NCERT Solutions Ganita Prakash (Part 1) Chapter 2 Figure it Out — Comparing Expressions

Book page 25 Updated on2026-09-05

Q1.
Fill in the blanks to make the expressions equal on both sides of the = sign: (a) 13 + 4 = ____ + 6 (b) 22 + ____ = 6 × 5 (c) 8 × ____ = 64 ÷ 2 (d) 34 – ____ = 25
Answer

Find the value of the side that is complete, then work backwards on the other side.

(a) 13 + 4 = 17, so ___ + 6 = 17 → ___ = 17 – 6 = 11
13 + 4 = 11 + 6

(b) 6 × 5 = 30, so 22 + ___ = 30 → ___ = 30 – 22 = 8
22 + 8 = 6 × 5

(c) 64 ÷ 2 = 32, so 8 × ___ = 32 → ___ = 32 ÷ 8 = 4
8 × 4 = 64 ÷ 2

(d) 34 – ___ = 25 → ___ = 34 – 25 = 9
34 – 9 = 25
Why it happens: The ‘=’ sign does not mean “write the answer here”. It means both sides have the same value. So we first find the value of the complete side and then choose the missing number that gives that same value.
Check it yourself: Put your answers back in — 11 + 6 = 17 ✓, 22 + 8 = 30 ✓, 8 × 4 = 32 ✓, 34 – 9 = 25 ✓.
Q2.
Arrange the following expressions in ascending (increasing) order of their values. (a) 67 – 19 (b) 67 – 20 (c) 35 + 25 (d) 5 × 11 (e) 120 ÷ 3
Answer

First find each value.

ExpressionWorkingValue
(a) 67 – 1967 – 1948
(b) 67 – 2067 – 2047
(c) 35 + 2535 + 2560
(d) 5 × 115 × 1155
(e) 120 ÷ 3120 ÷ 340

Now put the values in increasing order: 40 < 47 < 48 < 55 < 60.

120 ÷ 3 < 67 – 20 < 67 – 19 < 5 × 11 < 35 + 25
that is, (e) < (b) < (a) < (d) < (c)
Why it happens: Expressions are ordered by their values, not by how they look. Notice (a) and (b) start from the same 67; taking away 20 leaves less than taking away 19, so 67 – 20 comes first.
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