Chapter 0, Problem 0.47SP

(a)

Interpretation Introduction

Interpretation:

The significant figures has to be rounded off for the given measurement.

Concept Introduction:

Significant figures:

The total number of digits that are recorded for a measurement is named as measurements of number of significant figures.

Rules for significant figures:

• Zero present in the middle of number are always significant
  • Example: The number of significant figures in $\text{4}\text{.803 cm}$ is four.
• Zero present at the starting of a number are non-significant, they act to find the decimal point.
  • Example: The number of significant figures in $\text{0}\text{.0061g}$ is three.
• Zero present at the end of the number and after a decimal point are significant.
  • Example: The number of significant figures in $\text{55}\text{.220 K}$ is five.
• Zero present at the end of the number and before a decimal point are non-significant.
  • Example: The number of significant figures in $\text{34,200}$ m may be three, four or five.

Rounding off the significant figures:

• If the first digit is less than five, round down by dropping it and all succeeding digits
• If the first digit is greater than or equal to five, remove five and add one to the digit on the left.

(b)

Interpretation Introduction

Interpretation:

The significant figures has to be rounded off for the given measurement.

Concept Introduction:

Significant figures:

The total number of digits that are recorded for a measurement is named as measurements of number of significant figures.

Rules for significant figures:

• Zero present in the middle of number are always significant
  • Example: The number of significant figures in $\text{4}\text{.803 cm}$ is four.
• Zero present at the starting of a number are non-significant, they act to find the decimal point.
  • Example: The number of significant figures in $\text{0}\text{.0061g}$ is three.
• Zero present at the end of the number and after a decimal point are significant.
  • Example: The number of significant figures in $\text{55}\text{.220 K}$ is five.
• Zero present at the end of the number and before a decimal point are non-significant.
  • Example: The number of significant figures in $\text{34,200}$ m may be three, four or five.

Rounding off the significant figures:

• If the first digit is less than five, round down by dropping it and all succeeding digits
• If the first digit is greater than or equal to five, remove five and add one to the digit on the left.

(c)

Interpretation Introduction

Interpretation:

The significant figures has to be rounded off for the given measurement.

Concept Introduction:

Significant figures:

The total number of digits that are recorded for a measurement is named as measurements of number of significant figures.

Rules for significant figures:

• Zero present in the middle of number are always significant
  • Example: The number of significant figures in $\text{4}\text{.803 cm}$ is four.
• Zero present at the starting of a number are non-significant, they act to find the decimal point.
  • Example: The number of significant figures in $\text{0}\text{.0061g}$ is three.
• Zero present at the end of the number and after a decimal point are significant.
  • Example: The number of significant figures in $\text{55}\text{.220 K}$ is five.
• Zero present at the end of the number and before a decimal point are non-significant.
  • Example: The number of significant figures in $\text{34,200}$ m may be three, four or five.

Rounding off the significant figures:

• If the first digit is less than five, round down by dropping it and all succeeding digits
• If the first digit is greater than or equal to five, remove five and add one to the digit on the left.

(d)

Interpretation Introduction

Interpretation:

The significant figures has to be rounded off for the given measurement.

Concept Introduction:

Significant figures:

The total number of digits that are recorded for a measurement is named as measurements of number of significant figures.

Rules for significant figures:

• Zero present in the middle of number are always significant
  • Example: The number of significant figures in $\text{4}\text{.803 cm}$ is four.
• Zero present at the starting of a number are non-significant, they act to find the decimal point.
  • Example: The number of significant figures in $\text{0}\text{.0061g}$ is three.
• Zero present at the end of the number and after a decimal point are significant.
  • Example: The number of significant figures in $\text{55}\text{.220 K}$ is five.
• Zero present at the end of the number and before a decimal point are non-significant.
  • Example: The number of significant figures in $\text{34,200}$ m may be three, four or five.

Rounding off the significant figures:

• If the first digit is less than five, round down by dropping it and all succeeding digits
• If the first digit is greater than or equal to five, remove five and add one to the digit on the left.