you can use graph paper to model decimal multiplication. here is a model of the product of 0.7 and...

7

You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded, 0.7 0.3 Multiplying Decimals 2 3 . = 0.21.

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Page 1: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3.

1

1

0.3

0.7

Because 21 of the 100 squares are shaded, 0.7 0.3

Multiplying Decimals2 3.

= 0.21.

Page 2: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

NOTE BOOK

You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3.

1

1

0.3

0.7

Because 21 of the 100 squares are shaded, 0.7 0.3

Words

Numbers

Multiplying Decimals2 3.

= 0.21.

Multiply decimals as you would whole numbers. Then place the decimal point in the product. The number of decimal places in the product is equal to the sum of the number of decimal places in the factors.

0.7 0.3 = 0.21

Multiplying Decimals

Page 3: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

EXAMPLE 1 Multiplying Decimals

Multiplying Decimals2 3.

5.82

0.41

2 decimal places

2 decimal places

5 8 22 3 2 8

4 decimal places

–––+––––––

2.3 8 6 2–––––––

1234

Page 4: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

Checking Reasonableness To check that the product in Example 1 is reasonable, round each factor to the place value of the leading digit, then multiply. The leading digit of a number is the first nonzero digit.

Multiplying Decimals2 3.

5.82 6

0.41 0.4

Round to the nearest whole number.

Round to the nearest tenth.

Because 6 0.4 = 2.4, the product of the previous example is reasonable.

Page 5: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

6.45

18

2 decimal places

0 decimal places

5160645

––––––116.10

Because 6 20 = 120, the product is reasonable.

EXAMPLE 2 Multiplying Decimals

–––+––––––

After you place the decimal point, you can drop any zeros at the end of an answer.

2 decimal places

CHECK

Multiplying Decimals2 3.

ANSWER 6.45 18 = 116.1

Page 6: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

Write a zero before the 7 as a placeholder so that the number has 5 decimal places.

6.45

18

2 decimal places

0 decimal places

5160645

––––––116.10

Because 6 20 = 120, the product is reasonable.

1.273

0.06

3 decimal places

2 decimal places

76380.0 5 decimal places

Because 1 0.06 = 0.06, the product is reasonable.

EXAMPLE 2 Multiplying Decimals

–––+–––––– ––––––– –––+

After you place the decimal point, you can drop any zeros at the end of an answer.

2 decimal places

CHECK CHECK

Multiplying Decimals2 3.

ANSWER 6.45 18 = 116.1 ANSWER 1.273 0.06 = 0.07638

Page 7: You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded,

Central Park Central Park is a rectangular park about 2.5 miles long and about 0.5 mile wide. What is the area of Central Park?

EXAMPLE 3 Multiplying Decimals to Find Area

SOLUTION

Multiplying Decimals2 3.

= l w2.5(0.5)

A = l w

Substitute 2.5 for l and 0.5 for w.

= 1.25

Write formula for area of a rectangle.

ANSWER The area of Central Park is about 1.25 square miles.

Multiply.

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