Standard Form | Stanford University - Edubirdie

University:
Stanford University
Course:
Introduction to Mathematical Thinking
Academic year:

2023
Views:

488

Pages:

2
Author:

MAlphen

Standard Form 1 (a) Sound travels at 1234.8 km/h. Express the speed of sound in metres [2] per second, giving your answer in standard form. (b) Mercury is 6.58 × 107 kilometres from the Sun and the Pluto is [2] 5.914 billion kilometres from the Sun. How much further from the Sun is Pluto than Mercury? 2 Given that 𝑝 = 5 × 10−2 and that 𝑞 = 4 × 103, evaluate the following, leaving your answer in standard form, (a) 𝑝 × 𝑞, (b) 𝑞 + [1] 1. [2] 𝑝2 1 Solutions: (a) = 343 = 3.43 × 102 m/s 1234.8×1000 60×60 (b) 5.914 × 109 − 6.58 × 107 = 5.8482 × 109 or 5.85 × 109 Ans: (a) 3.43 × 102 m/s (b) 5.8482 × 109 or 5.85 × 109 2 Solutions: (a) 5 × 10−2 × 4 × 103 = 2 × 102 (b) 4 × 103 + 1 (5×10−2)2 = 4 × 103 + 1 25×10−4 = 4.4 × 103 Ans: (a) 2 × 102 (b) 4.4 × 103

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