Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
3. Converting Between Fractions and Decimals
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Exercise 7 Page 65

Multiply as though they were both whole numbers. Place the decimal point in the product by counting the number of decimal places in each factor.

74.16441

Practice makes perfect

Before we find the exact product, we can estimate the multiplication by rounding the decimal numbers. We will round 5.49 to 5 and 13.509 to 14 because these are the closest whole numbers. 5 * 14 = 70The product of 5.49 and 13.509 is about 70. To find the product, we multiply just as we do with two whole numbers. At first, we ignore any decimal points. We should also make sure that the partial products are aligned in the correct place values.

$549 \times 13509 = 7416441$

Then we place the decimal point in the product by counting the number of decimal places in each factor.

placing the decimal point

The product of 5.9 and 13.509 is 74.16441. This is pretty close to our estimate of 70!