Worksheet Question and Answers : Integers Class 7 Worksheet Maths

Answer 1: 

(a) 10
Solution: 
30/10 = 3

(b) –1

Solution:
 – 89 ÷ -1 = 89

(c) –205

Solution:
When a number is divided by 1, the quotient is the number itself.

(d) –10

Solution: 
let blank be X 

X x(-12)=120

X=120/-12

X=-120/12

X=-10
= -10

(e)   12

Solution: 
24+12 ÷ 4-5×3

=24+3-5×3

=24+3-15

=27-15

=12

Ans 2: P = –15

Solution:

• p× (-9) = 135 is given.
• We have to find the value of p.

We can simply find the value of p by solving the linear equation by transposing the terms.

                    p× (-9) = 135

              Transposing -9 from LHS to RHS, we get

                            p  = 135/ (-9)

           Simplifying 135/(-9), we get

                           p  = -15

∴ The value of p is (-15).

Hence, the value of p if  p× (-9) = 135 is (-15).

Ans 3: 0
Solution: The additive inverse of a number is an integer that gives 0 as the sum when added. 
E.g. - Let the required number be 3.
Then its additive inverse is -3.
since, -3 + 3 = 0

The additive inverse of 0 would be 0.
As, 0 + 0 = 0.

Ans 4: 

(a)         -              (v)
(b)         -             (iii)
(c)         -              (i)
(d)         -           (ii)
(e)         -           (iv)

Ans: >

Sol:  We work from left to right:

25 - 40 + 10

25 - 40 = -15 , So now we have -15 + 10

-15 + 10 = -5

Solving, 25 – 40 – 10

We work from left to right:

25 - 40 = -15

So now we have -15 - 10 = - 25

-5 > - 25

Ans: <

Sol: 
(–9) + (–6) = -15
(–9) – (–6) = -3
-15< -3

Ans: =

Sol: We work from left to right:

35 + (–70) = - 35
So,  - 35 - (-35) = 0
Solving, (–24) – (15) + 39
 (–24) – (15)= -39
-39+ 39 = 0

Ans6: 
(a) –120
Sol: 

 -1×(-2)×(-3)×(-4)×(-5)

= -2×(-12)×(-5)

= -24×(-5)

= -120

(b) –79500

Sol: 795×(-25)+(-795)×75

= -19875+(-59625)

= -19875-59625

= -79500

(c) 1180

Sol: -59×(-19)+59

= 1121+59

= 1180

Ans7.   30 min.
Sol:

Total distance to be travelled = 5 m + 205 m = 210 m

Speed of descent = 7 m / min

Total Time = Distance / Speed

= 210 m / (7 m/min)

= 30 min

Ans8: 

Ans9:    –2099
Sol: Let the number be X
the other number = 599
599 + X = 1500
X = 1500 - 599 

X = 901  

Ans 10: (a) True
(b) True
(c) True

Ans 11:   –8

Sol: 

Let the number be X

X * 20=-160

X =-160/20

X=-8

Ans 12:   25
Sol:
Let the integer be "a"
According to question,
(-12) × a = - 300
a = - 300 / - 12
a = 300 /12
a = 25
Required number = 25

Ans 13:   ₹ 450
Sol:
Total Amount = 1000
Rupees given for help = 550
Remaining balance of Pallavi= 1000-550 = 450 

Ans 14:   7

Sol: If the monkey could jump 3m once then he would have to jump 7 times to reach at top of the building as 7*3 = 21

Sol: These questions can be easily solved using the number line.

a) There can be many solutions, one solution will be 7 and -7. They both are less 10 and difference is 14
Other solution could be -11 and 3.They both are less 10 and difference is 14
b) There can be many solutions, one solution will be -14 and -8.
Other solution could be -13 and -7.
c) This one will have unique solution. The number will be -9 and 9. Both are opposites and distance between them is 18
d) There can two solutions, one solution will be -55 and another one is -15
e) There can be one solution only. the solution is 17 and 8.

Ans16: