R s aggarwal mathematics class 7 Solutions for Chapter 1 integers

Exercises in Chapter 1 integers Grade 7

Integers Exercise 1A

Integers Exercise 1B

Integers Exercise 1C

Integers Exercise 1D

Questions in Integers Exercise 1A

iv. (-32)+47

v. 53+(-26)

iii. (-7)+(-23)

ii. (-16)+9

vi. (-48)+(-36)

Evaluate

i. 15+(-8)

-238 and 500

Find the sum of

i. 153 and -302

ii. 1005 and -277

iv. -489 and -324

-1000 and 438

iii. -2035 and 297

Find the additive inverse of:

i. -83

Find the additive inverse of:

ii. 256

Find the additive inverse of:

iii. 0

Solution:-

(∵ Additive inverse of zero is itself only)

Find the additive inverse of:

-2001

Subtract:

-37 from -53

Subtract:

-64 from 0

Subtract:

-66 from -34

Subtract:

318 from 0

Subtract:

-56 from 144

Subtract:

-36 from 42

Subtract:

28 from -42

Subtract:

-153 from -240

Subtract the sum of -1032 and 878 from -34

Subtract -134 from the sum of 38 and -87

Fill in the blanks:

{(-13)+27}+ (-41) = (-13) + {27+ (. . . . .)}

Fill in the blanks:

(-26)+{(-49)+(-83)}={(-26)+(-49)}+(. . . . .)

Fill in the blanks:

– (-83) =. . . . . .

Fill in the blanks:

(-68)+ (-76) = (. . . .)+(-68)

Fill in the blanks:

53+ (-37) = (-37) + (. . . . .)

Fill in the blanks:

(-72) + (. . . . ) = -72

Fill in the blanks:

(-31) + (. . . . .) = -40

Fill in the blanks:

(-60)-(. . . . . .) = -59

Simplify: {-13 –(-27)}+ {-25-(-40)}

Find 36-(-64) and (-64)-36. Are they equal

If a = -8, b = -7, c = 6, verify that (a+b) + c = a+ (b+c)

If a=-9 and b=-6, show that (a-b)≠ (b-a)

The sum of two integers is -16. If one of them is 53, find the other.

The sum of two integers is 65. If one of them is -31, find the other

The difference of an integer a and (-6) is 4. Find the value of a.

Write a pair of integers whose sum gives

i. Zero:

ii. A negative integer:

iii. An integer smaller than both integers:

iv. An integer greater than both integers:

v. An integer is smaller than only one of the integers.

For the following statement, write (T) for true and (F) for false:

-10 is greater than -7.

In negative integer as the number increase it becomes farther from the zero, and smaller than the lesser numbers.

For the following statement, write (T) for true and (F) for false:

The sum of two negative integers is a negative integer.

For the following statement, write (T) for true and (F) for false:

Zero is larger than every negative integer.

For the following statement, write (T) for true and (F) for false:

The sum of a negative integer and a positive integer is always a positive integer.

For the following statement, Write (T) for true and (F) for false:

The smallest integer is zero.

Questions in Integers Exercise 1B

Multiply:

-35 by 0

Multiply:

– 28 by 14

Multiply:

36 by -11

Multiply:

-105 by -8

Multiply:

– 53 by 18

Multiply:

18 by -6

Multiply:

-16 by -12

Multiply:

0 by -23

Multiply:

16 by 9

Multiply:

-36 by -50

Multiply:

-28 by -1

Multiply:

25 by -11

3× ? × (−?)

(-6) × 6 × (-10)

7×(-8) ×3

(-7) ×(-3) ×4

? × (−?) × (−?)

(-5) ×(-8) ×(-3)

(-6) ×(-5) ×(-7) ×(-2) ×(-3)

(-4) ×(-5) ×(-8) ×(-10)

(-60) ×(-10) ×(-5) ×(-1)

(-3) ×(-3) ×(-3) × … 6 times

(-1) ×(-1) ×(-1) × … 200 times

(-1) ×(-1) ×(-1) × … 171 times

(-5) ×(-5) ×(-5) … 5 times

What will be the sign of the product, if we multiply 90 negative integers and 9 positives integers?

What will be the sign of the product, if we multiply 103 negative integers and 65 positives integers?

(-16) × (-15) + (-16) × (-5)

10 × (-12) + 5 × (-12)

(-8) ×9 + (-8) ×7

20 × (-16) + 20 × 14

(-16) × (-8) + (-4) × (-8)

(-11) × (-15)+ (-11) ×(-25)

(-26) × 72 + (-26) × 28

9 × (-13) +9 × (-7)

Fill in the blank:

(-5) × (…) = 0

Fill in the blank:

{(-5) ×3}× (-6) = (….) × {3× (-6)}

Fill in the blank:

( -6) × (…..) = 6

Fill in the blank:

(-8) × (-9) = (-9) × (….)

Fill in the blank:

7× (-3) = (-3) × (…..)

Fill in the blank:

(-18) × (….) = (-18)

In a class test containing 10 questions, 5 marks are awarded for every correct answer, and (-2) marks are awarded for every incorrect answer and 0 for each question not attempted.

i. Ravi gets 4 correct and 6 incorrect answers. What is his score?

ii. Reenu gets 5 correct and 5 incorrect answers. What is her score?

iii. Heena gets 2 correct and 5 incorrect answers. What is her score?