Indices and standard form

# Copy each of the following statements and fill in the

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Unformatted text preview: = a4×3 = a 12 42 MEP Y9 Practice Book A Exercises 1. Copy each of the following statements and fill in the missing numbers: (a) (b) 36 × 35= 3 (c) 37÷ 34 = 3 (d) 83× 84 = 8 (e) (3 ) (f) (2 ) (g) 2. 23 × 2 7 = 2 36 =3 32 (h) 47 =4 42 2 5 =3 3 6 =2 Copy each of the following statements and fill in the missing numbers: (a) a3× a2= a (b) b7÷ b2= b (c) (b ) =b (d) b6× b4= b (e) (z 3 ) = z (f) q 16 =q q7 2 5 9 3. Explain why 9 4 = 3 8 . 4. Calculate: (a) (b) 60× 70 (c) 5. 30 + 40 80 − 30 (d) 60+ 20− 40 Copy each of the following statements and fill in the missing numbers: (a) (c) 36 × 3 = 3 17 a6 (b) (d) (z ) (f) p 16 ÷ p (h) = a4 46× 4 q 13 ÷ q 6 = 4 11 = z 18 a (e) (a ) (g) (p = a 95 19 ) 8 = p 40 43 = p7 =q MEP Y9 Practice Book A 3.2 6. Calculate: (a) (b) 34 − 30 3 3 (c) 54 62 + 52 6 (d) 77 59 − 75 57 (e) 7. 23 + 30 2 2 10 8 5 6 − 10 5 5 3 (f) 4 17 4 13 − 4 14 4 11 Fill in the missing numbers in each of the following expressions: (a) (b) 81 3 = 9 (c) 25 6 = 5 (d) 47= 2 (e) 125 4 = 5 (f) 1000 6 = 10 (g) 8. 82= 2 81 = (h) 256 = 4 4 = 8 Fill in the missing numbers in each of the following expressions: (a) 8×4 = 2 ×2 (b) 25 × 625 = 5 =2 (c) =5 3 243 = 9 3 (d) 2 128 = 16 2 =3 9. =3 =2 Is each of the following statements true or false? (a) 32 × 22 = 64 (b) 5 4 × 2 3 = 10 7 (c) 68 = 38 28 (d) 10 8 = 22 56 44 ×5 MEP Y9 Practice Book A 10. Copy and complete each expression: (a) (2 4 (c) 23× 24 27 62 × 68 63 4 (e) 6 × 2 3) 4 = (2 = (2 = )4 ) (6 4 (b) =2 )4 =6 36 5 2 = 3 (d) =2 3 2 × 9 33 (f) 78 2 7 × 73 (3 4 )5 (3 = 5 = (7 =3 )4 )5 =3 =7 3.3 Negative Indices Using negative indices produces fractions. In this section we practice working with negative indices. From our work in the last section, we see that a2÷ a3 = a2−3 a2÷ a3 = a×a a×a×a = a −1 but we know that So clearly, a −1 = 1 a a −2 = 1 a2 = 1 a×a = 1 a3 = 1 a×a×a In same way, a −3 45 = 1 , a fraction. a 3.3 MEP Y9 Practice Book A and, in general, a −n = 1 an for positive...
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## This document was uploaded on 03/03/2014 for the course O-LEVEL Mathematic at Beaconhouse School System.

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