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operation on integers

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Which of the following statements is/are FALSE?

I. The sum of two positive integers is also a positive integer. II. The sum of two negative integers is also a negative integer. III. The sum of opposite integers is zero. IV. The sum of a positive and a negative integer is always negative.

a)

I, II and III

b)

III and IV

c)

IV only

d)

III only

2.

  In the Mathematics assignment about addition of integers, Jacob got a demerit point for committing a mistake in his solution. Which part of his solution is incorrect?  8+10+2+1-8+10+-2+1      Step 1:=(8+2)+(10+1)Step\ 1:=\left(-8+-2\right)+\left(10+1\right)  
   Step 2: =(8+2)+(10+1)Step\ 2:\ =-\left(\left|-8\right|+\left|-2\right|\right)+\left(\left|10\right|+\left|1\right|\right)  

 Step 3: =10+11Step\ 3:\ =-10+11 
 Step 4: =(1110)Step\ 4:\ =\left(\left|11\right|-\left|-10\right|\right)    Final Answer=1Final\ Answer=-1  

a)

 Step 1 

b)

Step 2 

c)

 Step 3 

d)

 Step 4

3.

 Hiw should the expression 12(8)be written in addition statement?Hiw\ should\ the\ \exp ression\ -12-\left(-8\right)be\ written\ in\ addition\ statement?  

a)

 12+(8)-12+\left(-8\right)  

b)

 12+8-12+8  

c)

 12(8)12-\left(-8\right)  

d)

 12812-8  

4.

 What is the resulting integer when 6is subtracted from the sum of 3 and 5?What\ is\ the\ resulting\ integer\ when\ -6is\ subtracted\ from\ the\ sum\ of\ -3\ and\ 5?  

a)

8

b)

14

c)

2

d)

-4

5.

A frog is at the bottom of a 10 feet well. Each day it crawls up 4 feet. At night, it slips back 2 feet. In how many days will the frog get out of the well?

a)

Day 5

b)

Day 4

c)

Day 6

d)

Day 8

6.

A teacher called four of her students to give the product of the expression(-1)(-2)(-3)(-4)(-5) . Who among them gave the correct answer?

a)

Peter

b)

Simon

c)

John

d)

Pablo

7.

Which among the following square tiles is the proper illustration of the expression 53 ? Note that the shaded tile represents 1 , while the unshaded tile pertains to 1.

a)
b)
c)
d)
8.

Which of the following expressions has the same quotient as 

 12÷3?12\div-3?  

a)

 12÷(3)-12\div\left(-3\right)  

b)

 12÷3-12\div3  

c)

 12÷312\div3  

d)

 123-\frac{12}{-3}  

9.

What must be the sign of the quotient in the given expression

 (1)(2)(3)(4)(1)(2)(3)?\frac{\left(-1\right)\left(-2\right)\left(-3\right)\left(-4\right)}{\left(1\right)\left(2\right)\left(3\right)}?  

a)

 positive 

b)

 neither positive nor negative 

c)

 negative 

d)

 both positive and negative 

10.

What must be the average temperature when the temperature readings for one day in a European town are as follows:

a)

4°c4\degree c

b)

2°c2\degree c

c)

12°c12\degree c

d)

6°c6\degree c