# Appendix B - Questions for Appendix B - Conversion of Units for Physical Quantities - Page A.22: 8b

$5.62 \times 10^6 J$

#### Work Step by Step

Remember that when there is a squared term or cubed term in the units, we need to adjust for that. For example, it we are converting from $mm^2$ to $m^2$, we need to multiply by $10^{-6},$ not $10^{-3}$. Using this and our knowledge of units, we find: $5.62 \times 10^6 J$ To convert to scientific notation, move the decimal to the right or left, counting the number of times that you do so, until you get a number that is at least 1 but that is less than 10. If you moved the decimal right, the number of times the decimal is moved will be negative, while moving left yields a positive number. Then, raise 10 to that number. This gives: $5.62 \times 10^6 J$

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