Maths Frameworking Pupil Book 2.3 Answers Exercise 1A 1 a 1 b -11 c 8 d -1 e -7 f -12 g -12 h -5 i -21 j -3 2 a b c d 28 e f −12 −20 −18 −36 −30 g 20 h 14 i j k 4 l −9 −3 −17 m 12 n o 9 p 10 −4 3a b 4 2, 4 × for example −2 × 12, −12 × −6, × 6, × 8 −4 −3 5 a b c d 21 −5 −7 −8 e 5 f 9 g 9 h 7 i j k l −4.5 −1.5 −7.5 −4.5 m 7.5 n o 10.5 p 10 −10 6 a b 6 c d 60 −63 −13 e 63 f 11 g h 4 −2 i j 4 k l −36 −1 −48 m n o −4 −15 −3.2 7 a i 1 ii 25 iii 49 iv 81 b Because same sign multiplied gives positive, but a negative always comes from different signs, hence no square root of a negative number 8 a 48 b 75 c d −3 −4 e f g h −20 −9 −12 −12 9 a 3 × b + × 2 (−6 + 2) (−3 −4) c 8 – (4 − 1) 10 a × × b × × −2 −2 −2 −3 −3 −3 c × × −5 −5 −5 Challenge: Multiplication square × 3 5 −6 −8 2 6 10 −12 −16 24 32 −4 −12 −20 7 21 35 −42 −56 9 27 45 −54 −72
Maths Frameworking Pupil Book 2.3 Answers Exercise 1A 1 a 1 b -11 c 8 d -1 e -7 f -12 g -12 h -5 i -21 j -3 2 a −12 b −20 c −18 d 28 e −36 f −30 g 20 h 14 i −9 j −3 k 4 l −17 m 12 n −4 o 9 p 10 3a b 4 for example −2 × 12, −12 × 2, 4 × −6, −4 × 6, −3 × 8 5 a −5 b −7 c −8 d 21 e 5 f 9 g 9 h 7 i −4.5 j −1.5 k −7.5 l −4.5 m 7.5 n −10 o 10.5 p 10 6 a −63 b 6 c −13 d 60 e 63 f 11 g −2 h 4 i −36 j 4 k −1 l −48 m −4 n −15 o −3.2 7 a i 1 ii 25 iii 49 iv 81 b Because same sign multiplied gives positive, but a negative always comes from different signs, hence no square root of a negative number 8 a 48 b 75 c −3 d −4 e −20 f −9 g −12 h −12 9 a 3 × (−6 + 2) b (−3 + −4) × 2 c 8 – (4 − 1) 10 a −2 × −2 × −2 b −3 × −3 × −3 c −5 × −5 × −5 Challenge: Multiplication square × 3 5 −6 −8 2 6 10 −12 −16 −4 −12 −20 24 32 7 21 35 −42 −56 9 27 45 −54 −72