Explanation Given information: The expression 0.34 2.74 . 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 0.34 . To write it as a whole number, shift the decimal point two places to the right. Thus, 0.34 becomes 34 . In dividend move the decimal point by the same number of places as in the divisor. Here, the dividend is 2.74 . 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, 2.74 becomes 274 . That is, 0.34 2.74 now becomes 34. 274. . Now, in the quotient, the decimal point should be exactly above the decimal point of the dividend as shown below: . 34 274. Now, the divisor is 34 , and as the divisor is of two digits, first consider the two digits of the dividend. First two digits of dividend is 27 and 27 is less than 34 . Therefore, divide the first three digits 274 by 34 . 274 ÷ 34 = 8 with 2 left. Write this estimate 8 in the quotient, and subtract 34 × 8 = 272 from the 274 , as shown below. 8 . 34 274. − 272 _ 2 Since 2 is less than the divisor 34 and there is no digit left in dividend so insert one zero after the decimal and bring down it to the right of 0 8 . 34 274.0 − 272 _ 20 Now, divide 20 by 34 Since 20 is less than 34 , that gives 0 in the quotient. 8 .0 34 274.0 − 272 _ 20 − 0 _ 20 Since 20 is less than the divisor 34 and there is no digit left in dividend, insert one zero after 0 and brig down it to the right of 0 8 .0 34 274.00 − 272 _ 20 − 0 _ 200 Now, divide 200 by 34 200 ÷ 34 = 5 with 30 left. Write this estimate 5 in the quotient next to the 0, and subtract 5 × 34 = 170 from the 200 , as shown below. 8 .05 34 274.00 − 272 _ 20 − 0 _ 200 − 170 _ 30 Since 30 is less than the divisor 34 and there is no digit left in dividend, insert one zero after 0 and brig down it to the right of 0 8 .05 34 274.000 − 272 _ 20 − 0 _ 200 − 170 _ 300 Now, divide 300 by 34 300 ÷ 34 = 8 with 28 left

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ISBN: 9780134896014

Author: Martin-Gay

Publisher: PEARSON

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Chapter 4, Problem 53R

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The division, 0.342.74 and round the quotient to the nearest thousandth if necessary.

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Chapter 4, Problem 52R

Chapter 4, Problem 54R

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The division, 0.34 2.74 and round the quotient to the nearest thousandth if necessary.

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

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The division, 0.342.74 and round the quotient to the nearest thousandth if necessary.

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