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Q.1. Fill in the blanks :
(a)
(b) (–3)^{3} × (–3)^{4} = ....................
Ans.
(a)
(b) (–3)^{7}
Q.2. Evaluate :
(a) Find the value of x :
(b) Find the value of a :
Ans. (a) x = 3
(b) a = 23
Q.3. Match of column :
Ans.
Column 'A' (Column 'B'
(a) (v)
(b) (iv)
(c) (i)
(d) (iii)
(e) (ii)
Q.4. Write in the standard form :
(a) The distance between Earth and Moon is 384,000 km.
(b) Speed of light in vacuum is 300,000,000 m/s
(c) 0.0034256
Ans. (a) 3.84 × 10^{5} km
(b) 3 × 10^{8} m/s
(c) 3.4256 × 10^{–3}
Q.5. Find the value of x :
(a)
(b)
Ans. (a) 32
(b) 23
Q.6. Simplify :
(a)
(b)
Ans.
(a)
(b)
Q.7. Simplify :
(a) (–3)^{2}^{ }× (–5)^{2}
(b) [(16)^{6} ÷ (16)^{3} ] x (16)^{3}
Ans. (a) 225
(b) 1
Q.8. Find the value of :
(a) 2° × 3° × 4°
(b) 3° × 5° + 19°
(c) (7° ÷ 3°) × (8° – 5°)
(d) 4° × 6° + 100°
Ans.
(a) 1
(b) 3
(c) 0
(d) 2
Q.9. Fill in the blanks :
Ans.
Q.10. Simplify and write the answer in scientific rotation : (a) (5 × 10^{3}) × (3 × 10^{5})
(b)
Ans. (a) 1.5 ×10^{9}
(b) 5 × 10^{1 }
Q.11. Find m for the following :
(a)
(b)
Ans. (a) m = 5
(b) m = 3
Q.12. Using the standard form, write number 73984 in expanded form.
Ans. 7 × 10^{4} + 3 ×10^{3 }+ 9 × 10^{2 }+ 8 × 10^{1} + 4 × 10°
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