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Chapter 3: Problem 2

\(\quad\) Write \(9.0046\) to (a) 3 s.f., (b) 2 s.f., (c) 1 s.f.

Short Answer

Expert verified
Question: Round the number 9.0046 to the specified significant figures: a) 3 s.f., b) 2 s.f., and c) 1 s.f. Answer: a) 9.00, b) 9.0, and c) 9.

Step by step solution

01

Identify the significant figures and round to 3 s.f.

In this part, we will round 9.0046 to 3 significant figures (s.f.). The first three significant figures are 9, 0, and 0. Since the next digit (4) is less than 5, the third digit (0) remains the same. Therefore, we have: 9.0046 rounded to 3 s.f. is 9.00.
02

Identify the significant figures and round to 2 s.f.

In this part, we will round 9.0046 to 2 significant figures (s.f.). The first two significant figures are 9 and 0. Since the next digit (0) is less than 5, the second digit (0) remains the same. Therefore, we have: 9.0046 rounded to 2 s.f. is 9.0.
03

Identify the significant figures and round to 1 s.f.

In this part, we will round 9.0046 to 1 significant figure (s.f.). The first significant figure is 9. Since the next digit (0) is less than 5, the first digit (9) remains the same. Therefore, we have: 9.0046 rounded to 1 s.f. is 9.

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Most popular questions from this chapter

Express the following decimal numbers as proper fractions in their simplest form: (a) \(0.8\) (b) \(0.80\) (c) \(0.08\) (d) \(0.080\) (e) \(0.800\)

Write \(5.5550\) to (a) 2 s.f., (b) 1 s.f.

Write \(0.550\) to (a) 2 s.f., (b) 1 s.f.

To three significant figures a number is \(3.60\). State the maximum and minimum possible values of the number.

Write each of the following as a proper fraction in its simplest form: (a) \(0.12\) (b) \(0.125\) (c) \(0.1250\) (d) \(0.85\) (e) \(0.76\)
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