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7 MATHS > 1 INTEGERS > Flashcards

1 INTEGERS Flashcards

1
Q

Define

INTEGERS

A

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…..

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2
Q

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

A

FOUR

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

What is Additive identity?

A

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

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4
Q

Is the additive identity property applicable to Integers?

A

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.

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5
Q

Define the Closure property under addition.

A

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

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6
Q

Define Closure property under Substraction.

A

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

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7
Q

Define Commutastive property of

Integers

A

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.

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8
Q

Define associative property in Integers.

A

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

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

Addition is associative for integers

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9
Q

What is additive identity

A

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

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10
Q

Write down a pair of integer whose

sum is -7

A

bbb

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11
Q

Write down a pair of integers whose

difference is -10

A

hhhhh

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12
Q

Write down a pair of integer whose

sum is - 0

A

bbb

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13
Q

Name a pair of negative inters whose difference gives

8

A

gggg

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14
Q

Evaluate

15 + (-8)

A

7

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15
Q

Evaluate

(-16) + 9

A

-7

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16
Q

Evaluate

(-7) + (-23)

A

-30

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17
Q

Evaluate

(-32) + 47

A

ffff

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18
Q

Evaluate

53 + (-26)

A

ffff

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19
Q

Evaluate

(-48) + (-36)

A

84

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20
Q

Find the sum of

153 and -302

A

-149

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21
Q

Find the sum of

1005 + (-277)

A

728

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22
Q

Find the sum of

-2035 and 297

A

(-1748)

23
Q

Find the sum of

-489 and -324

A

(-813)

24
Q

Find the sum of

-1000 and 438

A

562

25
Q

Find the sum of

-238 and 500

A

262

26
Q

Find the additive inverse of

-83

A

83

27
Q

Find the additive inverse of

256

A

-256

28
Q

Find the additive inverse of

0

A

0

29
Q

Find the additive inverse of

-2001

A

2001

30
Q

Subtract

28 from -42

A

vv

31
Q

Subtract

-36 from 42

A

fff

32
Q

Subtract

-37 from -53

A

hhh

33
Q

Subtract

-66 from -34

A

32

34
Q

Subtract

318 from 0

A

-318

35
Q

Subtract

-153 from -240

A

-87

36
Q

Find the product of the following

6 x (-5)

A

-30

37
Q

Find the product of the following

(-7) x 9

A

-63

38
Q

Find the product of the following

35 x (-18)

A

-630

39
Q

Find the product of the following

(-42) x 20

A

-840

40
Q

Find the product of the following

12 x 16

A

192

41
Q

Find the product of the following

(-81) x (-14)

A

1134

42
Q

Find the product of the following

(-70) x (31)

A

2170

43
Q

What is the closure property for Multiplication

A

The product of two integers is always an integer

44
Q

Define Commutative law for Multiplication

A

For any two integers a and b, we have

a x b = b x a

45
Q

Define

Associative law for Multiplication

A

for any integer a, b and c, we have

(a x b) x c = a x (b x c)

46
Q

Define

Multiplicative

Identity

A

for every integera, we have

(a x 1) = (1 x a)

1 is called the multiplicative identity for integers

47
Q

Is this state True or False

The smallest integer is Zero

A

False

48
Q

Is this state True or False

-10 is greater than -7

A

False

49
Q

Is this state True or False

Zero is larger than every negative integer

A

True

50
Q

Is this state True or False

Sum of two negative integers is a negative integer

A

True

51
Q

Is this state True or False

The sum of a negative integer and a positive inter is always positive

A

False

52
Q
A
53
Q
A

7 MATHS (15 decks)

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