Evaluate each expression. Round to the nearest tenth if necessary.

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Presentation transcript:

Evaluate each expression. Round to the nearest tenth if necessary. Divide. 1. 3.8 ÷ 0.2 2. 9.3 ÷ 0.6 Evaluate each expression. Round to the nearest tenth if necessary. 3. 0.461 ÷ 0.19 4. 0.415 ÷ 0.25 5. A truck traveled 93.66 miles on 4.2 gallons of gas. How many miles did the truck travel per gallon of gas? 6. In a recent year, the population of Texas was 22.5 million and the population of Nevada was 2.3 million. How many time more people lived in Texas than Nevada? Course 1, Lesson 4-1

ANSWERS 1. 19 2. 15.5 3. 2.4 4. 1.7 5. 22.3 mpg 6. 9.8 Course 1, Lesson 4-1

multiply and divide fractions? The Number System WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-1

Mathematical Practices The Number System Preparation for 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 5 Use appropriate tools strategically. Course 1, Lesson 4-1 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

To estimate by: Using compatible numbers Rounding to 0, , or 1 The Number System To estimate by: Using compatible numbers Rounding to 0, , or 1 Course 1, Lesson 4-1

Find a multiple of 4 close to 13. 12 and 4 are compatible Step-by-Step Example 1. Estimate × 13. Find a multiple of 4 close to 13. 12 and 4 are compatible numbers since 12 ÷ 4 = 3. 1 Use a model. 2 Divide the bar representing 12 into 4 sections. 3 3 3 3 Each section is of 12, or 3. 3 Label each section 3. Use compatible numbers. 4 × 13 ≈ × 12 ≈ 3 So, × 13 is about 3. 5 Need Another Example?

Need Another Example? Estimate × 28. Sample answer: × 30 = 6 Answer

Find a multiple of 5 close to 11. 10 and 5 are compatible Step-by-Step Example 2. Estimate of 11. Find a multiple of 5 close to 11. 10 and 5 are compatible numbers since 10 ÷ 5 = 2. 1 2 × 11 ≈ × 10 ≈ 2 3 If of 10 is 2, then 4 of 10 is 2 × 2, or . 4 So, × 11 is about . 4 5 Need Another Example?

Need Another Example? Estimate × 17. Sample answer: × 16 = 12 Answer

Estimate by Rounding to 0, , or 1 The Number System Estimate by Rounding to 0, , or 1 Words Examples If the numerator of a fraction between 0 and 1 is almost as large as the denominator, round up. If the numerator is much smaller than the denominator, round down. rounds to 1; rounds to 0 Course 1, Lesson 4-1

Round to 0, , or 1. is about and is about 1. Step-by-Step Example 3. Estimate × . 1 Dots are placed at and . 2 Round to 0, , or 1. is about and is about 1. 3 × × 1 4 × 1 = 5 So, × is about . 6 Need Another Example?

Need Another Example? Estimate × . Answer Sample answer: 1 × 0 = 0

Place dots on the number line at and . Step-by-Step Example 4. Estimate × . 1 2 Place dots on the number line at and . Round to 0, , or 1. is about 0 and is about 1. 3 4 × 0 × 1 = So, × is about . 5 Need Another Example?

Need Another Example? Estimate × . Answer Sample answer: 1 × =

Estimate the area of the flower bed. Step-by-Step Example 5. Estimate the area of the flower bed. Round each mixed number to the nearest whole number. 1 14 × 6 15 × 6 = 90 2 So, the area is about 90 square feet. 3 Need Another Example?

Estimate the area of a square that has a side length of 6 inches. Need Another Example? Estimate the area of a square that has a side length of 6 inches. Sample answer: 7 in. × 7 in. or 49 in2 Answer

How did what you learned today help you answer the The Number System How did what you learned today help you answer the WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-1

How did what you learned today help you answer the The Number System How did what you learned today help you answer the WHAT does it mean to multiply and divide fractions? Sample answer: To find the portion of a set Course 1, Lesson 4-1

Explain how you would estimate the product of and 22. The Number System Ratios and Proportional Relationships Explain how you would estimate the product of and 22. Course 1, Lesson 4-1