Download Scientific notation word problems

Scientific notation word problems
Using Scientific Notation in Real Life Situations
With a partner, highlight any keys words that will help you to decide what operation is needed to solve each of these
problems.
Approximately, how much further from the sun is Saturn than Earth. Earth is approximately 9.3 × 107 miles from the sun and Saturn is approximately 8.87 × 108 miles from the sun.
Scientific notation word problems
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Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
The nucleus of a human cell is about
7 x 10-6 meter in diameter.
A ribosome, another part of a cell, is
about 3 x 10-8 meter in diameter.
Approximately how many times larger
is a nucleus than a ribosome?
7 x 10-6
3 x 10-8
= 2.33... x 102
Scientific notation word problems
The mass of Earth is about
1.3 x 1025
The mass of Jupiter is about
4.2 x 1027
About how many times
Earth's mass is Jupiter's
mass?
4.2 x 1027
1.3 x 1025
= 3.230... x 102
Scientific notation word problems
Medium - answer questions 1, 3, 4, 6
Hard - answer questions 2, 5, 7
calculator
Difficult - answer questions 2, 5, 7
non-calculator
Scientific notation word problems
Question 1
A pixel on a computer screen is 2 × 10–2 cm long by 7 × 10–3 cm wide.
What is the area of the pixel?
Question 2
The star Betelgeuse is 1.8 × 1015 miles from Earth. Light travels at 1.86 × 105 miles per second.
How many seconds does it take light to travel from Betelgeuse to Earth?
Give your answer in scientific notation.
Scientific notation word problems
Question 3
A typical adult has about 20 000 000 000 000 red corpuscles. Each red corpuscle weighs about 0.000 000 000 1 gram. Write both of these numbers in scientific notation and work out the total mass of red corpuscles in a typical adult.
Question 4
Evaluate E M
­2
3
when E = 1.5 × 10 and M = 3 × 10 , giving your answer in scientific notation.
Question 5
Work out the value of
giving your answer in scientific notation, correct to two significant figures.
Scientific notation word problems
Question 6
Many people withdraw money from their banks by using hole­in­the­wall machines. Each day there are eight million withdrawals from 32 000 machines. What is the average number of withdrawals
per machine?
Question 7
The mass of Saturn is 5.686 × 1026 tonnes. The mass of the Earth is 6.04 × 1021 tonnes. How many times heavier is Saturn than the Earth? Give your answer in standard form to a suitable degree of accuracy.
Scientific notation word problems
Answers
Qu 1
2 x 10-2 x 7 x 10-3
(2 x 7) x (10-2x 10-3)
14 x 10-5
1.4 x 10-4
Qu 3
2 x 1013 x 1 x 10-10
(2 x 1) x (1013x 10-10)
2 x 103
Qu 2
1.8 x 1015 ÷ 1.86 x 105
(1.8 ÷ 1.86) x (1015÷ 105)
0.96774... x 1010
9.6774... x 109
Qu 4
1.5 x 103 ÷ 3 x 10-2
(1.5 ÷ 3) x (103÷ 10-2)
0.5 x 105
5 x 104
Qu 6
3.2 x 104 ÷ 8 x 106
(3.2 ÷ 8) x (104÷ 106)
0.4 x 10-2
4 x 10-3
Qu 5
3.2 x 107 ÷ 1.4 x 102
(3.2 ÷ 4) x (107÷ 102)
2.2857... x 105
2.3 x 105
Qu 7
5.686 x 1026 ÷ 6.04 x 1021
(5.686 ÷ 6.04) x (1026÷ 1021)
0.94139.. x 105
9.4139 x 104
Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
Scientific notation word problems
Answers to word problems