1 INTEGERS Flashcards
Define
INTEGERS
Integers are a bigger collection of numbers which is formed by whole numbers and their negatives.
……..-4, -3, -2, -1, 0, 1, 2, 3, 4…..
How many properties do the Addition and Substraction of Integers have?
FOUR
- Closure property under Addition
- Closure property under Substraction
- Commutative property
- Associative property
What is Additive identity?
Whe we add zero to any whole number, we get the same whole number. Zero is an additive identity for whole numbers.
Is the additive identity property applicable to Integers?
Yes. Additive property says that when we add zero to any whole number, we get the same whole number. When zero is added to an integer we get the same integer.
Define the Closure property under addition.
Integers are closed under addition because addition of integers gives integers.
Integers are closed under substraction
If a and b are integers then a - b is also an integer
Define Closure property under Substraction.
Integers are closed under Substraction because Substraction of integers give integers.
Integers are closed under substraction
If a and b are integers then a - b is also an integer
Define Commutastive property of
Integers
Whole numbers can be added in any order.
3 + 5 = 5 + 3 = 8
Integers can also be added in any order.
Hence we can say that addition is commutative for integers.
Define associative property in Integers.
a + (b + c) = (a + b) + c
Re-grouping of numbers while adding give the same result.
Addition is associative for integers
What is additive identity
When we add zero to any whole number, we get the same whole number. Zero is an additive identity for whole numbers.
Write down a pair of integer whose
sum is -7
bbb
Write down a pair of integers whose
difference is -10
hhhhh
Write down a pair of integer whose
sum is - 0
bbb
Name a pair of negative inters whose difference gives
8
gggg
Evaluate
15 + (-8)
7
Evaluate
(-16) + 9
-7
Evaluate
(-7) + (-23)
-30
Evaluate
(-32) + 47
ffff
Evaluate
53 + (-26)
ffff
Evaluate
(-48) + (-36)
84
Find the sum of
153 and -302
-149
Find the sum of
1005 + (-277)
728
Find the sum of
-2035 and 297
(-1748)
Find the sum of
-489 and -324
(-813)
Find the sum of
-1000 and 438
562
Find the sum of
-238 and 500
262
Find the additive inverse of
-83
83
Find the additive inverse of
256
-256
Find the additive inverse of
0
0
Find the additive inverse of
-2001
2001
Subtract
28 from -42
vv
Subtract
-36 from 42
fff
Subtract
-37 from -53
hhh
Subtract
-66 from -34
32
Subtract
318 from 0
-318
Subtract
-153 from -240
-87
Find the product of the following
6 x (-5)
-30
Find the product of the following
(-7) x 9
-63
Find the product of the following
35 x (-18)
-630
Find the product of the following
(-42) x 20
-840
Find the product of the following
12 x 16
192
Find the product of the following
(-81) x (-14)
1134
Find the product of the following
(-70) x (31)
2170
What is the closure property for Multiplication
The product of two integers is always an integer
Define Commutative law for Multiplication
For any two integers a and b, we have
a x b = b x a
Define
Associative law for Multiplication
for any integer a, b and c, we have
(a x b) x c = a x (b x c)
Define
Multiplicative
Identity
for every integera, we have
(a x 1) = (1 x a)
1 is called the multiplicative identity for integers
Is this state True or False
The smallest integer is Zero
False
Is this state True or False
-10 is greater than -7
False
Is this state True or False
Zero is larger than every negative integer
True
Is this state True or False
Sum of two negative integers is a negative integer
True
Is this state True or False
The sum of a negative integer and a positive inter is always positive
False
