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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 1) 2) 3) 4) Scientific notation word problems 5) 6) 7) 8) 9) Scientific notation word problems 10) 11) 12) 13) 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