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NOTES. Multiplying Decimals. Name: ___________ Date: __________ Math ___ hr MC2 pg 65 section 2.3. MULTIPLYING DECIMALS:. 1 st MULTIPLY AS NORMAL. 2 nd Count the number of digits behind the decimal in the factors (in the problem).

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  1. NOTES Multiplying Decimals Name: ___________ Date: __________ Math ___ hr MC2 pg 65 section 2.3 MULTIPLYING DECIMALS: 1st MULTIPLY AS NORMAL 2nd Count the number of digits behind the decimal in the factors (in the problem) 3rd That is how many numbers should be behind the decimal in your answer

  2. +2 decimal places 0.41 EXAMPLE 1 Multiplying Decimals 5.82 2 decimal places 582 23280 . 2 3 8 6 2 4 decimal places

  3. 18 +0 decimal places 6450 ANSWER 6.4518=116.1 EXAMPLE 2 Multiplying Decimals a. 6.45 2 decimal places 5160 . 1 1 6 1 0 2 decimal places

  4. 0.06 + 2 decimal places ANSWER 1.2730.06=0.07638 EXAMPLE 2 Multiplying Decimals b. 1.273 3 decimal places 7638 0.07638 5decimal places

  5. 1. 1.4 7.2 = 1 0 0 8 10.08 0.2058 3.7616 ANSWER ANSWER ANSWER EXAMPLE 2 GUIDED PRACTICE for Examples 1 and 2 I am giving you the digits that are in your answer. PLACE THE DECIMAL. 2. 0.98 * 0.21 = 2 0 5 8 3. 2.351 * 1.6 = 3 7 6 1 6

  6. ANSWER The area of Central Park is about 1.25 square miles. Finding Area with Decimals EXAMPLE 3 Central Park Central Park, in New York City, is a rectangular park about 2.5 miles long and about 0.5 mile wide. What is the area of Central Park? W= 0.5 mi SOLUTION L= 2.5 mi A=l*w Write formulafor area of a rectangle. Substitute2.5 for l and 0.5 for w. =2.5 * 0.5 Solve! Multiply. =1.25

  7. 8. 7. ANSWER 18.84 in.2 ANSWER 36.12 cm2 EXAMPLE 3 GUIDED PRACTICE for Example 3 Find the area of the rectangle. A = L * W A = 9.42 * 2 A = 1 8 8 4 A = L * W A = 8.4 * 4.3 A = 3 6 1 2

  8. STEP1 Calculate the least possible cost by using $.25 as the price for all of the fruits and vegetables. C=14.40.25=$3.60 EXAMPLE 4 EXAMPLE 3 Standardized Test Practice GUIDED PRACTICE SOLUTION

  9. STEP2 Calculate the greatest possible cost by using $2.10 as the price for all of the fruits and vegetables. C=14.42.10=$30.24 ANSWER The least cost for food is $3.60 and the greatest cost is $30.24. The correct answer is C. A B C D EXAMPLE 4 EXAMPLE 3 Standardized Test Practice GUIDED PRACTICE

  10. 9. What If? In Example 4, suppose you buy 16.8 pounds of fruits and vegetables. What is the range of the amount you might spend? ANSWER $4.20 to $35.28 EXAMPLE 3 EXAMPLE 3 GUIDED PRACTICE GUIDED PRACTICE for Example 4

  11. ANSWER ANSWER ANSWER 8.476 2.108 4.0424 EXAMPLE 2 GUIDED PRACTICE for Examples 1 and 2 Evaluate the expression when m=3.26 and n=1.24. 4. 2.6 m 5. 1.7 n 6. mn

  12. Name: ___________ Date: __________ Math ___ hr MC2 pg 65 (2-7all, 9-20 evens, 25-28 all, 29-34 evens) MULTIPLYING DECIMALS: 1st MULTIPLY AS NORMAL 2nd Count the number of digits behind the decimal in the factors (numbers in the problem) 3rd That is how many numbers should be behind the decimal in your answer

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