Question

Scientific Notation Unit Test
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Question
For what value of a will 8×103 be 40 times larger than a×102?(1 point)

Answer 1

To find the value of \( a \) such that \( 8 \times 10^3 \) is 40 times larger than \( a \times 10^2 \), we can set up the equation:

\[
8 \times 10^3 = 40 \times (a \times 10^2)
\]

We can simplify the equation:

\[
8 \times 10^3 = 40a \times 10^2
\]

Next, divide both sides by \( 10^2 \):

\[
8 \times 10^{3-2} = 40a
\]

This simplifies to:

\[
8 \times 10^1 = 40a
\]

Now, calculate \( 8 \times 10^1 \):

\[
80 = 40a
\]

Next, we can divide both sides by 40 to solve for \( a \):

\[
a = \frac{80}{40} = 2
\]

Thus, the value of \( a \) is:

\[
\boxed{2}
\]