Page 65 - Hybrid PBD 2021 Form 1 - Matematik

Matematik Tingkatan 1 Bab 3
20. Cari nilai bagi setiap yang berikut tanpa menggunakan kalkulator. SP 3.2.4 TP2
Find the value of each of the following without using a calculator.
(a) 9 (b) (–0.4)
3
3
(–2) = 9 × 9 × 9 = (–0.4) × (–0.4) × (–0.4)
3
= (–2) × (–2) × (–2) = 729 = –0.064
= –8
7
(c) 0.8 3 4 3 1 3   3
2
–
5
3
= 0.8 × 0.8 × 0.8 (d)   (e)   = 3
7
7
7
     
= 0.512 = – 4 × – 4 × – 4 =      
×
×
5
3
3
3
5
5
64 343 19
= – = = 12
125 27 27
21. Cari nilai bagi setiap yang berikut dengan menggunakan kalkulator. SP 3.2.4 TP2
Find the value of each of the following using a calculator.
3
(a) 9.8 (b) (–14)
3
3
(–12.1) = 941.192 = –2 744 Tip Penting
= –1 771.561   = a × a × a 
a 3
b
b
b
b
  = a × a × a 
a 3
(c) 0.4 (d)   3 (e)   3 b b
1
3
1
= 0.064 5 8 5   = a 
a 3
1 46 b b × b × b
= = 551
125 125
22. Cari punca kuasa tiga bagi setiap yang berikut dengan menggunakan kaedah pembahagian berulang
dengan pemfaktoran perdana. SP 3.2.5 TP2
Find the cube root of each of the following by repeated division by prime factorisation method.
9 261
2 197
(a)  (b)  7 9 261
3
3
343
3  7 1 323
13 × 13 × 13
9 261
2 197
3
3  =  13 2 197 3  7 189
343
7 × 7 × 7
 =  = 13 =  3 27
3 3 7 343 13 169
7 × 7 × 7 × 3 × 3 × 3
3
= 7 7 49 13 13 3 9
21 × 21 × 21
3
7 7 1 =  3 3
1 = 21 1
1 000
(c)  (d)  (e) 
729
15 625
3
3
3
5 15 625 3 729 5 1 000
5 3 125 3 243 5 200
5 625 3 81 5 40
5 125 3 27 2 8
5 25 3 9 2 4
5 5 3 3 2 2
1 1 1
5 × 5 × 5 × 2 × 2 × 2
1 000
3 × 3 × 3 × 3 × 3 × 3
729
15 625
3  3  =  3  = 
3
3
5 × 5 × 5 × 5 × 5 × 5
5 × 2 × 5 × 2 × 5 × 2
=  =  = 
9 × 9 × 9
3
3
3
=  = 9 = 
25 × 25 × 25
3
10 × 10 × 10
3
= 25
= 10
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