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: 9780134506395

Author: CLEAVES

Publisher: PEARSON

See similar textbooks

Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Videos

Question

Chapter 1, Problem 69ES

To determine

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1, Problem 68ES

Chapter 1, Problem 70ES

Students have asked these similar questions

Based on the boxplot above, identify the 5 number summary

In the 2018 PA gubernatorial election, Tom Wolf received 2,895,662 votes. Those votesrepresented 57.8% of all votes. How many total votes were cast? (Round to the nearestwhole number.)

Use the fundamental counting principle to dins the total number of possible outcomes A)12 B)59 C)16 D)60

Chapter 1 Solutions

Business Math (LooseLeaf)

Ch. 1.1 - Prob. 1-1SC Ch. 1.1 - Prob. 1-2SC Ch. 1.1 - Prob. 1-3SC Ch. 1.1 - Prob. 1-4SC Ch. 1.1 - Prob. 2-1SC Ch. 1.1 - Prob. 2-2SC Ch. 1.1 - Prob. 2-3SC Ch. 1.1 - Prob. 2-4SC Ch. 1.1 - Prob. 3-1SC Ch. 1.1 - Prob. 3-2SC

Ch. 1.1 - Prob. 3-3SC Ch. 1.1 - Prob. 3-4SC Ch. 1.1 - Prob. 3-5SC Ch. 1.1 - Prob. 3-6SC Ch. 1.1 - Prob. 4-1SC Ch. 1.1 - Prob. 4-2SC Ch. 1.1 - Prob. 4-3SC Ch. 1.1 - Prob. 4-4SC Ch. 1.1 - Prob. 1SE Ch. 1.1 - Prob. 2SE Ch. 1.1 - Prob. 3SE Ch. 1.1 - Prob. 4SE Ch. 1.1 - Prob. 5SE Ch. 1.1 - Prob. 6SE Ch. 1.1 - Prob. 7SE Ch. 1.1 - Prob. 8SE Ch. 1.1 - Prob. 9SE Ch. 1.1 - Prob. 10SE Ch. 1.1 - Prob. 11SE Ch. 1.1 - Prob. 12SE Ch. 1.1 - Prob. 13SE Ch. 1.1 - Prob. 14SE Ch. 1.1 - Prob. 15SE Ch. 1.1 - Prob. 16SE Ch. 1.1 - Prob. 17SE Ch. 1.1 - Prob. 18SE Ch. 1.1 - Prob. 19SE Ch. 1.1 - Prob. 20SE Ch. 1.1 - Prob. 21SE Ch. 1.1 - Prob. 22SE Ch. 1.1 - Prob. 23SE Ch. 1.1 - Prob. 24SE Ch. 1.1 - Prob. 25SE Ch. 1.1 - Prob. 26SE Ch. 1.2 - Prob. 1-1SC Ch. 1.2 - Prob. 1-2SC Ch. 1.2 - Prob. 1-3SC Ch. 1.2 - Prob. 1-4SC Ch. 1.2 - Prob. 1-5SC Ch. 1.2 - Prob. 1-6SC Ch. 1.2 - Prob. 1-7SC Ch. 1.2 - Prob. 1-8SC Ch. 1.2 - Prob. 1-9SC Ch. 1.2 - Prob. 1-10SC Ch. 1.2 - Prob. 1-11SC Ch. 1.2 - Prob. 1-12SC Ch. 1.2 - Prob. 2-1SC Ch. 1.2 - Prob. 2-2SC Ch. 1.2 - Prob. 2-3SC Ch. 1.2 - Prob. 2-4SC Ch. 1.2 - Prob. 2-5SC Ch. 1.2 - Prob. 2-6SC Ch. 1.2 - Prob. 3-1SC Ch. 1.2 - Prob. 3-2SC Ch. 1.2 - Prob. 3-3SC Ch. 1.2 - Prob. 3-4SC Ch. 1.2 - Prob. 3-5SC Ch. 1.2 - Prob. 3-6SC Ch. 1.2 - Prob. 3-7SC