For what value of a

Question

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:

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

First, simplify the right-hand side:

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

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

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

This simplifies to:

\[ 8 \times 10 = 40a \]

or

\[ 80 = 40a \]

Now, divide both sides by 40:

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

Thus, the value of \( a \) is \( \boxed{2} \).