Scientific Notation Practice

Front

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 written as a product of a number (between 1 and 10) and a power of 10.

Front

How do you convert a large number to scientific notation?

Back

To convert a large number to scientific notation, move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places you moved the decimal; this will be the exponent of 10.

Front

Convert 34,060,000 to scientific notation.

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34,060,000 = 3.406 × 10^7.

Front

What is the exponent in scientific notation for the number 0.000295?

Back

The exponent for 0.000295 in scientific notation is -4, so it is written as 2.95 × 10^-4.

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Is 0.00567 written in scientific notation?

Back

No, 0.00567 is not in scientific notation. It should be written as 5.67 × 10^-3.

Front

What is the purpose of scientific notation?

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The purpose of scientific notation is to simplify the representation of very large or very small numbers, making them easier to read, write, and calculate.

Front

Convert 0.000045 to scientific notation.

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0.000045 = 4.5 × 10^-5.

Front

What is the scientific notation for 1,000,000?

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1,000,000 = 1 × 10^6.

Front

How do you determine if a number is in scientific notation?

Back

A number is in scientific notation if it is expressed as a product of a number between 1 and 10 and a power of 10.

Front

Convert 0.000000123 to scientific notation.

Back

0.000000123 = 1.23 × 10^-7.