1 INTEGERS

Question 1

Define

INTEGERS

Answer 1

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…..

Question 2

How many properties do the Addition and Substraction of Integers have?

Answer 2

FOUR

1. Closure property under Addition
2. Closure property under Substraction
3. Commutative property
4. Associative property

Question 3

What is Additive identity?

Answer 3

Whe we add zero to any whole number, we get the same whole number. Zero is an additive identity for whole numbers.

Question 4

Is the additive identity property applicable to Integers?

Answer 4

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.

Question 5

Define the Closure property under addition.

Answer 5

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

Question 6

Define Closure property under Substraction.

Answer 6

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

Question 7

Define Commutastive property of

Integers

Answer 7

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.

Question 8

Define associative property in Integers.

Answer 8

a + (b + c) = (a + b) + c

Re-grouping of numbers while adding give the same result.

Addition is associative for integers

Question 9

What is additive identity

Answer 9

When we add zero to any whole number, we get the same whole number. Zero is an additive identity for whole numbers.

Question 10

Write down a pair of integer whose

sum is -7

Answer 10

bbb

Question 11

Write down a pair of integers whose

difference is -10

Answer 11

hhhhh

Question 12

Write down a pair of integer whose

sum is - 0

Answer 12

bbb

Question 13

Name a pair of negative inters whose difference gives

8

Answer 13

gggg

Question 14

Evaluate

15 + (-8)

Answer 14

7

Question 15

Evaluate

(-16) + 9

Answer 15

-7

Question 16

Evaluate

(-7) + (-23)

Answer 16

-30

Question 17

Evaluate

(-32) + 47

Answer 17

ffff

Question 18

Evaluate

53 + (-26)

Answer 18

ffff

Question 19

Evaluate

(-48) + (-36)

Answer 19

84

Question 20

Find the sum of

153 and -302

Answer 20

-149

Question 21

Find the sum of

1005 + (-277)

Answer 21

728

Question 22

Find the sum of

-2035 and 297

Answer 22

(-1748)

Question 23

Find the sum of

-489 and -324

Answer 23

(-813)

Question 24

Find the sum of

-1000 and 438

Answer 24

562

Question 25

Find the sum of -238 and 500

Answer 25

262

Question 26

Find the additive inverse of -83

Answer 26

83

Question 27

Find the additive inverse of 256

Answer 27

-256

Question 28

Find the additive inverse of 0

Answer 28

0

Question 29

Find the additive inverse of -2001

Answer 29

2001

Question 30

Subtract 28 from -42

Answer 30

vv

Question 31

Subtract -36 from 42

Answer 31

fff

Question 32

Subtract -37 from -53

Answer 32

hhh

Question 33

Subtract -66 from -34

Answer 33

32

Question 34

Subtract 318 from 0

Answer 34

-318

Question 35

Subtract -153 from -240

Answer 35

-87

Question 36

Find the product of the following 6 x (-5)

Answer 36

-30

Question 37

Find the product of the following (-7) x 9

Answer 37

-63

Question 38

Find the product of the following 35 x (-18)

Answer 38

-630

Question 39

Find the product of the following (-42) x 20

Answer 39

-840

Question 40

Find the product of the following 12 x 16

Answer 40

192

Question 41

Find the product of the following (-81) x (-14)

Answer 41

1134

Question 42

Find the product of the following (-70) x (31)

Answer 42

2170

Question 43

## Footnote **What is the closure property for Multiplication**

Answer 43

## Footnote **The product of two integers is always an integer**

Question 44

Define Commutative law for Multiplication

Answer 44

For any two integers a and b, we have a x b = b x a

Question 45

# Define ## Footnote **Associative law for Multiplication**

Answer 45

for any integer a, b and c, we have (a x b) x c = a x (b x c)

Question 46

# Define Multiplicative Identity

Answer 46

for every integera, we have _(a x 1) = (1 x a)_ 1 is called the multiplicative identity for integers

Question 47

Is this state True or False The smallest integer is Zero

Answer 47

False

Question 48

Is this state True or False -10 is greater than -7

Answer 48

False

Question 49

Is this state True or False Zero is larger than every negative integer

Answer 49

True

Question 50

Is this state True or False Sum of two negative integers is a negative integer

Answer 50

True

Question 51

Is this state True or False The sum of a negative integer and a positive inter is always positive

Answer 51

False