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$
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...
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The subject is Numerical Methods.
Transcribed Image Text:1. How many significant figures in the following numbers?
(a) 929
(e) 51200
(b) 0.0929
(f) 5.12 x 10
(c) 0.00929
(g) 5.120 × 10$
(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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