NORTHERN ILOILO POLYTECHNIC STATE COLLEGE
CONCEPCION CAMPUS
Concepcion, Iloilo
EEd 103: Teaching Math in Primary Grades Arnold B. Salazar
st
1 Sem A.Y. 2020 - 2021 Subject Professor
MODULE I, Lesson 5
Division of Whole Numbers
Introduction
The basic idea division is inverse multiplication. In this module, you will be taught on how to
teach division of whole numbers to your future pupils.
Instruction
Read the discussion to be able to answer the questions that follow. Perform the required
tasks. Submit the required outputs on the designated retrieval areas after two weeks upon receipt of
this module.
Learning Outcome
Upon completion of this module, the students must have:
1. relate division as a repeated subtraction;
2. express division as inverse operation of multiplication;
3. find the quotients of basic division facts;
4. solved multi-step word problems involving division and other operations.
Learning Content
Dividing whole numbers is the opposite of multiplying whole numbers. It is the process by
which we try to find out how many times a number is contained in another number.
The process of division can be expressed as:
_5_
10 ÷ 2 = 5 or =5 or 10 2
where,
10 is called the dividend or the number being divided;
2 is called the divisor or the number that divides; and
5 is called quotient or he answer in the division.
Teaching Mathematics in Primary Grades
Module 1, Lesson 5 1
Division as a Repeated Subtraction
Division is called repeated subtraction. To answer the question, “how many 2s are in 10”?, we
may either subtract 2 from ten repeatedly or simply divide.
To find the number of 2s in 10 using repeated subtraction, we subtract 2 from 10 repeatedly
until the difference is 0.
10 ÷ 2 = 5
(i) 10 - 2 = 8
(ii) 8 - 2 = 6
(iii) 6 - 2 = 4
(iv) 4 - 2 = 2
(v) 2 - 2 = 0 The process shows that there five 2s in 10.
Other examples
(a) 25 ÷ 5 = 5
(Repeated Subtraction)
(i) 25 - 5 = 20
(ii) 20 - 5 = 15
(iii) 15 - 5 =10
(iv) 10 - 5 = 5
(v) 5 - 5 = 0
(c) 50 ÷ 10 = 5
(Repeated Subtraction)
(i) 50 - 10 = 40.
(ii) 40 - 10 = 30
(iii) 30 - 10 = 20
(iv) 20 - 10 = 10
(v) 10 - 10 = 0
Teaching Mathematics in Primary Grades
Module 1, Lesson 5 2
Division is the inverse of multiplication
Division is inverse operation of multiplication.
a. (i) 12 × 10 = 120
(ii) 120 ÷ 10= 12
(iii) 120 ÷ 12 = 10
b. b. (i) 25 × 5 = 125
(ii) 125 ÷ 5 = 25
(iii) 125 ÷ 25 = 5
Relation between Dividend, Divisor, Quotient
divisor x quotient = dividend
dividend divisor = quotient
dividend quotient = divisor
Division Sentence Multiplication Sentence Answer
9 x ___ = 81 Since 9 x 9 = 81, then 81 9 = 9.
81 9 = ___
42 7 = ___ 7 x ___ = 42 Since 7 x 6 = 42, then 42 7 = 6.
Teaching Mathematics in Primary Grades
Module 1, Lesson 5 3
Basic Division Facts
Teaching Mathematics in Primary Grades
Module 1, Lesson 5 4
References:
Books:
Andrews AG. et al. Harcourt Math, Harcourt Inc. 2002
Camarista, G. and Oranio I. , Teaching Mathematics in Primary Grades, Lorimar
Publishing, 2019
Internet Link:
https://www.math-only-math.com/division-of-whole-numbers.html
https://www.google.com/search?q=division+table+1-9
https://www.basic-mathematics.com/dividing-whole-numbers.html
Teaching Mathematics in Primary Grades
Module 1, Lesson 5 5
Assessment
Name:_________________________ Course, Year & Section:________________
Professor: ARNOLD B. SALAZAR Date: _______________
Subject: Teaching Math in Primary Grades Module 1 Lesson 5
I. Find the quotient by showing that division is repeated subtraction.
1. 24 8
2. 28 7
3. 48
4. 64
5. 56
II. Supply the Missing Number
1. 3 x __ = 27 6. 64 __ = 8
2. 6 x __ = 48 7. 96 __ = 16
3. 27 x __ = 81 8. __ 7 = 11
4. 14 x __ = 56 9. __ 45 = 5
5. 13 x __ = 78 10. __ 6 = 19
III. Division Word Problems
1. Keri is reading a novel that has 650 pages. She has 25 days to finish the book. If Keri reads the
same number of pages each day, how many pages does she read each day?
2. The new baseball stadium holds 64,506 people. There are 26 gates where people enter the
ballpark. The same number of people entered each gate. How many people entered the first
gate?
3. Denny has a baseball card collection. He has 13,789 cards. He wants to put the cards in a
scrapbook that holds 15 cards on a page. How many pages does Denny need in his
scrapbook?
4. A factory can produce 3,360 jellybeans every hour. If each bag contains 35 jellybeans, how
many bags of jellybeans can the factory produce per hour?
5. One medium pepperoni pizza contains 8 slices. The entire pizza contains 1,800 calories. How
many calories are in one slice?
Teaching Mathematics in Primary Grades
Module 1, Lesson 5 6