Page 113 - Maths Skills - 7

Exponents and Powers 111

Exercise 6.3

1. Express each of the facts in standard form.

(i) Speed of light in vacuum is 300 million metres per second.
(ii) The mass of Uranus is 86,000,000,000,000,000,000,000,000,000 g.
(iii) The distance between Sun and Earth is 149,600,000,000 m.

(iv) The charge on an electron is 0.0000000048 electrostatic units.
(v) There are 1734480000 seconds in 55 years. (vi) There are 100,000,000,000 stars in a galaxy.

2. Express the following in standard form.
(i) 18 billion (ii) 245 million (iii) 16300000000 (iv) 893.256

3. Find the number from each of the following expanded form.
(i) 6 × 10 + 2 × 10 + 7 × 10 + 3 × 10 0
3
1
4
(ii) 9 × 10 + 8 × 10 + 7 × 10 + 6 × 10 + 5 × 10 + 4 × 10 + 3 × 10 0
3
4
5
6
2
1
(iii) 3 × 10 + 1 × 10 + 2 × 10 + 6 × 10 + 4 × 10 + 9 × 10 0
7
9
3
5
1
4. Write the following in usual form.
(i) 8.5 × 10 (ii) 6.073 × 10 (iii) 2.7 × 10 (iv) 3.33 × 10 4
3
6
7
ASSESSMENT TIME
−   1
−   1
COMPETENCY BASED QUESTIONS  1 −   1 − 
×
×
×
3. In power notation        
A. Multiple-Choice Questions can be written as:  5   5   5   5 

1. (–1) = (i) (–5) 4 (ii)  −  1  4
53
(i) 1 (ii) – 53  5 
1
 −  1 3   4
(iii) –1 (iv) 0 (iii)   (iv) −  
5
 5   
 7 1 4. 40,000,000,000 in standard form is
− 
2.   =
6
 15  (i) 4 × 10 (ii) 4 × 10 10
(iii) 4 × 10 (iv) none of these
8
− 
 −15   7
(i)   (ii)   −343
 7   −15  5. The exponential form of is
7 −7 1331
(iii) (iv)  7  2  7  3
15 15 (i)   (ii)  
 11   11 
 7 3  7  2
− 
(iii)   (iv) −  
 11   121 