Chapter 3: Problem 6

Write \(0.0982\) to (a) 3 d.p., (b) 2 d.p., (c) I d.p., (d) 2 s.f., (e) 1 s.f.

Short Answer

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Question: Convert the decimal number 0.0982 into the following formats: 3 decimal places, 2 decimal places, 1 decimal place, 2 significant figures, and 1 significant figure. Answer: 0.0982 can be converted as follows: - 3 decimal places: 0.098 - 2 decimal places: 0.10 - 1 decimal place: 0.1 - 2 significant figures: 0.099 - 1 significant figure: 0.1

Step by step solution

Convert 0.0982 to 3 d.p.

To convert the number to 3 decimal places (d.p.), we need to look at the fourth decimal place. If it's 5 or greater, we round up; otherwise, we round down. In this case, the fourth decimal place is 2, which is less than 5, so we round down. The result is 0.098.

Convert 0.0982 to 2 d.p.

To convert the number to 2 decimal places (d.p.), we need to look at the third decimal place. If it's 5 or greater, we round up; otherwise, we round down. In this case, the third decimal place is 8, which is greater than 5, so we round up. The result is 0.10.

Convert 0.0982 to 1 d.p.

To convert the number to 1 decimal place (d.p.), we need to look at the second decimal place. If it's 5 or greater, we round up; otherwise, we round down. In this case, the second decimal place is 9, which is greater than 5, so we round up. The result is 0.1.

Convert 0.0982 to 2 s.f.

To convert the number to 2 significant figures (s.f.), we need to look at the second significant digit. If the following digit is 5 or greater, we round up; otherwise, we round down. In this case, the second significant digit is 9 and the following digit is 8, which is greater than 5, so we round up. The result is 0.099.

Convert 0.0982 to 1 s.f.

To convert the number to 1 significant figure (s.f.), we need to look at the first significant digit. If the following digit is 5 or greater, we round up; otherwise, we round down. In this case, the first significant digit is 0 and the following digit is 9, which is greater than 5, so we round up. The result is 0.1.

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Write \(0.0982\) to (a) 3 d.p., (b) 2 d.p., (c) I d.p., (d) 2 s.f., (e) 1 s.f.

Short Answer

Step by step solution

Convert 0.0982 to 3 d.p.

Convert 0.0982 to 2 d.p.

Convert 0.0982 to 1 d.p.

Convert 0.0982 to 2 s.f.

Convert 0.0982 to 1 s.f.

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