# Significant Figures and Scientific Notation Test Questions

## Chemistry Test Questions

This is a collection of ten chemistry test questions with answers dealing with significant figures and scientific notation. The answers are at the bottom of the page.

Significant figures are used to keep track of uncertainty in measurements for experiments and calculations. They are a means of recording error. Scientific notation is used to express very large and very small numbers. This shorthand notation makes it easier to write numbers and also allows for accurate calculator operations.

### Question 1

How many significant figures are in the following values?
a. 4.02 x 10-9
b. 0.008320
c. 6 x 105
d. 100.0

### Question 2

How many significant figures are in the following values?
a. 1200.0
b. 8.00
c. 22.76 x 10-3
d. 731.2204

### Question 3

Which value has more significant figures?
2.63 x 10-6 or 0.0000026

### Question 4

Express 4,610,000 in scientific notation.
a. with 1 significant figure
b. with 2 significant figures
c. with 3 significant figures
d. with 5 significant figures

### Question 5

Express 0.0003711 in scientific notation.
a. with 1 significant figure
b. with 2 significant figures
c. with 3 significant figures
d. with 4 significant figures

### Question 6

Perform the calculation with the correct number of significant digits.
22.81 + 2.2457

### Question 7

Perform the calculation with the correct number of significant digits.
815.991 x 324.6

### Question 8

Perform the calculation with the correct number of significant digits.
3.2215 + 1.67 + 2.3

### Question 9

Perform the calculation with the correct number of significant digits.
8.442 - 8.429

### Question 10

Perform the calculation with the correct number of significant digits.
27/3.45

1. a. 3   b. 4   c. 1   d. 4
2. a. 5   b. 3   c. 4   d. 7
3. 2.63 x 10-6
4. a. 5 x 106   b. 4.5 x 106   c. 4.61 x 106   d. 4.6100 x 106
5. a. 4 x 10-4   b. 3.7 x 10-4   c. 3.71 x 10-4   d. 3.711 x 10-4
6. 25.06
7. 2.649 x 105
8. 7.2
9. 0.013
10. 7.8

### Tips for Solving Problems

For scientific notation problems, remember you can perform operations on the decimal number and the exponent separately and then bring the calculations together in your final answer. For significant figures, you may find it helpful to write a number in scientific notation. This is an easy to see whether digits are significant or not, particularly leading zeros.