Ch. 1.2 - Prob. 3-8SC Ch. 1.2 - Prob. 3-9SC Ch. 1.2 - Prob. 3-10SC Ch. 1.2 - Prob. 4-1SC Ch. 1.2 - Prob. 4-2SC Ch. 1.2 - Prob. 4-3SC Ch. 1.2 - Prob. 4-4SC Ch. 1.2 - Prob. 4-5SC Ch. 1.2 - Prob. 4-6SC Ch. 1.2 - Prob. 4-7SC Ch. 1.2 - Prob. 4-8SC Ch. 1.2 - Prob. 4-9SC Ch. 1.2 - Prob. 4-10SC Ch. 1.2 - Prob. 5-1SC Ch. 1.2 - Prob. 5-2SC Ch. 1.2 - Prob. 5-3SC Ch. 1.2 - Prob. 5-4SC Ch. 1.2 - Prob. 1SE Ch. 1.2 - Prob. 2SE Ch. 1.2 - Prob. 3SE Ch. 1.2 - Prob. 4SE Ch. 1.2 - Prob. 5SE Ch. 1.2 - Prob. 6SE Ch. 1.2 - Prob. 7SE Ch. 1.2 - Prob. 8SE Ch. 1.2 - Prob. 9SE Ch. 1.2 - Prob. 10SE Ch. 1.2 - Prob. 11SE Ch. 1.2 - Prob. 12SE Ch. 1.2 - Prob. 13SE Ch. 1.2 - Prob. 14SE Ch. 1.2 - Prob. 15SE Ch. 1.2 - Prob. 16SE Ch. 1.2 - Prob. 17SE Ch. 1.2 - Prob. 18SE Ch. 1.2 - Prob. 19SE Ch. 1.2 - Prob. 20SE Ch. 1.2 - Prob. 21SE Ch. 1.2 - Prob. 22SE Ch. 1.2 - Prob. 23SE Ch. 1.2 - Prob. 24SE Ch. 1.2 - Prob. 25SE Ch. 1.2 - Prob. 26SE Ch. 1.2 - Prob. 27SE Ch. 1.2 - Prob. 28SE Ch. 1.2 - Prob. 29SE Ch. 1.2 - Prob. 30SE Ch. 1.2 - Prob. 31SE Ch. 1.2 - Prob. 32SE Ch. 1.2 - Prob. 33SE Ch. 1.2 - Prob. 34SE Ch. 1.2 - Prob. 35SE Ch. 1.2 - Prob. 36SE Ch. 1.2 - Prob. 37SE Ch. 1.2 - Prob. 38SE Ch. 1.2 - Prob. 39SE Ch. 1.2 - Prob. 40SE Ch. 1.2 - Prob. 41SE Ch. 1.2 - Prob. 42SE Ch. 1.2 - Prob. 43SE Ch. 1.2 - Prob. 44SE Ch. 1.2 - Prob. 45SE Ch. 1.2 - Prob. 46SE Ch. 1.2 - Prob. 47SE Ch. 1.2 - Prob. 48SE Ch. 1.2 - Prob. 49SE Ch. 1.2 - Prob. 50SE Ch. 1.2 - Prob. 51SE Ch. 1.2 - Prob. 52SE Ch. 1.2 - Prob. 53SE Ch. 1.2 - Prob. 54SE Ch. 1.2 - Prob. 55SE Ch. 1.2 - Prob. 56SE Ch. 1 - Prob. 1ES Ch. 1 - Prob. 2ES Ch. 1 - Prob. 3ES Ch. 1 - Prob. 4ES Ch. 1 - Prob. 5ES Ch. 1 - Prob. 6ES Ch. 1 - Prob. 7ES Ch. 1 - Prob. 8ES Ch. 1 - Prob. 9ES Ch. 1 - Prob. 10ES Ch. 1 - Prob. 11ES Ch. 1 - Prob. 12ES Ch. 1 - Prob. 13ES Ch. 1 - Prob. 14ES Ch. 1 - Prob. 15ES Ch. 1 - Prob. 16ES Ch. 1 - Prob. 17ES Ch. 1 - Prob. 18ES Ch. 1 - Prob. 19ES Ch. 1 - Prob. 20ES Ch. 1 - Prob. 21ES Ch. 1 - Prob. 22ES Ch. 1 - Prob. 23ES Ch. 1 - Prob. 24ES Ch. 1 - Prob. 25ES Ch. 1 - Prob. 26ES Ch. 1 - Prob. 27ES Ch. 1 - Prob. 28ES Ch. 1 - Prob. 29ES Ch. 1 - Prob. 30ES Ch. 1 - Prob. 31ES Ch. 1 - Prob. 32ES Ch. 1 - Prob. 33ES Ch. 1 - Prob. 34ES Ch. 1 - Prob. 35ES Ch. 1 - Prob. 36ES Ch. 1 - Prob. 37ES Ch. 1 - Prob. 38ES Ch. 1 - Prob. 