NCERT Solutions Ganita Prakash (Part 1) Chapter 2 – 35Section 2.2 More Expressions and Their Terms — Figure it Out

Book page 34 Updated on2026-09-05

Q1.

Find the values of the following expressions by writing the terms in each case. (a) 28 – 7 + 8 (b) 39 – 2 × 6 + 11 (c) 40 – 10 + 10 + 10 (d) 48 – 10 × 2 + 16 ÷ 2 (e) 6 × 3 – 4 × 8 × 5

Answer

First write each expression as a sum of terms, evaluate each term, then add.

	As a sum of terms	Terms	Value
(a)	28 + (–7) + 8	28, –7, 8	29
(b)	39 + (–2 × 6) + 11	39, –2 × 6, 11	38
(c)	40 + (–10) + 10 + 10	40, –10, 10, 10	50
(d)	48 + (–10 × 2) + (16 ÷ 2)	48, –10 × 2, 16 ÷ 2	36
(e)	(6 × 3) + (–4 × 8 × 5)	6 × 3, –4 × 8 × 5	–142

(a) 28 – 7 + 8 = 28 + (–7) + 8 = 21 + 8 = 29

(b) –2 × 6 = –12, so 39 + (–12) + 11 = 27 + 11 = 38

(c) 40 + (–10) + 10 + 10 = 30 + 10 + 10 = 50

(d) –10 × 2 = –20 and 16 ÷ 2 = 8, so 48 + (–20) + 8 = 28 + 8 = 36

(e) 6 × 3 = 18 and 4 × 8 × 5 = 160, so 18 + (–160) = –142

Why it happens: A × or ÷ chain has no ‘+’ inside it, so it stays as one term. That is why in (b) we do 2 × 6 before adding, and in (e) the whole product 4 × 8 × 5 carries the minus sign.

Tip: In (c) do not read “40 – 10 + 10 + 10” as 40 – 30. The minus belongs only to the first 10.

Q2.

Write a story/situation for each of the following expressions and find their values. (a) 89 + 21 – 10 (b) 5 × 12 – 6 (c) 4 × 9 + 2 × 6

Answer

(a) 89 + 21 – 10

Story: A school library had 89 books on its shelves. The librarian bought 21 new books. Later, 10 books were issued to students. How many books are left on the shelves?

89 + 21 + (–10) = 110 – 10 = 100 books

(b) 5 × 12 – 6

Story: Ravi buys 5 boxes of mangoes with 12 mangoes in each box. On the way home 6 mangoes get spoilt. How many good mangoes does he have?

(5 × 12) + (–6) = 60 – 6 = 54 mangoes

(c) 4 × 9 + 2 × 6

Story: In a rangoli, Meena uses 4 rows of 9 yellow dots and 2 rows of 6 red dots. How many dots are there in all?

(4 × 9) + (2 × 6) = 36 + 12 = 48 dots

Why it happens: A good story must match the terms. In (b) the term 5 × 12 is “5 boxes of 12” and the term –6 is “6 lost”. If the story were “each box loses 6 mangoes”, the expression would be 5 × (12 – 6) instead.

Q3.

For each of the following situations, write the expression describing the situation, identify its terms and find the value of the expression. (a) Queen Alia gave 100 gold coins to Princess Elsa and 100 gold coins to Princess Anna last year. Princess Elsa used the coins to start a business and doubled her coins. Princess Anna bought jewellery and has only half of the coins left. Write an expression describing how many gold coins Princess Elsa and Princess Anna together have. (b) A metro train ticket between two stations is ₹40 for an adult and ₹20 for a child. What is the total cost of tickets: (i) for four adults and three children? (ii) for two groups having three adults each? (c) Find the total height of the window by writing an expression describing the relationship among the measurements shown in the picture.

Answer

(a) The two princesses

Elsa doubled her 100 coins → 2 × 100
Anna has half of her 100 coins → 100 ⁄ 2

Expression = 2 × 100 + 100 ⁄ 2
Terms: 2 × 100 and 100 ⁄ 2
Value = 200 + 50 = 250 gold coins

(b) Metro tickets

(i) Four adults and three children
Expression = 4 × 40 + 3 × 20
Terms: 4 × 40 and 3 × 20
Value = 160 + 60 = ₹220

(ii) Two groups of three adults each
Expression = 2 × (3 × 40)
Term: 2 × (3 × 40) — a single term
Value = 2 × 120 = ₹240

(c) Height of the window

Reading the picture: the window has a border of 3 cm at the top and 3 cm at the bottom, 6 grill bars each 2 cm thick, and 7 gaps each 5 cm tall (one above the first bar, one below the last bar and one between every two bars).

Expression = 7 × 5 + 6 × 2 + 2 × 3
Terms: 7 × 5, 6 × 2, 2 × 3
Value = 35 + 12 + 6 = 53 cm

The window as 2 borders (3 cm each), 6 grill bars (2 cm each) and 7 gaps (5 cm each).

Why it happens: Count carefully before writing the expression. With 6 bars there are always 7 gaps — one more gap than the number of bars — because a gap sits above the first bar and below the last one.

Check it yourself: Add the pieces one by one: 3 + 5 + 2 + 5 + 2 + 5 + 2 + 5 + 2 + 5 + 2 + 5 + 2 + 5 + 3 = 53 cm ✓

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