Free Printable Real Numbers Properties

1.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

2.

3+0=3
is an example of which property?

a)

Multiplicative Inverse

b)

Additive Identity

c)

Multiplicative Identity

d)

Additive inverse

3.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

4.

List all the classifications of numbers that apply to the real number.
-18/6

a)

Rational

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational, Integer

5.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

6.

Identify the property
a + (-a) = 0

a)

Inverse of addition

b)

Identity of addtion

c)

associative of addition

d)

symmetric

7.

1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

8.

Q1. Identify the property

(a ⋅ b) ⋅ c = a • (b • c)

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

9.

Q3. Identify the property.

(4y + 1) • 0 = 0

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Multiplicative Property of Zero

d)

Inverse Property of Multiplication

10.

Q5. Are the rules for multiplying integers the same for adding integers?

a)

Yes

b)

No

11.

Q6. 3 ( - 4) =

a)

7

b)

-7

c)

12

d)

-12

12.

Q7. (-9)(-8)

a)

-72

b)

72

c)

81

d)

-81

13.

Q8. (2)(10)

a)

20

b)

-20

c)

-12

d)

12

14.

Q9. Multiply

(5) • (–9) • (–2)

a)

90

b)

-45

c)

-90

d)

47

15.

Q10. -8(0)=

a)

-8

b)

8

c)

0

d)

-0

16.

Q11. The temperature dropped 3 degrees every hour for six hours. How much did the temperature drop in all?

a)

-18

b)

9

c)

18

d)

-9

17.

Q12. Which expression DOES NOT have a product of −18?

a)

−2 ∗ −9

b)

−6 ∗ 3

c)

−3 ∗ 6

d)

−9 ∗ 2

18.

Q13. 5(-7.2)

a)

-36

b)

-3.6

c)

-360

d)

36

19.

Q14. (-2.5)(1.3)

a)

3.25

b)

-3.25

c)

32.5

d)

-32.5

20.

Q18. Evaluate 2x + y for x = -4 and y = -3

a)

-11

b)

-10

c)

-7

d)

11

21.

Q19. Evaluate -x - 3y for x = -2 and y = 1

a)

-1

b)

1

c)

2

d)

3

22.

Which of the following is NOT a whole number?

a)

0

b)

3

c)

0.4

d)

12

23.

Which of the following is an integer?

a)

$\frac{1}{2}$

b)

0.53

c)

-9

d)

-1.6

24.

Which of the following is Rational?

a)

$\pi$

b)

$\sqrt[]{5}$

c)

0.7196432.....

d)

$0.\overline{9}$

25.

Which of the following is Irrational?

a)

8

b)

$\sqrt[]{4}$

c)

0.67

d)

$\pi$

26.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

27.

ex 2. Subtract
-8-(-1)

a)

-7

b)

7

c)

-9

d)

9

28.

ex 3. Simplify
11+2-2

a)

11

b)

15

29.

ex 3. Simplify
18+3-4

a)

17

b)

-25

30.

ex 3. Simplify
-5-4+2

a)

-7

b)

7

31.

ex 3. Simplify
-3-11+7

a)

-7

b)

7

32.

-6.5 + (-0.5)

a)

-7

b)

7

c)

6

d)

-6

33.

A number that cannot be written in the form $\frac{a}{b}$ , where a and b are intergers and b $\ne$ 0 is known as what kind of number?

a)

rational

b)

irrational

c)

perfect cube

d)

perfect square

34.

A number when multiplied by itself equals the original number is known as...

a)

perfect square

b)

cube root

c)

perfect cube

d)

square root

35.

Which number is irrational?

a)

3.14

b)

√2/1

c)

-1/3

d)

√16

36.

Evaluate: $-\sqrt{121}$

a)

-11

b)

-60.5

c)

60.5

d)

11

37.

What type of number can be expressed as fraction and its decimal terminates or repeats?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

38.

-4 is not a whole number because:

a)

It's negative and whole numbers are positive.

b)

it's irrational.

c)

it cannot be turned into a fraction.

d)

it is even.

39.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

40.

Solve the following:
-8 + (15-3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

41.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

42.

True or False?
2 x 3 + 10 ÷ 2 = 8

a)

True

b)

False

43.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

44.

Find and explain the error.
5 - 3 + 2
= 5 - 5
= 0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

45.

True or False?
2 + (4 x 5 - 2) + 8 = 28

a)

True

b)

False

46.

What would be my first step in solving this problem?
3 + 4 x 6 - 4

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

47.

What would be the 2nd step in solving this problem:
(4 - 2) + 9 x 7

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

48.

What are the steps to solve the following expression?
50 − 16 ÷ 2 x (12 + 4)

a)

brackets
multiplication
subtraction
division

b)

brackets
multiplication
division
subtraction

c)

brackets
division
multiplication
subtraction

d)

brackets
subtraction
multiplication
division

49.

True or False:
5(-2) - 3 = -7

a)

True

b)

False

50.

Which operation cannot be performed first?
6² + (-1 - 8) + 5 - 7(3 - 4)

a)

6²

b)

-1 - 8

c)

5 - 7

d)

3 - 4

51.

12 - (-4)_² + 4

a)

32

b)

8

c)

-8

d)

0

52.

True or False: When you square a negative number, it becomes positive.

a)

True

b)

False

53.

8 + (15 - 4) x 2 - 10 ÷ 5

a)

28

b)

30

c)

14

d)

17

54.

2 + [(20 - 13) x 5] ÷ (4 + 3)

a)

5

b)

6

c)

7

d)

8

55.

5² + 12 ÷ 4 - 5

a)

23

b)

24

c)

22

d)

20

56.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

57.

Which operation is performed SECOND?
(13 - 1) + 4

a)

addition +

b)

subtraction -

c)

multiplication X

58.

What does the E in PEMDAS stand for?

a)

Exceptional

b)

Egg

c)

Exponent

Real Numbers Properties

Total questions: 58

Worksheet time: 3hrs 10mins

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