Operations with Scientific Notation Worksheet

📝 Worksheet hard ⏱️ 20 minutes 8 problems

Name:

Date:

Directions

1. (2 x 10^3)(4 x 10^2) = __.

2. Which sum is set up correctly for addition?

A 3.2 x 10^6 + 0.45 x 10^6 B 3.2 x 10^6 + 4.5 x 10^5 without rewriting C 3.2 + 4.5 x 10^11

3. Match the operation rule to the idea: multiplication in scientific notation

Match with:

A multiply coefficients and combine the powers of ten B always add standard forms first C move the decimal and ignore the factors

Answer:

4. 24 x 10^4 rewritten in correct scientific notation is __.

5. Why should students normalize an answer like 18 x 10^6?

6. Which expression represents a quantity 100 times as large as 3 x 10^4?

A 3 x 10^6 B 3 x 10^2 C 3 x 10^5

7. (9 x 10^7) ÷ (3 x 10^2) = __.

8. Why is estimation useful when working with scientific notation in context?

📋 Teacher Answer Key

1. 8 x 10^5

2. 3.2 x 10^6 + 0.45 x 10^6

3. multiply coefficients and combine the powers of ten

4. 2.4 x 10^5

5. because scientific notation requires a coefficient between one and ten so the result should be rewritten in standard scientific form

6. 3 x 10^6

7. 3 x 10^5

8. it helps check whether the exponent direction and the size of the result make sense for the situation

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