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How many significant figures in the following numbers? (a) 929 (e) 51200 (b) 0.0929 (f) 5.12 x 10 (c) 0.00929 (g) 5.120 x 10$

How many significant figures in the following numbers? (a) 929 (e) 51200 (b) 0.0929 (f) 5.12 x 10 (c) 0.00929 (g) 5.120 x 10$

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22T
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The subject is Numerical Methods.

1. How many significant figures in the following numbers? (a) 929 (e) 51200 (b) 0.0929 (f) 5.12 x 10 (c) 0.00929 (g) 5.120 × 10$ (d) 0.00 000 000 929 (h) 5.12000 × 10$ 2. Given that 4 (a) 5 3 1 4 (b) 5 3 1 Perform each of the above computation (i) Exactly, (ii) Using three-digit chopping arithmetic, (iii) Using three-digit rounding arithmetic. 3. Given the following numbers, (a) 97450677 (c) 0.2553075606 (b) e = 2.718281828 (d) m, =1.67492716 ×10-27 Find the six-digit representations by (i) Chopping-off technique, (ii) Rounding-off technique. 4. Given that dx 0.2553074606. Find the approximation by replacing the integrand f(x) = e" with the truncated Taylor series e =1+ x + Give the answer in 3 decimal places using 4! + 2! 3! round-off technique.
Transcribed Image Text:1. How many significant figures in the following numbers? (a) 929 (e) 51200 (b) 0.0929 (f) 5.12 x 10 (c) 0.00929 (g) 5.120 × 10$ (d) 0.00 000 000 929 (h) 5.12000 × 10$ 2. Given that 4 (a) 5 3 1 4 (b) 5 3 1 Perform each of the above computation (i) Exactly, (ii) Using three-digit chopping arithmetic, (iii) Using three-digit rounding arithmetic. 3. Given the following numbers, (a) 97450677 (c) 0.2553075606 (b) e = 2.718281828 (d) m, =1.67492716 ×10-27 Find the six-digit representations by (i) Chopping-off technique, (ii) Rounding-off technique. 4. Given that dx 0.2553074606. Find the approximation by replacing the integrand f(x) = e" with the truncated Taylor series e =1+ x + Give the answer in 3 decimal places using 4! + 2! 3! round-off technique.
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