Chapter 4, Problem 1R

Give the number of significant digits (the accuracy) of each measurement:

4.06 kg

To determine

The number of significant digits in $\text{4}\text{.06 kg}$.

Answer to Problem 1R

Solution:

The number of significant digits in $\text{4}\text{.06 kg}$ are 3.

Explanation of Solution

Given Information:

The provided measurement $\text{4}\text{.06 kg}$.

Consider the following measurement:

$\text{4}\text{.06 kg}$

According to the rules of the number of significant digits, every non-zero digits in a measurement is significant and the zeros between significant digits are significant.

Also in a decimal number, zeros to the right of decimal are significant. While if number is less than one, so all the zeros to the left to decimal point are not significant.

Count the number of significant digits from left to right that is from 4 to 6. Since, zeros between significant digits are significant, so zeros between 4 and 6 are also significant.

Thus there are 3 significant digits in measurement $\text{4}\text{.06 g}$ according to the rule, zeroes between significant digits are significant.

Therefore, $\text{4}\text{.06 kg}$ have 3 significant digits.