Question

question 5 of 10
report the following values to the specified number of significant figures.
value\tnumber of significant figures
0.001\t3
98289\t2
1.25829\t3
0.0539\t2
2.9\t4

0.001 reported to 3 significant figures:

98289 reported to 2 significant figures:\t×10

1.25829 reported to 3 significant figures:

0.0539 reported to 2 significant figures:

2.9 reported to 4 significant figures:

Explanation:

0.001 reported to 3 significant figures:

Step1: Identify significant figures rule

Leading zeros are not significant. We need 3 significant figures, so we add zeros after the non - zero digit.
The number 0.001 has 1 significant figure. To get 3, we write it as $0.00100$ (the trailing zeros after the non - zero digit are significant in this context as we are specifying the number of significant figures).

Step1: Round to two significant figures

The first two significant figures are 9 and 8. The next digit is 2, which is less than 5, but wait, actually, when rounding 98289 to two significant figures, we look at the first two digits 9 and 8, and then consider the third digit. Since 98289 is a large number, we can express it in scientific notation. $98289\approx9.8\times 10^{4}$ (because the third digit is 2, which is less than 5, so we keep 9 and 8 as they are and multiply by $10^{4}$).

Step1: Identify the third significant figure

The first three significant figures are 1, 2, and 5. The next digit is 8, which is greater than 5. So we round up the third significant figure.
$1.25829\approx1.26$ (when rounding to three significant figures, we look at the fourth digit to decide. The fourth digit 8 is greater than 5, so we add 1 to the third digit 5, making it 6).

Answer:

$0.00100$

98289 reported to 2 significant figures: