multiply and divide in scientific notation

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What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a coefficient and a power of 10, typically in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Tags

CCSS.8.EE.A.3

Front

How do you multiply numbers in scientific notation?

Back

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents.

Tags

CCSS.8.EE.A.4

Front

How do you divide numbers in scientific notation?

Back

When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents.

Tags

CCSS.8.EE.A.4

Front

What is the result of multiplying (3 x 10^4) by (2 x 10^2)?

Back

The result is 6 x 10^6.

Tags

CCSS.8.EE.A.4

Front

What is the result of dividing (5 x 10^8) by (1 x 10^3)?

Back

The result is 5 x 10^5.

Tags

CCSS.8.EE.A.4

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

Back

When adding numbers in scientific notation, you must first ensure the exponents are the same; then you add the coefficients.

Tags

CCSS.8.EE.A.4

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What is the result of adding (1.5 x 10^5) and (2.5 x 10^5)?

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The result is 4.0 x 10^5.

Tags

CCSS.8.EE.A.4

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What is the result of subtracting (9.0 x 10^7) from (1.2 x 10^8)?

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The result is 3.0 x 10^7.

Tags

CCSS.8.EE.A.4

Front

How do you convert a number from standard form to scientific notation?

Back

To convert a number from standard form to scientific notation, move the decimal point to create a coefficient between 1 and 10, and count the number of places moved to determine the exponent.

Tags

CCSS.8.EE.A.3

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates the power of 10 by which the coefficient is multiplied, determining the scale of the number.

Tags

CCSS.8.EE.A.3