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
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.