Maths

Number
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3. Write the following numbers, which are in scientific notation, in standard decimal form:
(a) 3·0 × 10 −2 =
(b) 4·12 × 10 −4 =
(c) 3·57 × 10 5 =
(d) 2 × 10 6 =
(e) 5·6 × 10 −7 =
(f) 6 × 10 −5 =
(g) 1 × 10 −4 =
(h) 1 × 10 5 =
(i) 3·3 × 10 0 =
(j) 7·8 × 10 8 =
4. Simplify the following without using your calculator. Give all answers in the form
a × 10 n , 1 ≤ a < 10, n ∈ Z.
(a) 2 × 10 3 × 3 × 10 2 =
(b) 4·2 × 10 5 × 3 × 10 −3 = =
(c) 7 × 10 3 × 8 × 10 5 = =
(d) 1·6 × 10 −19 × 6 × 10 23 =
(e) (3 × 10 8 ) 2 =
(f) 6 × 10 −26 × (3 × 10 8 ) 2 =
______
(g) 4 × 10 8
2 × 10 = 4
_______
(h) 1 × 10 5
2 × 10 = =
−3
(i)
6 × 1 0 −4 _______
3 × 1 0 −5 =
× = =
(j) 3 × 10 −2 + 2 × 10 −3 = + =
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