Introduction to Scientific Notation Practice — Grade 8 math

Lesson 5: Introduction to Scientific Notation — Practice Questions

1. Write the number 4,750,000 in scientific notation. The answer should be in the form $a \times 10^n$. ___
2. Which of the following correctly expresses 0.0068 in scientific notation?
- A. $6.8 \times 10^3$
- B. $6.8 \times 10^{-3}$
- C. $68 \times 10^{-4}$
- D. $6.8 \times 10^{-2}$
3. A certain type of bacteria has a width of approximately 0.0000035 meters. Express this width in scientific notation. ___
4. The population of a state is approximately 12,400,000. How is this number written in scientific notation?
- A. $1.24 \times 10^6$
- B. $12.4 \times 10^6$
- C. $1.24 \times 10^7$
- D. $1.24 \times 10^{-7}$
5. When the number 0.0000802 is written in scientific notation as $8.02 \times 10^n$, what is the integer value of $n$? ___
6. Which of the following numbers is correctly written in scientific notation?
- A. $14.2 \times 10^5$
- B. $0.88 \times 10^{-2}$
- C. $7.3 \times 10^8$
- D. $5 \times 100^3$
7. The approximate distance to the sun is 93,000,000 miles. Express this number in scientific notation: ___.
8. The width of a human hair is approximately 0.005 centimeters. How is this number written in scientific notation? ___
9. In scientific notation $a \times 10^n$, what does a positive integer exponent $n$ indicate about the original number?
- A. The original number is between 0 and 1.
- B. The original number is greater than or equal to 10.
- C. The original number is negative.
- D. The original number is a fraction.
10. A number is written in scientific notation as $3.14 \times 10^{-5}$. What is this number in standard decimal form? ___