Explanation Given information: Divide 0.549 by 0.023 . 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 0.023 . To write it as a whole number, shift the decimal point three places to the right. Thus, 0.023 becomes 23 . In dividend move the decimal point by the same number of places as in the divisor. Here the dividend is 0.549 . Since, the decimal point in the divisor is moved three places to its right, the decimal point in the dividend should also be moved three places to its right. Thus, 0.549 becomes 549 . Therefore, the divisionbecomes 23. 549. . Now, in the quotient, the decimal point should be exactly above the decimal point of the dividend as shown below: . 23 549. Now the divisor is 23 , and as the divisor is of two digits, first consider the two digits of the dividend. Therefore, divide first two digits of 549 by 23 . 54 ÷ 23 = 2 with 8 left. Write this estimate 2 in the quotient, and subtract 23 × 2 = 46 from the 54 , as shown below. 2 . 23 549. − 46 _ 8 As 8 is less than the divisor 23 , so bring down the 9 next to 8 . Thus it becomes 89 . 2 . 23 549. − 46 _ 89 Now divide 89 by 23 . 89 ÷ 23 = 3 with 20 left, thus write 3 in quotient next to 2 and subtract, 23 × 3 = 69 from 89 as below. 23 . 23 549. − 46 _ 89 − 69 _ 20 As 20 is less than the divisor 23 and there is no digit left in dividend so insert one zero after the decimal number and bring down it to the right of 20 . 23 . 23 549.0 − 46 _ 89 − 69 _ 200 Now, divide 200 by 23 . 200 ÷ 23 = 8 with 16 left. Write this estimate 8 in the quotient next to the decimal point, and subtract 23 × 8 = 184 from 200 , as shown below. 23 .8 23 549.0 − 46 _ 89 − 69 _ 200 − 184 _ 16 As 16 is less than the divisor 23 and there is no digit left in dividend so insert one zero after the decimal number and bring down it to the right of 16 . 23 .8 23 549.00 − 46 _ 89 − 69 _ 200 − 184 _ 160 Now, divide 160 by 23

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Author: Martin-Gay

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Chapter 4.5, Problem 37ES

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The division of 0.549 by 0.023 and round the quotient to the nearest hundredth.

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Chapter 4.5, Problem 36ES

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The division of 0.549 by 0.023 and round the quotient to the nearest hundredth.

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

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