Converting from standard form

To convert a number in standard form to an ordinary number, simply do the multiplication.

Examples

1.34 \times 10^3 is 1,340, since 1.34 \times 10 \times 10 \times 10 = 1,340.

4.78 \times 10^{-3} is 0.00478, as 4.78 \times 0.001 = 0.00478.

Question

Convert the following numbers in standard form to ordinary numbers:

  • 2.99 \times 10^7
  • 1.36 \times 10^{-7}
  • 2.99 \times 10^7 = 29,900,000
  • 1.36 \times 10^{-7} = 0.000000136

Examples

3.51 \times 10^5 = 351,000 because the 3 moves 5 places away from the units column. Two places are filled by 5 and 1. Put zeros in the other three places.

3.08 \times 10^{-4} = 0.000308 because the 3 moves 4 places away from the units column. Put zeros in the other 3 places. Focus on the 3, not the 8.

Question

What are the missing standard form measurements in the table below?

ExampleNumber (metres)Standard form
Height of a skyscraper300
Length of a virus0.0000003
Size of a galaxy300,000,000,000,000,000,000
Height of a mountain3,000
Nucleus of an atom0.00000000000003
ExampleNumber (metres)Standard form
Height of a skyscraper300 3 \times 10^2
Length of a virus0.0000003 3 \times 10^{-7}
Size of a galaxy300,000,000,000,000,000,000 3 \times 10^{20}
Height of a mountain3,000 3 \times 10^3
Nucleus of an atom0.00000000000003 3 \times 10^{-14}