Estimating the Quotient

We will learn estimating the quotient.

To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

In a division sum, when the divisor is made up of 2 digits or more than 2 digits, it helps if we first estimate the quotient and then try to find the actual number.

(i) Divide 84 by 21

Round the number to the nearest ten

84 ÷ 21 → 80 ÷ 20

Calculate mentally.

8 ÷ 2 = 4

Estimated quotient = 4

(ii) 242 ÷ 22

Round to the nearest ten

240 ÷ 20

Calculate mentally

24 ÷ 2 = 12

Estimated quotient = 12

In the process of division, the estimation of quotient plays a great role in its solution. Let us see this in the following questions on division.

1. 74 ÷ 35

2. 627 ÷ 23

3. 694 ÷ 56

4. 975 ÷ 48

1. 74 ÷ 35 is approximately the same as 70 ÷ 40, i.e., 7 ÷ 4 (74 → 70 & 35 → 40)

7 ÷ 4 is approximately 2.

So, estimated quotient is 2.

2. 627 ÷ 23 is approximately the same as 600 ÷ 20 = 60 ÷ 2 = 30

(627 → 600 & 23 → 20)

So, the estimated quotient is 30.

3. 694 ÷ 56 is approximately the same as 700 ÷ 60 or 70 ÷ 6

70 ÷ 6 is approximately = 12.

So, the estimated quotient =12

4. 975 ÷ 48 is approximately 1000 ÷ 50 = 100 ÷ 5 = 20

So, estimated quotient = 20

Question and Answers on Estimation in Division:

1. Estimate by rounding each number and then divide. One is done for you.

$Estimation in Division$

Answers:

(ii) 90 ÷ 30; Q = 3, R = 0

(iii) 300 ÷ 100; Q = 3, R = 0

(iv) 2400 ÷ 1000; Q = 2, R = 400

(v) 700 ÷ 200; Q = 3, R = 100

(vi) 5400 ÷ 4000; Q = 1, R = 1400

(vii) 9000 ÷ 6000; Q = 1, R = 3000

You might like these

Check for Subtraction and Addition | Checking Subtraction | Problems
We will learn to check for subtraction and addition answers after solving. Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.
Worksheet on Word Problems on Addition and Subtraction Together | Ans
In 4th grade worksheet on word problems on addition and subtraction, all grade students can practice the questions on word problems based on addition and subtraction. This exercise sheet on
Successor and Predecessor | Successor of a Whole Number | Predecessor
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also
$The various types of fractions are: 1. Like fractions: The fractions having the same denominators are known as like fractions.$

Types of Fractions |Like Fractions|Unit fractions|Proper & Improper Fr
The various types of fractions are: 1. Like fractions: The fractions having the same denominators are known as like fractions.
4th Grade Numbers Worksheets | Place Value Chart | Expended Form
In 5th Grade Numbers Worksheets we will solve how to read and write large numbers, use of place value chart to write a number in expanded form, represent the large number on the abacus, write the number in standard form, compare with another number and arrange numbers
Word Problems on Division | Examples on Word Problems on Division
Word problems on division for fourth grade students are solved here step by step. Consider the following examples on word problems involving division: 1. $5,876 are distributed equally among 26 men. How much money will each person get?
Word Problems on Multiplication |Multiplication Word Problem Worksheet
Word problems on multiplication for fourth grade students are solved here step by step. Problem Sums Involving Multiplication: 1. 24 folders each has 56 sheets of paper inside them. How many sheets of paper are there altogether? Solution: We can add 56 sheets 24 times
Division by Two-Digit Numbers | Knowledge of Estimation | Division
In division by two-digit numbers we will practice dividing two, three, four and five digits by two-digit numbers. Consider the following examples on division by two-digit numbers: Let us use our knowledge of estimation to find the actual quotient. 1. Divide 94 by 12
Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication
In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137
Division by 10 and 100 and 1000 |Division Process|Facts about Division
Division by 10 and 100 and 1000 are explained here step by step. when we divide a number by 10, the digit at ones place of the given number becomes the remainder and the digits at the remaining places of the number given the quotient.
Terms Used in Division | Dividend | Divisor | Quotient | Remainder
The terms used in division are dividend, divisor, quotient and remainder. Division is repeated subtraction. For example: 24 ÷ 6 How many times would you subtract 6 from 24 to reach 0?
Multiplication | How to Multiply a One, Two or Three-digit Number?
In multiplication we know how to multiply a one, two or three-digit number by another 1 or 2-digit number. We also know how to multiply a four-digit number by a 2-digit number. We also know the different methods of multiplication. Here, we shall make use of the methods and
Subtraction with Regrouping | 4-Digit, 5-Digit and 6-Digit Subtraction
We will learn subtraction 4-digit, 5-digit and 6-digit numbers with regrouping. Subtraction of 4-digit numbers can be done in the same way as we do subtraction of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start
Addition & Subtraction Together |Combination of addition & subtraction
We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and ‘-‘ signs. We find the sum of the numbers with ‘+’ sign and similarly the sum
4th Grade Subtraction Worksheets | 4-Digit Subtraction |Math Only Math
In 4th grade subtraction worksheet we will solve 4-Digit Subtraction, word problem on subtraction, Estimate the difference by rounding off the given numbers, successor and predecessor of a number.