39ES Ch. 1 - Prob. 40ES Ch. 1 - Prob. 41ES Ch. 1 - Prob. 42ES Ch. 1 - Prob. 43ES Ch. 1 - Prob. 44ES Ch. 1 - Prob. 45ES Ch. 1 - Prob. 46ES Ch. 1 - Prob. 47ES Ch. 1 - Prob. 48ES Ch. 1 - Prob. 49ES Ch. 1 - Prob. 50ES Ch. 1 - Prob. 51ES Ch. 1 - Prob. 52ES Ch. 1 - Prob. 53ES Ch. 1 - Prob. 54ES Ch. 1 - Prob. 55ES Ch. 1 - Prob. 56ES Ch. 1 - Prob. 57ES Ch. 1 - Prob. 58ES Ch. 1 - Prob. 59ES Ch. 1 - Prob. 60ES Ch. 1 - Prob. 61ES Ch. 1 - Prob. 62ES Ch. 1 - Prob. 63ES Ch. 1 - Prob. 64ES Ch. 1 - Prob. 65ES Ch. 1 - Prob. 66ES Ch. 1 - Prob. 67ES Ch. 1 - Prob. 68ES Ch. 1 - Prob. 69ES Ch. 1 - Prob. 70ES Ch. 1 - Prob. 71ES Ch. 1 - Prob. 72ES Ch. 1 - Prob. 73ES Ch. 1 - Prob. 74ES Ch. 1 - Prob. 75ES Ch. 1 - Prob. 76ES Ch. 1 - Prob. 77ES Ch. 1 - Prob. 78ES Ch. 1 - Prob. 79ES Ch. 1 - Prob. 80ES Ch. 1 - Prob. 81ES Ch. 1 - Prob. 82ES Ch. 1 - Prob. 83ES Ch. 1 - Prob. 84ES Ch. 1 - Prob. 85ES Ch. 1 - Prob. 86ES Ch. 1 - Prob. 87ES Ch. 1 - Prob. 88ES Ch. 1 - Prob. 89ES Ch. 1 - Prob. 1PT Ch. 1 - Prob. 2PT Ch. 1 - Prob. 3PT Ch. 1 - Prob. 4PT Ch. 1 - Prob. 5PT Ch. 1 - Prob. 6PT Ch. 1 - Prob. 7PT Ch. 1 - Prob. 8PT Ch. 1 - Prob. 9PT Ch. 1 - Prob. 10PT Ch. 1 - Prob. 11PT Ch. 1 - Prob. 12PT Ch. 1 - Prob. 13PT Ch. 1 - Prob. 14PT Ch. 1 - Prob. 15PT Ch. 1 - Prob. 16PT Ch. 1 - Prob. 17PT Ch. 1 - Prob. 18PT Ch. 1 - Prob. 19PT Ch. 1 - Prob. 20PT Ch. 1 - Prob. 21PT Ch. 1 - Prob. 22PT Ch. 1 - Prob. 23PT Ch. 1 - Prob. 24PT Ch. 1 - Prob. 25PT Ch. 1 - Prob. 26PT Ch. 1 - Prob. 27PT Ch. 1 - Prob. 28PT Ch. 1 - Prob. 29PT Ch. 1 - Prob. 30PT Ch. 1 - Prob. 31PT Ch. 1 - Prob. 32PT Ch. 1 - Prob. 1CT Ch. 1 - Prob. 2CT Ch. 1 - Prob. 3CT Ch. 1 - Prob. 4CT Ch. 1 - Prob. 5CT Ch. 1 - Prob. 6CT Ch. 1 - Prob. 7CT Ch. 1 - Prob. 8CT Ch. 1 - Prob. 9CT Ch. 1 - Prob. 10CT Ch. 1 - Prob. 11CT Ch. 1 - Prob. 12CT Ch. 1 - Prob. 1CP Ch. 1 - Prob. 2CP Ch. 1 - Prob. 1CS1 Ch. 1 - Prob. 2CS1 Ch. 1 - Prob. 3CS1 Ch. 1 - Prob. 1CS2 Ch. 1 - Prob. 2CS2 Ch. 1 - Prob. 3CS2 Ch. 1 - Prob. 1CS3 Ch. 1 - Prob. 2CS3 Ch. 1 - Prob. 3CS3 Ch. 1 - Prob. 4CS3 Ch. 1 - Prob. 5CS3

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

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.

Concept explainers

Videos

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.

Want to see the full answer?

Chapter 1 Solutions