a. Write a positive integer and a negative integer whose sum is a negative integer
b. Write a positive integer and a negative integer whose sum is a positive integer
c. Write a positive integer and a negative integer whose difference is a negative integer
d. Write a positive integer and a negative integer whose difference is a positive integer
e. Write two integers which are smaller than -5 but their difference is -5
f. Write two integers which are greater than -10 but their sum is smaller than -10
g. Write two integers which are greater than -4 but their difference is smaller than -4
h. Write two integers which are smaller than -6 but their difference is greater than -6
i. Write two negative integers whose difference is 7
j. Write two integers such that one is smaller than -11, and other is greater than -11 but their difference is -11
k. Write two integers whose product is smaller than both the integers
l. Write two integers whose product is greater than both the integers

Solution:

To answer the given questions let us examine the problem deeply using the properties of integers.

1. Let a positive integer be 2 and a negative integer be -4, on adding we get 2 + (-4) = -2 which is a negative integer.
2. Let a positive integer be 4 and a negative integer be -3, on adding we get 4 + (- 3) = 1 which is a positive integer.
3. Let a positive integer be 1 and a negative integer be -4, on subtracting we get -4 - 1 = -5 which is a negative integer.
4. Let a positive integer be 4 and a negative integer be -1, on subtracting we get 4 - (-1) = 5 which is a positive integer.
5. Let the integers be -7 and -12 both are smaller than -5, on subtracting we get -12 - (-7) = -5 as the difference.
6. Let the integers be -5 and -6 both are greater than -10, on adding we get -5 + (-6) = -11 as the sum.
7. Let the integers be 2 and -3 both are greater than -4, on subtracting we get -3 - 2 = -5 is smaller than -4.
8. Let the integers be -7 and -8 both are smaller than -6, on subtracting we get -7 - (-8) = 1 is greater than -6.
9. Let the integers be -2 and -9, on subtracting we get -2 + (9) = 7.
10. Let the integers be -18 and -7, on subtracting we get -18 - (-7) = -11
11. Let the integers be -1 and 2, on multiplying we get -1 × (2) = -2 the product is smaller than -1 and 2.
12. Let the integers be 2 and 3, on multiplying we get 2 × 3 = 6, the product is greater than 2 and 3.

✦ Try This: Fill in the blank: b. -179 × 236 = -___

Now to fill the given blank we can apply integer rules and the rule of multiplication

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 119

a.Write a positive integer and a negative integer whose sum is a negative integer, b. Write a positive integer and a negative integer whose sum is a positive integer, c. Write a positive integer and a negative integer whose difference is a negative integer, d. Write a positive integer and a negative integer whose difference is a positive integer, e. Write two integers which are smaller than -5 but their difference is -5, f. Write two integers which are greater than -10 but their sum is smaller than -10, g. Write two integers which are greater than -4 but their difference is smaller than -4, h. Write two integers which are smaller than -6 but their difference is greater than -6, i. Write two negative integers whose difference is 7, j. Write two integers such that one is smaller than -11, and other is greater than -11 but their difference is -11, k. Write two integers whose product is smaller than both the integers, l. Write two integers whose product is greater than both the integers

Summary:

After applying the integer rules we examined that the following parts can be answered in the above given respective manner

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