Multiplying a Fraction and a Whole Number

Transcription

1 Multiplying a Fraction and a Whole Number R - Find. is the same as dividing by. Find of, or., so. Since is times, ( ). Find each product... 6 of.. of of 8. Reasoning Can you use division and mental math to find of? Why or why not? The chart shows the average high temperatures for different months in Phoenix, Arizona. Phoenix Weather Month Average High February F May F July F 8. What is the average temperature in July?. What is the average temperature in February?. What is the average temperature in May? Use with Lesson -.

2 Multiplying Fractions R - Find. One Way Draw a picture. Simplify if possible. 6 of the 8 squares have overlapping shading. So, Simplify to. 8 Another Way Multiply the numerators and denominators. Simplify if possible. 6 8 Simplify First Find the GCF of any numerator and any denominator. The GCF of and is. Divide and by the GCF. Write an equation for each picture... Find each product. Simplify if possible Number Sense Can you simplify before multiplying? Explain. Use with Lesson -.

3 Estimating with Fractions and Mixed Numbers R - Estimate using 8 6 rounding and compatible numbers. 8 Estimate using rounding and compatible numbers. 8 6 Round each mixed number to the nearest whole number. 8 Round each mixed number to the nearest whole number. is easier to multiply than. Use compatible numbers to divide Estimate each product or quotient Writing in Math Explain how you would estimate 6 using compatible numbers. 6 Use with Lesson -.

4 Multiplying Mixed Numbers R - How to find the product of two mixed numbers: Find. Step Estimate by rounding. Then write each mixed number as an improper fraction. Step Look for common factors and simplify. Step Multiply. Write the product as a mixed number. 6 6 is close to, so the answer is reasonable. Find each product. Simplify if possible Number Sense Is 6 greater than or less than 6? Explain. Use with Lesson -.

5 PROBLEM-SOLVING STRATEGY Make an Organized List R - Standing in Line How many different ways can Jose, Sumi, and Tina be arranged in a straight line? Read and Understand Step : What do you know? There are different people who must be arranged in a straight line: Jose, Sumi, and Tina. Step : What are you trying to find? How many different ways they can be arranged? Plan and Solve Step : What strategy will you use? Strategy: Make an organized list Jose first Jose, Sumi, Tina Jose, Tina, Sumi Sumi first Sumi, Jose, Tina Sumi, Tina, Jose Tina first Tina, Jose, Sumi Tina, Sumi, Jose Answer: The students can be arranged 6 different ways. Look Back and Check Is your answer reasonable? Yes, no combinations are repeated.. How many different four-digit combinations can be made using the digits,, 6, and? No digit combinations can be repeated. Complete the chart _ 6_ 8 Use with Lesson -.

6 Dividing Fractions R -6 Dividing by a fraction is the same as multiplying by its reciprocal. The product of a number and its reciprocal is. For example: Find Number Reciprocal Product 8 8. Step Rewrite the problem as a multiplication problem. Rewrite the divisor as its reciprocal. Step Simplify if possible. Multiply. If your answer is an improper fraction, change it to a mixed number. The reciprocal of is. 8 8 Write the reciprocal of each fraction or number..... Find each quotient. Simplify if possible Marcus is making tea for his friends. He has 6 tbsp of honey. If he puts tbsp of honey in each cup of tea, how many cups can he make? Use with Lesson -6.

7 Dividing Mixed Numbers R - You can follow these steps to find and. Step First estimate. Then write each number as an improper fraction. Find. Estimate. 6 Find. Estimate. Step Find the reciprocal of the divisor. Rewrite as a multiplication problem. 6 6 Step Look for common factors. Simplify, then multiply. 6 6 is close to, so the answer is reasonable. is close to, so the answer is reasonable. Find each quotient. Simplify if possible Writing in Math Paper needs to be cut for voting ballots. Each piece of paper is in. long. Each ballot should be in. long. How many ballots can be cut from one piece of paper?. 6 Use with Lesson -.

8 Expressions with Fractions R -8 Writing an Algebraic Expression Yesterday the temperature in Portland, Oregon, was more than half the temperature in Phoenix, Arizona. Write an algebraic expression for the temperature in Portland. Let m the temperature in Phoenix. The temperature in Portland was m. Evaluating an Algebraic Expression If the temperature in Phoenix was 8 yesterday, what was the temperature in Portland? Substitute 8 for m. Use order of operations to simplify. (8) It was in Portland. Write each word phrase as an algebraic expression.. more than f. Tom s weight. fewer than 6 the amount. Number Sense Write a word phrase that represents n. Evaluate each expression for n and n.. 8 n 6. n. n 8. n Use with Lesson -8. 6

9 Solving Equations with Fractions R - Here is how to solve addition, subtraction, multiplication, and division equations with fractions. Addition Solve n. n n n 8 Subtraction Solve x 6. x 6 x 6 x 6 x 8 Multiplication Solve y. 8 y ( ) y 8 ( ) 8 y y 8 Division Solve a. a a a 8 a ( ) ( ) Solve each equation and check your answer.. z 6. 6n. x. y 8. 8 n 6. x. Algebra The rainfall total for June is in. Yesterday it rained in. Use the equation n to calculate how much rainfall was received before yesterday. 6 Use with Lesson -.