possible amounts (in gallons)

8-5 Sales Tax & Discount Indicator (s)  N8 Develop and analyze algorithms for computing with percent and demonstrate fluency in use. Pages

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Lesson 3-3 Ideas/Vocabulary Round decimals.. Round Decimals Lesson 3-3 Key Concept If the digit is 4 or less, the underlined digit remains the same. If.

EXAMPLE 4 Subtract polynomials Find the difference. a. (4n 2 + 5) – (–2n 2 + 2n – 4) b. (4x 2 – 3x + 5) – (3x 2 – x – 8)

Money Adding and Subtracting. Menu Hamburger $2.30 Hot Dog$1.95 French Fries$1.05 Soft Drink$0.55 How much would it cost to have a hot dog and fries for.

Example 2 Adding Integers Find the sum – CHECK You can use a number line to check your answer –= 8 – Use sign of number with greater absolute.

.  Often times we do not want to sit and calculate the solution to a problem because it might not be worth our time.  For example, suppose I went to.

Prerequisite Skills Vocabulary Check 1. When you add two numbers, the result is called the. ? ANSWER sum 2. When you multiply two numbers, the result is.

ADDING AND SUBTRACTING DECIMALS

EXAMPLE 5 Solve a multi-step problem Write an equation that represents the store’s monthly revenue. Solve the revenue equation for the variable representing.

Computation 4 th Grade CRCT. Which answer shows 2,937 rounded to the nearest ten? A. 3,000 B. 2,940 C. 2,930 D. 2,900.

EXAMPLE 4 Solve a multi-step problem Computers You are buying a new computer and find 10 models in a store advertisement. The prices are $890, $750, $650,

Course Estimate with Decimals 4-1 Estimate with Decimals Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.

Solve a two-step inequality EXAMPLE 1 3x – 7 < 8 Write original inequality. 3x < 15 Add 7 to each side. x < 5 Divide each side by 3. ANSWER The solutions.

EXAMPLE 3 Write recursive rules for special sequences Write a recursive rule for the sequence. a. 1, 1, 2, 3, 5,...b. 1, 1, 2, 6, 24,... SOLUTION Beginning.

Estimation Clothing Groceries Travel Costs Construction.

EXAMPLE 4 Solve a multi-step problem A business rents in-line skates and bicycles. During one day, the business has a total of 25 rentals and collects.

Estimating Fractions.

Using Properties of Addition Tell whether the commutative or associative property of addition allows you to rewrite the problem as shown. EXAMPLE 4 Explain.

Jeopardy Solving Equations Add and Subtract Multiply and Divide Multi-Step Variables on each side Grouping Symbols $100 $200 $300 $400 $500 $100 $200.

Lesson 8: The Key to Rounding Money

Objective Students will be able to estimate sums and differences (3-5).

ROUNDING MONEY 19/02/14. HOW AND WHY DO WE ROUND MONEY? We use money everyday and sometimes we need to make adding and subtracting prices easier for ourselves!

EXAMPLE 4 Solve a Multi-Step Problem SOLUTION STEP 1Find the amount of the tip. Your food bill at a restaurant is $24. You leave a 20% tip. The sales tax.

EXAMPLE 1 Add two integers using a number line

Then/Now You solved single-step equations. (Lesson 2–2) Solve equations involving more than one operation. Solve equations involving consecutive integers.

. 1). Suppose I go to the movie theater and I have $20 dollars to spend. Estimate whether I can I afford all the following items. ItemsPrices Movie Ticket$10.50.

Estimating Sums and Differences Rounding Clustering Front-end-estimating.

4.4 Solving Multi-step Inequalities. 4.4 – Solving Multi-step Inequal. Goals / “I can…”  Solve multi-step inequalities with variables on one side  Solve.

Shopping at the Grocery Store !. Our Shopping List. Apples Milk Donuts Ice Cream Lunchmeat Popcorn.

OBJECTIVE I will use the order of operations and rounding to find the exact and approximate solutions of equations that contain decimals.

3-1 Estimating with Decimals Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

EXAMPLE 5 Solve a multi-step problem Write an equation that represents the store’s monthly revenue. Solve the revenue equation for the variable representing.

EXAMPLE 2 Solving Equations with Decimals Original equation a. y – = = y – y = Add to each side. Simplify.

Estimating Decimals.

Rounding And Estimating. Rounding Decimals You can round decimal numbers when you don’t need exact values. Review: ,

EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format. SOLUTION a. 2x 3 – 5x 2 + 3x.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Adding and Subtracting Decimals.  Adding Decimals  Subtracting Decimals  Estimating While Adding or Subtracting Decimals  Solving problems by Adding.

SOLUTION Textiles EXAMPLE 2 Solve a Multi-Step Problem Find the angle measures indicated in the rug design if m 1 = 122. STEP 1 It is given that m 1= 122.

 Step 1: Choose the operation  Step 2: Round the numbers to the smallest numbers highest place value  Step 3: Solve the problem using the estimated.

Objective 1 b Use matrices to solve mathematical situations and contextual problems. (DOK 2)

4-1 Estimate with Decimals Course 2 Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Chapter 3 Section 3. EXAMPLE 1 Graph a system of two inequalities Graph the system of inequalities. y > –2x – 5 Inequality 1 y < x + 3 Inequality 2.

