Adding and Subtracting Scientific Notation Exit Ticket

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., a x 10^n.

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How do you add numbers in scientific notation with the same exponent?

Back

Add the coefficients and keep the exponent the same. For example, (2.6 x 10^6) + (4.2 x 10^6) = (2.6 + 4.2) x 10^6 = 6.8 x 10^6.

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How do you add numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before adding. For example, (4.3 x 10^10) + (8.7 x 10^8) requires converting 8.7 x 10^8 to 0.087 x 10^10.

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How do you subtract numbers in scientific notation with the same exponent?

Back

Subtract the coefficients and keep the exponent the same. For example, (9.87 x 10^7) - (7.42 x 10^7) = (9.87 - 7.42) x 10^7 = 2.45 x 10^7.

Front

How do you subtract numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before subtracting. For example, (8.7 x 10^9) - (2.5 x 10^7) requires converting 2.5 x 10^7 to 0.00025 x 10^9.

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What is the result of (4.3 x 10^10) - (8.7 x 10^8)?

Back

4.213 x 10^10.

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What is the result of (2.6 x 10^6) + (4.2 x 10^6)?

Back

6.8 x 10^6.

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What is the result of (4.8 x 10^8) + (5.4 x 10^8)?

Back

1.02 x 10^9.

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What is the result of (8.7 x 10^9) - (2.5 x 10^7)?

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8.675 x 10^9.

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What is the result of (9.87 x 10^7) - (7.42 x 10^7)?

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2.45 x 10^7.