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  2. 12th grade
  3. Geometry
  4. Exercise : Write a number in scientific notation

Write a number in scientific notation Geometry

The speed of light is approximately 186,000 mi/s.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

186\ 000 = 1.86 \times 10^b

Since there are 5 digits behind the leading digit, we can conclude that:

186\ 000 = 1.86 \times 10^5

The scientific notation of 186,000 mi/s is 1.86\times10^5 mi/s.

An adult human has approximately 27,000,000,000,000 red blood cells.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

27{,}000{,}000{,}000{,}000 = 2.7 \times 10^{b}

Since there are 13 digits behind the leading digit, we can conclude that:

27{,}000{,}000{,}000{,}000 = 2.7 \times 10^{13}

The scientific notation of 27,000,000,000,000 is 2.7\times10^{13}.

The distance between the earth and the moon is 238,900 mi.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

238\ 900 = 2.389 \times 10^b

Since there are 5 digits behind the leading digit, we can conclude that:

238\ 900 = 2.389 \times 10^5

The scientific notation of 238 900 mi is 238\ 900 = 2.389 \times 10^5 mi.

The diameter of a specific virus is 0.000,000,25 m.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

0.000{,}000{,}25 = 2.5 \times 10^b

For very small numbers, count how many positions the decimal point moves to the right.

The decimal point has moved seven positions and b = -7.

The scientific notation of 0.00000025 m is 2.5\times10^{-7} m.

The thickness of a piece of paper is 0.00016 m.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

0.16= 1.6 \times 10^b

For very small numbers, count how many positions the decimal point moves to the right.

The decimal point has moved four positions, therefore b = -4.

0.16 = 1.6 \times 10^{-4}

The scientific notation of 0.00016 m is 1.6\times10^{-4} m.

The current world population is approximately 7,200,000,000.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

7\ 200\ 000\ 000 = 7.2\times 10^b

Since there are 9 digits behind the leading digit, we can conclude that b = 9.

The scientific notation of 7,200,000,000 is 7.2 \times10^9.

Length of a bacterium is 0.00004 in.

Write this number in scientific notation.

The scientific notation of a number is written as a \times 10^b, where b is a positive integer and 0 \lt a \le 1.

Here:

0.4= 4 \times 10^b

For very small numbers, we can count how many positions the decimal point moves.

The decimal point has moved five positions, therefore b = -5.

0.4 = 4 \times 10^{-5}

The scientific notation of 0.00004 in is 4 \times 10^{-5} in.

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See also
  • Course : Measurement, dimensions and scientific notation
  • Exercise : Convert between different units
  • Exercise : Determine the percent error of a measurement
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