Explanation Given information: The expression 2.2 21.78 . Explanation: The steps for dividing by adecimal are as follows: Change the divisor into a whole number by moving the decimal point in the divisor to its right by as many spaces required. Here, the divisor is 2.2 . To write it as a whole number, shift the decimal point one place to the right. Thus, 2.2 becomes 22 . In dividend move the decimal point by the same number of places as in the divisor. Here, the dividend is 21.78 . Since the decimal point in the divisor is moved one place to its right, the decimal point in the dividend should also be moved one place to its right. Thus, 21.78 becomes 217.8 . That is, 2.2 21.78 now becomes 22. 217.8 . Now, in the quotient, the decimal point should be exactly above the decimal point of the dividend as shown below: . 22. 217.8 Consider the expression . 22. 217.8 First two digits of dividend is 21 and 21 is less than 22 . Therefore, divide first three digits 217 by 22 . 217 ÷ 22 = 9 with 19 left. Write this estimate 9 in the quotient, and subtract 22 × 9 = 198 from the 19 , as shown below. 22 9 . 217.8 − 198 _ 19 As 19 is less than 22 , bring down the 8 from the dividend and write it next to 19 , and divide three digits 198 by 22 . 22 9 . 217.8 − 198 _ 19 8 198 ÷ 22 = 9 with 0 left

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ISBN: 9780134896014

Author: Martin-Gay

Publisher: PEARSON

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Chapter 4.5, Problem 10ES

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The division 2.221.78.

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The division 2.2 21.78 .

Solution Summary: The author explains the steps for dividing by adecimal by moving the decimal point in the divisor to its right by as many spaces required.

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