1/2 Operations in Scientific Notation

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What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., 4.5 × 10^3.

Tags

CCSS.8.EE.A.3

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How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (2 × 10^3) × (3 × 10^4) = 6 × 10^(3+4) = 6 × 10^7.

Tags

CCSS.8.EE.A.4

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. Example: (8 × 10^5) ÷ (2 × 10^2) = 4 × 10^(5-2) = 4 × 10^3.

Tags

CCSS.8.EE.A.4

Front

What do you do to your exponents when you are adding in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. Example: 2 × 10^3 + 3 × 10^3 = (2+3) × 10^3 = 5 × 10^3.

Tags

CCSS.8.EE.A.4

Front

Back

1.1 × 10^6.

Tags

CCSS.8.EE.A.4

Front

Back

5.91 × 10^6.

Tags

CCSS.8.EE.A.4

Front

What is the rule for adding numbers in scientific notation?

Back

Ensure the exponents are the same, then add the coefficients.

Tags

CCSS.8.EE.A.4

Front

What is the rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Tags

CCSS.8.EE.A.4

Front

What is the rule for dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Tags

CCSS.8.EE.A.4

Front

Back

3.75 × 10^2.

Tags

CCSS.8.EE.A.4