Match the following:
Column I Column II
a × 1 (i) Additive inverse of a
1 (ii) Additive identity
( – a) ÷ ( – b) (iii) Multiplicative identity
a × ( – 1) (iv) a ÷ ( – b)
a × 0 (v) a ÷ b
( –a) ÷ b (vi) a
0 (vii) – a
a ÷ (–a) (viii) 0
–a (ix) –1

Solution:

1. a × 1 option of column I matched with the option (vi) a of column II.
2. 1 option of column I matched with the option (iii) Multiplicative identity of column II.
3. (-a) ÷ (-b) option of column I matched with the option (v) a ÷ b of column II.
4. a × (-1) option of column I matched with the option (vii) -a of column II.
5. a × 0 option of column I matched with the option (viii) 0 of column II.
6. (-a) ÷ b option of column I matched with the option (iv) a ÷ (-b) of column II.
7. 0 option of column I matched with the option (ii) Additive identity of column II.
8. a ÷ (-a) option of column I matched with the option (ix) -1 of column II.
9. -a option of column I matched with the option (i) Additive inverse of a, of column II.

✦ Try This: Fill in the blank: -18 + (-13) = ____.

Now to fill the given blank we can apply integer rules and the order of operations.

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

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 117

Match the following: a × 1 (i) Additive inverse of a, 1  (ii) Additive identity, ( – a) ÷ ( – b)  (iii) Multiplicative identity, a × ( – 1) (iv) a ÷ ( – b), a × 0 (v) a ÷ b, ( –a) ÷ b (vi) a, 0 (vii) – a, a ÷ (–a) (viii) 0, –a (ix) –1

Summary:

After applying the integer rules we examined that the following parts can be matched in the respective manner. a → vi, b → iii, c → v, d → vii, e → viii, f → iv, g → ii, h → ix, i → i.

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