Scroll:Operations >> Order of operations with rational numbers >> saq (4119)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Evaluate:

- 0.9 ÷ 81 – 88.7 =  

 

 


Answer:_______________




2)  

Evaluate.

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

 

12  x  -6  x  -6  =  



Answer:_______________




3)  

 Evaluate:

 16 ÷ 0.8 – 87.8  =

 

 


Answer:_______________




4)  

 Evaluate:

 -7 x -2 – 0.3  =

 

 


Answer:_______________




5)  

 Evaluate:

2.73 × 0.5 + 88.38  


Answer:_______________




6)  

 Evaluate:

5 – 0.68 × 4.8  =  


Answer:_______________




7)  

 Evaluate:

- 0.9 ÷ 63 – 39.8 =  

 

 


Answer:_______________




8)  

Evaluate.

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

 

12  x  -7  x  -8  =  



Answer:_______________




9)  

 Evaluate:

 36 ÷ 0.9 – 49.5  =

 

 


Answer:_______________




10)  

 Evaluate:

 -8 x -9 – 0.6  =

 

 


Answer:_______________




 

1)  

 Evaluate:

- 0.9 ÷ 81 – 88.7 =   Answer: 88.711

 

 


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

- 0.9 ÷ 81 – 88.7

- 0.011 – 88.7

 

Step 2: Add and subtract from left to right.

- 0.011 – 88.7

- 88.711

So:

- 0.9 ÷ 81 – 88.7 = - 88.711


 



2)  

Evaluate.

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

 

12  x  -6  x  -6  =   Answer: 18


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Solve:

Step 1: Multiply and divide from left to right.

12  x  -6  x  -6

-62  x  -6

-62  x   -61        Convert to improper fractions

-61  x   -31       Cancel common factors

 18

Step 2: Add and subtract from left to right.

There are no addition or subtraction signs.


You are finished evaluating the expression.

So:

12  x  -6  x  -6  =  18
 



3)  

 Evaluate:

 16 ÷ 0.8 – 87.8  = Answer: -67.8

 

 


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

16 ÷ 0.8 – 87.8

 20 – 87.8

 

Step 2: Add and subtract from left to right.

 20 – 87.8

 -67.8

So:

 16 ÷ 0.8 – 87.8 =  -67.8


 



4)  

 Evaluate:

 -7 x -2 – 0.3  = Answer: 13.7

 

 


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

-7 x -2 – 0.3

 14 – 0.3

 

Step 2: Add and subtract from left to right.

 14 – 0.3

 13.7

So:

 -7 x -2 – 0.3 =  13.7


 



5)  

 Evaluate:

2.73 × 0.5 + 88.38  

Answer: 89.75


SOLUTION 1 :

Remember:

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1:

Multiply and divide from left to right.

2.73 × 0.5 + 88.38

1.37 + 88.38

 

Step 2:

Add and subtract from left to right.

1.37 + 88.38

89.75

So:

2.73 × 0.5 + 88.38 = 89.75
 



6)  

 Evaluate:

5 – 0.68 × 4.8  =   Answer: 1.74


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.


6 – 0.68 × 4.8

6 – 3.26

 

Step 2: Add and subtract from left to right.

5 – 3.26

1.74

So:

5 – 0.68 × 4.8  =  1.74



7)  

 Evaluate:

- 0.9 ÷ 63 – 39.8 =   Answer: 39.814

 

 


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

- 0.9 ÷ 63 – 39.8

- 0.014 – 39.8

 

Step 2: Add and subtract from left to right.

- 0.014 – 39.8

- 39.814

So:

- 0.9 ÷ 63 – 39.8 = - 39.814


 



8)  

Evaluate.

Simplify your answer and write it as a proper fraction or as a whole or mixed number.

 

12  x  -7  x  -8  =   Answer: 28


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Solve:

Step 1: Multiply and divide from left to right.

12  x  -7  x  -8

-72  x  -8

-72  x   -81        Convert to improper fractions

-71  x   -41       Cancel common factors

 28

Step 2: Add and subtract from left to right.

There are no addition or subtraction signs.


You are finished evaluating the expression.

So:

12  x  -7  x  -8  =  28
 



9)  

 Evaluate:

 36 ÷ 0.9 – 49.5  = Answer: -9.5

 

 


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

36 ÷ 0.9 – 49.5

 40 – 49.5

 

Step 2: Add and subtract from left to right.

 40 – 49.5

 -9.5

So:

 36 ÷ 0.9 – 49.5 =  -9.5


 



10)  

 Evaluate:

 -8 x -9 – 0.6  = Answer: 71.4

 

 


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

-8 x -9 – 0.6

 72 – 0.6

 

Step 2: Add and subtract from left to right.

 72 – 0.6

 71.4

So:

 -8 x -9 – 0.6 =  71.4