NCERT Solutions Ganita Prakash (Part 1) Chapter 2 In-text Questions — More Expressions and Their Terms

Book page 32 Updated on2026-09-05

Q1.

If the total number of friends goes up to 7 and the tip remains the same, how much will they have to pay? Write an expression for this situation and identify its terms.

Answer

Seven friends order one dosa each at ₹23, and the tip stays ₹5.

Expression = 7 × 23 + 5

As a sum of terms: (7 × 23) + (5)
= 161 + 5
= ₹166

Terms: 7 × 23 and 5 — two terms.

Why it happens: 7 × 23 has no ‘+’ inside it, so the whole product is a single term. Evaluating each term first and then adding gives 161 + 5 = 166. Writing 7 × (23 + 5) would be wrong — that would mean paying a ₹5 tip to each of the seven friends’ dosas.

Check it yourself: 7 × (23 + 5) = 7 × 28 = ₹196, which is ₹30 too much.

Q2.

Think and discuss why she wrote this. (Ruby wrote 6 × 5 + 3 when the teacher called out ‘5’.)

Answer

There were 33 students playing. When the teacher called out ‘5’, the children formed groups of 5.

33 = 6 groups of 5, with 3 children left over
6 × 5 = 30 children in complete groups
3 children could not join any group
Expression = 6 × 5 + 3 = 30 + 3 = 33

The terms are 6 × 5 and 3.

Why it happens: Ruby is describing the picture, not just the total. The term 6 × 5 records how many complete groups formed, and the term 3 records the children who were out. “6 × 5 + 3” is read as “3 more than 6 × 5”.

Tip: This is exactly division with remainder: 33 ÷ 5 gives quotient 6 and remainder 3, so 33 = 6 × 5 + 3.

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