Question 2 - Figure it out (Page 41, 42) - Chapter 2 Class 7 - Arithmetic Expressions (Ganita Prakash)

Transcript

Question 2 In the boxes below, fill ‘<’, ‘>’ or ‘=’ after analysing the expressions on the LHS and RHS. Use reasoning and understanding of terms and brackets to figure this out and not by evaluating the expressions. (a) (8 – 3) × 29 (3 – 8) × 29 Now, (8 – 3) × 29 = 5 × 29 (3 – 8) × 29 = –5 × 29 Since Positive > negative Answer is (8 – 3) × 29 > (3 – 8) × 29 Question 2 In the boxes below, fill ‘<’, ‘>’ or ‘=’ after analysing the expressions on the LHS and RHS. Use reasoning and understanding of terms and brackets to figure this out and not by evaluating the expressions. (b) 15 + 9 × 18 (15 + 9) × 18Now, 15 + 9 × 18 (15 + 9) × 18 = 24 × 18 Since 9 × 18 + 15 < 24 × 18 Answer is 15 + 9 × 18 < (15 + 9) × 18 Question 2 In the boxes below, fill ‘<’, ‘>’ or ‘=’ after analysing the expressions on the LHS and RHS. Use reasoning and understanding of terms and brackets to figure this out and not by evaluating the expressions. (c) 23 × (17 – 9) 23 × 17 + 23 × 9Now, 23 × (17 – 9) = 23 × 8 23 × 17 + 23 × 9 = 23 × (17 + 9) = 23 × 26 Since 23 × 8 < 23 × 26 Answer is 23 × (17 – 9) < 23 × 17 + 23 × 9 Question 2 In the boxes below, fill ‘<’, ‘>’ or ‘=’ after analysing the expressions on the LHS and RHS. Use reasoning and understanding of terms and brackets to figure this out and not by evaluating the expressions. (d) (34 – 28) × 42 34 × 42 – 28 × 42Now, (34 – 28) × 42 = 6 × 42 34 × 42 – 28 × 42 = (34 – 28) × 42 = 6 × 42 So both values are the same Answer is (34 – 28) × 42 = 34 × 42 – 28 × 42