Chapter 2.3, Problem 50SSC

Interpretation Introduction

Interpretation:

An expression for a quantity $\text{506, 000}\text{cm}$ in which all the zeros are significant needs to be determined.

Concept introduction:

In order to determine the number of significant figures, the following rules should be applied,

1. The non-zero digits are always significant.

2. In a number, the zeros to the left of the first non-zero digit are not significant.

3. Zeros between non zero digits are significant

4. Zeros to the right of the decimal place are significant

5. If a number ends in zero that are not to the right of a decimal, the zeros may or may not be significant.

Answer to Problem 50SSC

The given number $\text{506, 000}\text{cm}$ can be represent as $\text{5}\text{.06000}\times {\text{10}}^5\text{cm}$ in which all the zeros are significant

Explanation of Solution

To make all the zeros significant, convert the given number to the scientific notation and move the decimal point five places in the left side. The exponent will become five positive as the decimal point is moved to the left side. Hence, the given number $\text{506, 000}\text{cm}$ can be represent as $\text{5}\text{.06000}\times {\text{10}}^5\text{cm}$ in which all the zeros are significant

Conclusion

The given number $\text{506, 000}\text{cm}$ can be represent as $\text{5}\text{.06000}\times {\text{10}}^5\text{cm}$ in which all the zeros are significant