Explanation Given information: The expression 0.82 4.756 . Explanation: The steps for dividing by a decimal 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 0.82 . To write it as a whole number, shift the decimal point two places to the right. Thus, 0.82 becomes 82 . In dividend move the decimal point by the same number of places as in the divisor. Here, the dividend is 4.756 . Since the decimal point in the divisor is moved two places to its right, the decimal point in the dividend should also be moved two places to its right. Thus, 4.756 becomes 475.6 . That is, 0.82 4.756 now becomes 82. 475.6 . Now, in the quotient, the decimal point should be exactly above the decimal point of the dividend as shown below: . 82 475.6 Now, the divisor is 82 , and as the divisor is of two digits, first consider the two digits of the dividend. First two digits of dividend is 47 and 47 is less than 82 . Therefore, divide first three digits 475 by 82 . 475 ÷ 82 = 5 with 65 left. Write this estimate 5 in the quotient, and subtract 82 × 5 = 410 from the 475 , as shown below. 5 . 82 475.6 − 410 _ 65 As 65 is less than the divisor 82 , so bring down the 6 next to 65 . Thus it becomes 656 . 5

4th Edition

ISBN: 9780134896014

Author: Martin-Gay

Publisher: PEARSON

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Chapter 4.5, Problem 7ES

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The division of 0.824.756.

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The division of 0.82 4.756 .

Solution Summary: The author explains how to divide 0.82overline)4.756 into a whole number by moving the decimal point in the divisor to its right by as many spaces required.

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The division of 0.824.756.

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