Explanation Given Information: The division 85 748 , 431 . Formula used: The division of the whole numbers is carried out through following steps: (1) Round the numbers to the first digit and divide the rounded numbers. (2) Calculate the exact quotient manually. (3) Compare the estimated quotient and the exact quotient to check the reasonability of the answer. (4) Find the product of quotient and divisor and add it to remainder and check whether this sum equals dividend which verifies the answer. Calculation: Consider the provided operation of division. 85 748 , 431 First round the numbers to the first digit and divide the rounded numbers. Find the first partial quotient. So, 90 8 748 , 431 720 _ 28 Bring down the next digit of the dividend which is 0 and write it next to the obtained difference. Again, repeat the operation of division. So, 90 83 748 , 431 720 _ 284 270 _ 14 Repeat the same procedure and the division is performed as, 90 8317 748 , 431 720 _ 284 270 _ 143 90 _ 631 630 _ 1 Thus, the estimated quotient is obtained as 8000 . Now calculate the exact quotient manually. Start with the leftmost digit. Find the first group of digits in the dividend which is greater than or equal to the divisor. So, the first partial dividend is 748

11th Edition

ISBN: 9780134496436

Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble

Publisher: PEARSON

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Chapter 1, Problem 69ES

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To calculate: The estimated quotient of the division 85748,431 by rounding of the numbers to and then calculate the exact result with answer for division written in the form of whole-number remainder.

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Chapter 1, Problem 68ES

Chapter 1, Problem 70ES

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The estimated quotient of the division 85 748 , 431 by rounding of the numbers to and then calculate the exact result with answer for division written in the form of whole-number remainder.

Solution Summary: The author calculates the estimated quotient of the division 85overline)748,431 by rounding the numbers to and then calculate the exact result with whole-number remainder.

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To calculate: The estimated quotient of the division 85748,431 by rounding of the numbers to and then calculate the exact result with answer for division written in the form of whole-number remainder.

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Chapter 1 Solutions