When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?

1 answer:

34kurt4 years ago

8 0

For the sake of example, let's multiply the two numbers $2.3 \times 10^5$ and $3.5 \times 10^7$ together. Altogether, we have:

$2.3\times10^5\times3.5\times10^7$

Rearranging the expression, we can group the exponents and coefficients together:

$2.3\times3.5\times10^5\times10^7$

Multiplying each out, we notice that since $10^5$ and $10^7$ have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

$2.3\times3.5\times10^{5+7}=8.05\times10^{12}$

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and adding its exponents.

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Step-by-step explanation:

For a constant acceleration: $v_{f}=v_{0}+at$ , where $v_{f}$ is the final velocity in a direction after the acceleration is applied, $v_{0}$ is the initial velocity in that direction before the acceleration is applied, a is the acceleration applied in such direction, and t is the amount of time during where that acceleration was applied.
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