Express the following numbers in the standard form:(i) 5985.3 (ii) 65,950(iii) 3,430,000 (iv) 70,040,000,000
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Write exponential form for 8 × 8 × 8 × 8 taking base as 2.
Express the following terms in the exponential form:
(i) (2 × 3)5 (ii) (2a)4 (iii) (– 4m)3
Can you tell which one is greater (52) x 3 or (52)3 ?
Express the following numbers as a product of powers of prime factors:(i) 72 (ii) 432 (iii) 1000 (iv) 16000
Express 256 as a power 2.
Express the following numbers in standard form:
(i) 5, 00, 00, 000 (ii) 70, 00, 000
(iii) 3, 18, 65, 00, 000 (iv) 3, 90, 878
(v) 39087.8 (vi) 3908.78
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Find the number from each of the following expanded forms:
(a) 8 x 104 + 6 x 103 + 0 x 102 + 4 x 101 + 5 x 100
(b) 4 x 105 + 5 x 103 + 3 x 102 + 2 x 100
(c) 3 x 104 + 7 x 102 + 5 x 100
(d) 9 x 105 + 2 x 102 + 3 x 101
Express each of the following as a product of prime factors only in exponential form:
(i) 108 x 192 (ii) 270
(iii) 729 x 64 (iv) 768
Say true or false and justify your answer:
(i) 10 x 1011 = 10011 (ii) 23 > 52
(iii) 23 x 32 = 65 (iv) 30 = (1000)0
Simplify and express each of the following in exponential form:
(i) (ii) (iii)
(iv) (v) (vi) 20 + 30 + 40
(vii) 20 × 30 × 40 (viii) (30 + 20) × 50 (ix)
(x) (xi) (xii)
Compare the following numbers:
(i) 2.7 x 1012; 1.5 x 108
(ii) 4 x 1014; 3 x 1017
Simplify:
(i) (- 4)3 (ii) (- 3) x (- 2)3
(iii) (- 3)2 x (- 5)2 (iv)(- 2)3 x (-10)3
(i) 2 x 103 (ii) 72 x 22
(iii) 23 x 5 (iv) 3 x 44
(v) 0 x 102 (vi) 52 x 33
(vii) 24 x 32 (viii) 32 x 104
Express each of the following as product of powers of their prime factors:
(i) 648 (ii) 405
(iii) 540 (iv) 3,600
Find the value of:
(i) 26 (ii) 93
(iii) 112 (iv)54