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Name Master 2.23a Date Extra Practice Sample Answers Extra Practice 1 – Master 2.18 Lesson 2.1 1. a) –12 b) Adding a number 4 times is the same as 4 times the number. 2. a) +12 4. (+5) × (–2) = –10; the ice melted 10 cm after 5 days. 5. a) (+2) × (–30) = –60; Aliya is 60 cm below her previous elevation. b) (–3) × (–30) = 90; Aliya was 90 cm above her current elevation. Extra Practice 2 – Master 2.19 Lesson 2.2 b) –42 c) –15 d) +24 1. a) +4; 0; –4; –8; (+4) × (–3) = –12 (+4) × (–4) = –16 (+4) × (–5) = –20 b) +5; 0; –5; –10; (–3) × (+5) = –15 (–4) × (+5) = –20 (–5) × (+5) = –25 2. a) The product of two integers is positive when the integers have the same sign. b) The product of two integers is negative when the integers have opposite signs. 3. a) –18 b) +12 c) –14 d) –12 e) –1 f) +25 4. a) +330 b) –860 c) +918 d) –682 e) –1206 f) 1612 5. a) +3 and +6; the greatest product will be a product of two numbers with the same sign and largest size. So, it will be (+3) × (+6) = +18 or (–2) × (– 8) = +16. b) +6 and –8; the least product will be a product of two numbers with opposite signs and largest size. So, it will be (+6) × (–8) = –48. 3. a) +16 b) –12 c) –36 d) +18 The right to reproduce or modify this page is restricted to purchasing schools. This page may have been modified from its original. Copyright © 2008 Pearson Education Canada Name Master 2.23b Date Extra Practice Sample Answers continued Extra Practice 3 – Master 2.20 Lesson 2.3 1. a) +5 b) –3 c) –8 d) +5 2. a) The quotient of two integers is positive when the integers have the same sign. b) The quotient of two integers is negative when the integers have opposite signs. 3. a) +10 b) –8 c) –8 d) +7 e) 0 f) +1 4. a) –5 b) +3 c) –3 d) 0 e) +1 f) –4 –5, –4, –3, 0, +1, +3 5. –2°C Extra Practice 5 – Master 2.22 Lesson 2.5 2. a) +9 b) –4 c) –1 d) +3 3. 6 m 4. The stock drops an average of 6 points per day. Extra Practice 4 – Master 2.21 Lesson 2.4 1. a) –8 +4 –15 –3 +6 –2 +18 +3 b) The rules are similar. The sign of the product of two integers with the same sign is positive and the sign of the quotient of two integers with the same sign is positive. The sign of the product of two integers with opposite signs is negative and the sign of the quotient of two integers with opposite signs is negative. 1. a) b) c) d) 2. a) 36; Multiplication –20; Addition inside brackets –2; Subtraction inside brackets 4; Division 4(–8) – 9 = –32 – 9 = –41 b) (–1) + (–20) ÷ 5 = (–1) + (–4) = –5 c) (–9) + (–4)(–2) = (–9) + 8 = –1 d) (–3)[(–8) – 11] = (–3)(–19) = 57 3. a) –7 b) –2 c) 1 d) –6 4. a) –20 b) –1 c) 3 d) –8 5. a) –11; 12 ÷ [(–4) + (–8)] b) –7; [(–9) + 6] ÷ 3 c) 1; 5 ÷ (–5) × [0 + 1] The right to reproduce or modify this page is restricted to purchasing schools. This page may have been modified from its original. Copyright © 2008 Pearson Education Canada