To convert a number in standard formA system in which numbers are written as a number greater than 1 and less than 10 multiplied by a power of 10 which may be positive or negative. 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
Write the following as ordinary numbers:
\(2.99 \times 10^7\)
\(1.36 \times 10^{-7}\)
\(2.99 \times 10^7 = 29,900,000\)
\(1.36 \times 10^{-7} = 0.000000136\)
This process can also be sped up by considering where the first digit is compared to the units column.
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
Complete the table with the measurements in standard form.