Free Printable Operation of Rational Numbers

1.

John had 5 apples. He bought 6 more but then gave away 8 and ate 9. How many apples does he have now?

a)

-5

b)

5

c)

21

d)

21

2.

A group of students are working on a project to convert fractions to decimal numbers in a real-world context. They are using this knowledge to understand the distribution of resources in their community, ensuring fairness and equality. They come across the fraction 3/8. If they were to convert this fraction to a decimal number, what would it be? This question requires higher-order thinking skills as it involves application of mathematical knowledge in a real-world context.

a)

0.375

b)

0.38

c)

0.8375

d)

0.3875

3.

-6 + 8 - 14 + 17

a)

-5

b)

5

c)

-19

d)

-21

4.

$5^2-27-8+2^3$

a)

-18

b)

-2

c)

14

d)

52

5.

$\left(-2\right)^3-9+12-8^1+2$

a)

-15

b)

5

c)

-11

d)

7

6.

$10+\left(-5\right)^2-4^2-\left(-8\right)$

a)

-23

b)

59

c)

27

d)

11

7.

$-7.8\div-6$

a)

-1.3

b)

1.3

c)

1.8

d)

-3.2

8.

$-\frac{8}{9}+\left(-\frac{2}{9}\right)$

a)

$-\frac{6}{9}$

b)

$-1\ \frac{1}{9}$

c)

$1\ \frac{1}{9}$

d)

$\frac{2}{3}$

9.

-10 + 8

a)

-2

b)

2

c)

18

d)

-18

10.

convert $\frac{2}{3}$ to decimal number...

a)

0.6

b)

0.66

c)

0.70

d)

6.6

11.

Convert $\frac{5}{4}$ to decimal number...

a)

1.20

b)

1.25

c)

1.35

d)

1.4

12.

Convert $-\frac{6}{7}$ to decimal number...

a)

-0.857

b)

-0.875

c)

-0.765

d)

-0.5871

13.

convert to $\frac{4}{5}=...\%$

a)

20%

b)

40%

c)

70%

d)

80%

14.

$\left(+\right)\times\left(-\right)\ =?$

a)

POSITIVE

b)

NEGATIVE

15.

$\left(-\right)\times\left(+\right)\ =?$

a)

POSITIVE

b)

NEGATIVE

16.

So far do you understand majority of the questions in this slideshow?

a)

YES

b)

NO

c)

KINDA

17.

a)

2/5

b)

5/6

c)

4/6

d)

1/5

18.

4.36+57.98=

(a)

19.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

20.

$\frac{b}{5}\ =4$

a)

b = 9

b)

b = 1

c)

b = 20

d)

b = 15

21.

q+2=7

a)

q = 9

b)

q = 5

c)

q = 14

d)

q = 11

22.

In a distance problem if both numbers are negative

a)

add

b)

subtract

c)

positive

d)

negative

e)

take sign of number with greater absolute value

23.

4 x 5 - 2 + 4

a)

14

b)

16

c)

22

d)

28

24.

8 x 3 - 10 =

a)

14

b)

-54

c)

20

d)

12

25.

Explain the error(s).

a)

-1.2 isn't an integer.

b)

-2 isn't a whole number and 3.4 isn't a rational number.

c)

-2 isn't a whole number and -1.2 isn't an integer.

d)

The numbers are graphed correctly.

26.

62/3 - 5/8

a)

20.04

b)

36.2

c)

12

d)

18

27.

3/4 / 1/2=

a)

2.1

b)

1.5

c)

1.75

d)

0.25

28.

-7 x 6

(a)

29.

0.5(0.5)

a)

2.5

b)

0.25

c)

25

d)

pineapples

30.

$-\frac{6}{7}\left(-\frac{8}{9}\right)$

a)

$\frac{16}{21}$

b)

$-\frac{16}{21}$

c)

$\frac{48}{7}$

d)

$-\frac{48}{7}$

31.

-12.5(-2.4)

a)

26.8

b)

-30

c)

30

d)

-26.8

32.

Multiply and simplify if possible.

a)

⅝

b)

¼

c)

2 ⅓

d)

⅘

33.

$-\frac{2}{7}\left(\frac{3}{5}\right)$

a)

$-\frac{10}{21}$

b)

$\frac{10}{21}$

c)

$\frac{6}{35}$

d)

$-\frac{6}{35}$

34.

-17.33(0.44)

a)

7.6252

b)

34.1340

c)

-34.1340

d)

-7.6252

35.

-7 x 9 = ?

a)

63

b)

-56

c)

-56

d)

-63

36.

$-\frac{7}{8}\times\frac{1}{9}\ =\ ?$

a)

$\frac{7}{64}$

b)

$-\frac{7}{72}$

c)

$\frac{7}{72}$

d)

$-\frac{7}{64}$

37.

Is (-5) x (-9) negative or positive?

a)

Negative

b)

Positive

38.

In multiplication both factors are positive

a)

always positive

b)

always negative

39.

What is the difference of these fractions in lowest terms?

a)

7/9

b)

1/5

c)

12/20

d)

1/20

40.

The answer to this expression is ... $-\frac{2}{7}\ +\ 4\ \frac{1}{2}$

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

d)

All of the above.

41.

Perform the indicated operation.

1/8 + 3/8

Simplify answer.

(a)

42.

When multiplying fractions, a common denominator is required.

a)

TRUE

b)

FALSE

43.

John is a fruit vendor. He has 2/3 of a bushel of apples and he wants to divide it equally among his 5/6 of a bushel of oranges. What will be the quotient of apples to oranges if he does so?

Reduce, or simplify the answer.

Consider the following options and choose the correct one:

a)

12 / 15

b)

5 / 9

c)

4 / 5

d)

-1 / 6

44.

Perform the indicated operation.

(4/5) ÷ (5/6)

Write answer in lowest terms.

a)

24 / 25

b)

4 / 6

c)

2 / 3

d)

24 / 5

45.

A group of friends decided to share a pizza. The pizza was cut into 6 equal slices. One friend ate 1/6 of the pizza and another friend ate 2/3 of the pizza. If the amount of pizza eaten by each friend is represented by a fraction, what is the product of the fractions representing the amount of pizza eaten by the two friends? Simplify your answer.

a)

1 / 4

b)

9

c)

1 / 9

d)

3 / 12

Operation of Rational Numbers

Total questions: 45

Worksheet time: 41mins

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