Calculate and solve problems with scientific notation

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   (3 × 2) × (10^4 × 10^5). Multiply the first parts; join the strips of tens. Ari's worksheet asks for (3 × 10^4) × (2 × 10^5), with the parts grouped. What is the product in scientific notation?

   6 × 10^9
2. 2.

   (2 × 4) × (10^6 × 10^3). Multiply the first parts; join the strips of tens. Bo's worksheet asks for (2 × 10^6) × (4 × 10^3), with the parts grouped. What is the product in scientific notation?

   8 × 10^9
3. 3.

   In math club, Jun multiplies (2 × 10^3) × (4 × 10^2). What is the product in scientific notation?

   8 × 10^5
4. 4.

   In math club, Kira multiplies (1.2 × 10^5) × (4 × 10^3). What is the product in scientific notation?

   4.8 × 10^8
5. 5.

   In math club, Luz multiplies (3 × 10^2) × (3 × 10^6). What is the product in scientific notation?

   9 × 10^8
6. 6.

   In math club, Noah divides (8 × 10^10) ÷ (2 × 10^5). What is the quotient in scientific notation?

   4 × 10^5
7. 7.

   In math club, Pia divides (6 × 10^9) ÷ (2 × 10^3). What is the quotient in scientific notation?

   3 × 10^6
8. 8.

   Two libraries hold 2.1 × 10^5 and 3.4 × 10^5 books. Ren adds them. What is the total in scientific notation?

   5.5 × 10^5
9. 9.

   Two forests have 4.2 × 10^6 and 1.5 × 10^6 trees. Tala adds them. What is the total in scientific notation?

   5.7 × 10^6
10. 10.

    Two towns have 3.3 × 10^4 and 2.4 × 10^4 people. Zee adds them. What is the total in scientific notation?

    5.7 × 10^4