Solving Problems Using Scientific Notation Practice — Grade 8 math

Lesson 46: Solving Problems Using Scientific Notation — Practice Questions

1. A computation gives the value $250 \times 10^5$. When written in proper scientific notation, the expression becomes $2.5 \times 10^{\text{\_\_\_}}$.
2. A scientist measures a particle's diameter as $0.0081 \times 10^9$ meters. How is this measurement correctly expressed in scientific notation?
- A. $8.1 \times 10^{12}$
- B. $8.1 \times 10^7$
- C. $8.1 \times 10^6$
- D. $0.81 \times 10^8$
3. A number is written as $0.42 \times 10^{-3}$. To express this in proper scientific notation, it is written as $4.2 \times 10^k$. The value of $k$ is ___.
4. Which of the following numbers is NOT written in proper scientific notation?
- A. $1.0 \times 10^5$
- B. $9.9 \times 10^{-2}$
- C. $12.3 \times 10^4$
- D. $5.67 \times 10^8$
5. To write $67.8 \times 10^7$ in proper scientific notation, the decimal point in the coefficient is moved. The resulting expression is ___ $\times 10^8$.
6. Calculate the product of $(2.1 \times 10^3)$ and $(4.0 \times 10^5)$. Write the answer in proper scientific notation. The result is ___.
7. What is the product of $(6.0 \times 10^4)$ and $(5.0 \times 10^2)$ expressed in proper scientific notation?
- A. $30.0 \times 10^6$
- B. $3.0 \times 10^8$
- C. $3.0 \times 10^7$
- D. $11.0 \times 10^6$
8. Calculate the product of $(4.5 \times 10^7)$ and $(4.0 \times 10^5)$. Express the answer in proper scientific notation. The answer is ___.
9. After multiplying two numbers in scientific notation, when must you adjust the resulting expression to maintain proper form?
- A. When the new exponent is an odd number.
- B. When the new coefficient is 10 or greater.
- C. When the new coefficient is less than 1.
- D. The result never needs to be adjusted.
10. Using the rule for division, calculate the value of $\frac{9.6 \times 10^9}{3.0 \times 10^2}$. The answer is ___.