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§ 3.7

§ 3.7. Estimating and Solving Applied Problems Using Decimals. Estimating with Decimals. Example: Estimate 238,598 + 487,905. 238,598 + 487,905  200,000 + 500,000 = 700,000. Example: Estimate 68,976  0.875. 68,976  0.875  70,000  0.900 = 63,000.

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§ 3.7

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  1. § 3.7 Estimating and Solving Applied Problems Using Decimals

  2. Estimating with Decimals Example: Estimate 238,598 + 487,905. 238,598 + 487,905  200,000 + 500,000 = 700,000 Example: Estimate 68,976  0.875. 68,976  0.875 70,000  0.900 = 63,000 Example: Estimate 34.5684 ÷ 0.55. 34.5684 ÷ 0.55  30 ÷ 0.60 = 50

  3. Problem Solving Steps • Understand the problem. • Read the problem carefully. • Draw a picture if this is helpful. • Fill in the Mathematics Blueprint so that you have the facts and a method of proceeding in this situation. • Solve and state the answer. • Perform the calculations. • State the answer, including the unit of measure. • Check. • Estimate the answer. • Compare the exact answer with the estimate to see if your answer is reasonable.

  4. Mathematics Blueprint for Problem Solving Gather the Facts What Am I Asked to Do? How Do I Proceed? Key Points to Remember Mathematics Blueprint The Mathematical Blueprint is simply a sheet of paper with four columns. Each column tells you something to do.

  5. Find the number of packages Kelsey can make. There are 34.5 lbs of cookies and each package is 0.75 lb. Divide 34.5 by 0.75. Mathematics Blueprint Example: Kelsey is making holiday cookies, which she will give as gifts to her friends and co-workers. She has made 34.5 pounds of cookies, which need to be divided up into equal packages containing 0.75 pound of cookies. How may packages can Kelsey make? Mathematics Blueprint for Problem Solving Gather the Facts What Am I Asked to Do? How Do I Proceed? Key Points to Remember Move the decimal point over two places before dividing. Example continues.

  6.  300 450 450 0 Mathematics Blueprint Kelsey is making holiday cookies, which she will give as gifts to her friends and co-workers. She has made 34.5 pounds of cookies, which need to be divided up into equal packages containing 0.75 pound of cookies. How may packages can Kelsey make? 46 Kelsey can make 46 packages.

  7. Find the total cost David spent on the fruit. 2.7 lbs of apples costing $1.29/lb.; 1.8 lbs of pears costing $1.49/lb. Apples: multiply 2.7 by 1.29; Pears: multiply 1.8 by 1.49; Add the two products. Mathematics Blueprint Example: David bought apples and pears at the grocery store for a fruit salad. At the checkout counter, the apples weighed 2.7 pounds and the pears weighed 1.8 pounds. If the apples cost $1.29 per pound and the pears cost $1.49 per pound, how much did David spend on fruit? (Round your answer to the nearest cent.) Mathematics Blueprint for Problem Solving Gather the Facts What Am I Asked to Do? How Do I Proceed? Key Points to Remember Multiplication comes before addition. Example continues.

  8. Mathematics Blueprint David bought apples and pears at the grocery store for a fruit salad. At the checkout counter, the apples weighed 2.7 pounds and the pears weighed 1.8 pounds. If the apples cost $1.29 per pound and the pears cost $1.49 per pound, how much did David spend on fruit? (Round your answer to the nearest cent.) Apples: Pears: David spent $6.17 on the fruit.

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