The document discusses the four operations of integers: addition, subtraction, multiplication, and division. It provides examples of each operation using both positive and negative integers. There are four cases: 1) starting with positive numbers and ending with more positive numbers, 2) starting with positive numbers and ending with more negative numbers, 3) starting with negative numbers and ending with more negative numbers, and 4) starting with negative numbers and ending with more positive numbers. The document also discusses the associative law of multiplication and provides the mathematical equation for it.

1. 005# Math Pedagogy
Test
Operation of Integers

2. What are the Operations of Integers?
There are the four Operations of Integers.
1. Addition
2. Subtraction
3. Multiplication
4. Division

3. Four Cases of Integers Operations
1. Case 1: Start with positive numbers to make more positive numbers
Example: 2+2=4 (Regular Addition)
1. Case 2: Start with positive numbers and make more negative numbers.
Example: 8-3=5 (Regular Subtraction)
1. Case 3: Start with negative numbers and make more negative numbers.
Example: -7+-5=-12
1. Case 4: Start with negative numbers and make more positive numbers.
Example: -9+5=-4

5. 1: According to Distributive Law of Multiplication over Addition, the a x ( b +
c ) must be equal to
A. a x c − b x c
B. a − b x c − b
C. a x b + a x c
D. a x b − a x c ax(b+c)=ab+ac=axb+axc

6. 2: The product of -140 and +8 is
A. 1120
B. 3200
C. −1120
D. −3200 -140x8=-1120

7. 03: Joseph has 10 candies. He gave 4 candies to John and John returned 2
candies to Joseph after few days. The number of candies Joseph has
altogether are
A. 8
B. −8
C. 10
D. −10

8. 04: If a x (b −c) is 8 for a = 2, b = 10 and c = 6 then a x b − a x c is equal to
A. (−8)
B. 12
C. 10
D. 8 axb-axc 2x10-2x6=20-12=8

9. 05:If a, b and c are integers, then according to associative law of
multiplication the ( a x b ) x c must be equal to
A. a x ( b + c )
B. ( a − b ) x c
C. (a + b ) + c
D. a x b + a x c

10. Associative law
Associative law, in mathematics, either of two laws relating to number operations of addition
and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the
terms or factors may be associated in any way desired.