We will learn estimating the quotient.
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
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2Digit Number
● Multiplication of a Number by a 3Digit Number
● Word Problems on Multiplication
● Division of TwoDigit by a OneDigit Numbers
● Division of FourDigit by a OneDigit Numbers
● Division by 10 and 100 and 1000
● Division by TwoDigit Numbers
4th Grade Math Activities
From Estimating the Quotient to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.