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Home › Grade7 › Grade 7 Olympiad › Math Olympiad-Grade-7 › Powers & Exponents › Exponents and Powers Worksheet-3

Exponents and Powers Worksheet-3

Exponents and Powers Worksheet-3

 

  1. (1.4 × 106) × (1.2 × 103) = __?__

(a) 2.6 × 109      (b) 2.6 × 104     (c) 1.7 × 109       (d) 1.7 × 1018

 

  1. (4.5 × 105) ÷ (1.5 × 103) = __?__

(a) 3 × 108         (b) 3 × 102         (c) 3 × 1015        (d) 3 × 104

 

  1. (2 × 103) (3 × 104) = __?__

(a) 5 × 107          (b) 6 × 101         (c) 6 × 1012              (d) 6 × 107

 

  1. The smallest known star in the universe is OGLE-TR-122b. It has a diameter of 8.29 × 103 km. The largest known star in the universe, VY Canis Majoris, is about 1.67 × 105 times larger than OGLE-TR-122b. What is the diameter of VY Canis Majoris?

(a) 2.38 × 109 km                         (b) 1.38 × 109 km

(c) 1.38 × 1011 km                         (d) 7.3 × 107 km

 

  1. There are 3.2 × 108 virus in a sample vile. How many total number of virus will there be in 5,000 such vile?

(a) 16 × 108       (b) 16.0 × 1012  (c) 1.6 × 1012     (d) 1.6 × 1011

 

(a) 4 × 107         (b) 4 × 1012        (c) 4 × 10–1        (d) 4 × 101

 

  1. Find the quotient : 360,000,000 ÷ 0.0008

(a) 4.5 × 1010    (b) 4.5 × 1011     (c) 4.5 × 1012     (d) 4.5 × 109

 

  1. Size of a Helium atom is 62 pico meter. If 105 Helium atoms are placed in a straight line, how long line will it make? (1 pico meter = 10–12 meter)

(a) 6.2 × 10–17 meter                    (b) 6.2 × 10–7 meter

(c) 62 × 10–6 meter                      (d) 6.2 × 10–6 meter

 

  1. Weight of a Hydrogen atom is 1.66 × 10–27 kg. How many Hydrogen atoms are there in a container that has 8.3 × 10–3 kg of Hydrogen?

(a) 5 × 1024 atoms                        (b) 5 × 10–24atoms

(c) 5 × 1027 atoms                         (d) 5 × 1030 atoms

 

  1. (2 × 10–3) (2 × 108) = __?__

(a) 4 × 105         (b) 4 × 1011        (c) 4 × 10–5        (d) 4 × 106

 

  1. Write in  the standard notation: 5.2 × 107

(a) 52,000,000,000                    (b) 52,000,000

(c) 520,000                                   (d) 52,000

 

  1. Which is the smallest number?

(a) 1.9 × 10–4       (b) 1.9 × 102      (c) 1.5 × 10–6     (d) 0.000022

 

  1. 4.637 can be rewritten in scientific notational form as ______.

(a) 4.37 × 102   (b) 4.37 × 101    (c) 4.37 × 10–1  (d) 4.37 × 100

 

  1. Write 1.7 × 10–4 in decimal notation.

(a) 0.00017       (b) 0.0017         (c) 0.017            (d) 0.000017

 

  1. 2.0 × 102 can be rewritten as _____.

(a) 0.2 × 102     (b) 20 × 103      (c) 0.2 × 10–3    (d) 0.2 × 103

 

  1. Change 2.9 × 10–4 to standard notation.

(a) 0.00029      (b) 0.000209   (c) 0.0029         (d) 0.000029

 

Answer Key:

(1)-(c); (2)-(b); (3)-(d); (4)-(b); (5)-(c); (6)-(d); (7)-(b); (8)-(d); (9)-(a); (10)-(a); (11)-(b); (12)-(c); (13)-(d); (14)-(a); (15)-(d); (16)-(a)