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Chapter 2: Problem 66

Underline any trailing zeros in these measurements: (a) \(12.202 \mathrm{~km}\) (b) \(0.01 \mathrm{~mL}\) (c) \(205^{\circ} \mathrm{C}\) (d) \(0.010 \mathrm{~g}\)

Short Answer

Expert verified
Trailing zeros are the zeros that come after a non-zero digit in a decimal number. In the given measurements: (a) There are no trailing zeros in \(12.202 \mathrm{~km}\). (b) The trailing zero in \(0.01 \mathrm{~mL}\) is the last zero: \(0.0\underline{1}\mathrm{~mL}\). (c) There are no trailing zeros in \(205^{\circ} \mathrm{C}\). (d) There are two trailing zeros in \(0.010\mathrm{~g}\): \(0.0\underline{1}\underline{0}\mathrm{~g}\).

Step by step solution

01

1. Identify Trailing Zeros in (a)

In the number \(12.202 \mathrm{~km}\), the decimal part consists of the digits \(202\). There are no zeros after the last non-zero digit, which means there are no trailing zeros in this number.
02

2. Identify Trailing Zeros in (b)

In the number \(0.01 \mathrm{~mL}\), the decimal part consists of the digits \(01\). There is one zero after the last non-zero digit (1), so the trailing zero in this number is the last zero: \(0.0\underline{1}\mathrm{~mL}\).
03

3. Identify Trailing Zeros in (c)

In the number \(205^{\circ} \mathrm{C}\), there are no decimal points, so there are no trailing zeros. However, if we wanted to express the number with a decimal point, it would be \(205.0^{\circ} \mathrm{C}\), but still, there is no zero after the last non-zero digit, so there are no trailing zeros.
04

4. Identify Trailing Zeros in (d)

In the number \(0.010\mathrm{~g}\), the decimal part consists of the digits \(010\). There are two zeros after the last non-zero digit (1): \(0.0\underline{1}\underline{0}\mathrm{~g}\).

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Most popular questions from this chapter

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