Performing calculations with very big or small numbers can be difficult. Such calculations, for example those related to space, can be made easier by converting numbers in and out of 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 decimals:
\(2.99 \times 10^7\)
\(1.36 \times 10^{-7}\)
\(2.99 \times 10^7 = 29,900,000\)
\(1.36 \times 10^{-7} = 0.000000136\)
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 3 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?
