4.3 Scientific Notation & Compare!

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What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Tags

CCSS.8.EE.A.3

Front

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

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When comparing two scientific notations with the same exponent, the larger number is determined by the base number.

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CCSS.8.EE.A.4

Front

What is the smallest number among the following in scientific notation: 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, 8.4 x 10^19?

Back

The smallest number is 8.4 x 10^19.

Tags

CCSS.8.EE.A.3

Front

What is the correct scientific notation for the number 20350?

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The correct scientific notation is 2.035 x 10^4.

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CCSS.8.EE.A.3

Front

How do you determine the greatest number among scientific notations?

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To determine the greatest number among scientific notations, compare the base numbers if the exponents are the same; otherwise, compare the exponents.

Tags

CCSS.8.EE.A.3

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates the power of ten by which the base number is multiplied, determining the scale of the number.

Tags

CCSS.8.EE.A.3

Front

What is the range of the base number in scientific notation?

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The base number in scientific notation must be between 1 and 10 (1 ≤ a < 10).

Tags

CCSS.8.EE.A.3

Front

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

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To convert a number to scientific notation, move the decimal point to create a new number 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 scientific notation for the number 0.00045?

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The scientific notation for 0.00045 is 4.5 x 10^-4.

Tags

CCSS.8.EE.A.3

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How do you add or subtract numbers in scientific notation?

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To add or subtract numbers in scientific notation, they must have the same exponent. If they do not, convert them to the same exponent before performing the operation.

Tags

CCSS.8.EE.A.4