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.
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
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2-Digit Number
● Multiplication of a Number by a 3-Digit Number
● Word Problems on Multiplication
● Division of Two-Digit by a One-Digit Numbers
● Division of Four-Digit by a One-Digit Numbers
● Division by 10 and 100 and 1000
● Division by Two-Digit 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.
Recent Articles
-
Mental Math on Perimeter and Area | Maths Questions Answers
Apr 29, 24 05:57 PM
In mental math on perimeter and area we will solve different type of problems on perimeter of a triangle, perimeter of a square and a rectangle, area of a rectangle, area of a square and word problems… -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Apr 29, 24 04:22 PM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Worksheet on Area of a Square and Rectangle | Area of Squares & Rectan
Apr 29, 24 03:15 PM
We will practice the questions given in the worksheet on area of a square and rectangle. We know the amount of surface that a plane figure covers is called its area. 1. Find the area of the square len… -
Worksheet on Area | Test on Area | Home work on Area | Quiz on Area
Apr 28, 24 05:19 PM
In worksheet on area we will solve different types of question in area. 1. Find the area of a rectangle of length 24 cm and breadth 13 cm. 2. Find the area of a square of side 40 cm. 3. Find the area… -
Preschool Math Activities | Colorful Preschool Worksheets | Lesson
Apr 28, 24 04:19 PM
Preschool math activities are designed to help the preschoolers to recognize the numbers and the beginning of counting. We believe that young children learn through play and from engaging
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.