Topic Content:
- Meaning of Approximation
- Using Approximation to Estimate Answers
- Worked Examples
- End of Lesson Evaluation Questions
What are Approximations?
Approximations are not exact, but close enough value to the original value that can be used in a calculation.
For example;
1. If the bus ride takes 57 minutes, one can say it is “a one-hour bus ride”
2. If a cord measures 3.14 cm, one can say it is 3 cm (which is not the actual value).
The exact number may be greater than or less than the approximation.
Worked Example 12.1.1:
Round off 285.563 correct to
a. 1s.f
b. 2s.f
c. 1d.p
d. 2 d.p
Solution
a. 285.563 = 300 to 1s.f
b. 285.563 = 290 to 2s.f.
c. 285.563 = 285.6 to 1d.p
d. 285.563 = 285.56 to 2 d.p
Worked Example 12.1.2:
Calculate the following and round your answer to the given degree of accuracy.
a. 679.209 + 20.95 (2 d.p)
b. 7.63 × 0.6213 (3s.f)
c. 792.65 – 37.809 (2 d.p)
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