Math Chapter 10 2-Digit Subtraction. Regroup if you need to

Activity You can use base-ten pieces to model decimal addition and subtraction. 1Model the sum of 0.76 and 0.58 using base-ten pieces. 2 Combine and group.

Using Estimation Strategies

Wonderful world of Decimals 

2-Digit Subtraction.

Estimating Sums and Differences of Fractions and Mixed Numbers

Estimating Sums and Differences

Objective - To add and subtract decimals.

68c + 58c = 40c + 10c 2c + 6c 68c $1.08 $1.18 $1.20 $ c.

Presentation transcript:

EXAMPLE 2 Predicting Results Shopping You buy a T-shirt that costs $9.21. You give the clerk $ Estimate your change. Is this estimate high or low?

EXAMPLE 2 Predicting Results $20.00 $9.21 – Shopping You buy a T-shirt that costs $9.21. You give the clerk $ Estimate your change. Is this estimate high or low?

EXAMPLE 2 Predicting Results $20 $9 Round 9.21 down to 9. $20.00 $9.21 – Shopping – You buy a T-shirt that costs $9.21. You give the clerk $ Estimate your change. Is this estimate high or low?

EXAMPLE 2 Predicting Results ANSWER Your change is about $11. This estimate is high $20 $9 Round 9.21 down to 9. $20.00 $9.21 – Shopping – because you subtracted too little by rounding $9.21 to $9. You buy a T-shirt that costs $9.21. You give the clerk $ Estimate your change. Is this estimate high or low?

EXAMPLE 3 Solve a Multi-Step Problem You have $10 to buy bread, milk, and Groceries cereal. If you have enough money, you would like to buy popcorn. The prices of these items are shown. Do you have enough money to buy popcorn?

SOLUTION EXAMPLE 3 Solve a Multi-Step Problem You have $10 to buy bread, milk, and Groceries cereal. If you have enough money, you would like to buy popcorn. The prices of these items are shown. Do you have enough money to buy popcorn? Estimate the sum of all the prices, including the price of the popcorn.

EXAMPLE 3 Solve a Multi-Step Problem STEP 1 ADD the front-end digits: the dollars.

EXAMPLE 3 Solve a Multi-Step Problem STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars.

EXAMPLE 3 Solve a Multi-Step Problem STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars.

EXAMPLE 3 Solve a Multi-Step Problem $1.79  $2.18 $3.34 $3.65 STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars.

EXAMPLE 3 Solve a Multi-Step Problem $1.79  $2.18 $3.34 $3.65 STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars. $9.00

EXAMPLE 3 Solve a Multi-Step Problem $1.79 $2.18 $3.34 $3.65 STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars. $ $2.18 $3.34 $3.65  $9.00

EXAMPLE 3 Solve a Multi-Step Problem $1 $1 $1.79 $2.18 $3.34 $3.65 STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars. $ $2.18 $3.34 $3.65 $9.00 

EXAMPLE 3 Solve a Multi-Step Problem $1.79 $2.18 $3.34 $3.65 STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars. $ $2.18 $3.34 $3.65 $1 $1 $9.00 

EXAMPLE 3 Solve a Multi-Step Problem $9 $2 + $1.79 $2.18 $3.34 $3.65 $ $2.18 $3.34 $3.65 $1 $1 STEP 3ADD your results. STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars. $9.00 

EXAMPLE 3 Solve a Multi-Step Problem $11 $9 $2 + $1.79 $2.18 $3.34 $3.65 $ $2.18 $3.34 $3.65 $1 $1 STEP 3STEP 2ESTIMATE the sum of remaining digits: the cents. STEP 1 ADD the front-end digits: the dollars. ADD your results. $9.00 

EXAMPLE 3 Solve a Multi-Step Problem Because 11 > 10 you do not have enough money to buy popcorn. ANSWER

GUIDED PRACTICE for Examples 2 and 3 Use front-end estimation to estimate the sum

ANSWER GUIDED PRACTICE 20 for Examples 2 and 3 Use front-end estimation to estimate the sum

GUIDED PRACTICE Use front-end estimation to estimate the sum for Examples 2 and 3

ANSWER GUIDED PRACTICE 18 for Examples 2 and 3 Use front-end estimation to estimate the sum

GUIDED PRACTICE Use front-end estimation to estimate the sum. How can you estimate the difference in Example 2 so that your answer is a low estimate? $20.00 $9.21 – for Examples 2 and 3

GUIDED PRACTICE Use front-end estimation to estimate the sum. How can you estimate the difference in Example 2 so that your answer is a low estimate? Round 9.21 up to 10. $20.00 $9.21 – $20.00 $10.00 – for Examples 2 and 3

GUIDED PRACTICE Use front-end estimation to estimate the sum. How can you estimate the difference in Example 2 so that your answer is a low estimate? ANSWER Your change is about 10. This estimate is low because you subtracted too much by rounding 9.21 to 10. Round 9.21 up to – – for Examples 2 and 3