Problem

For what value of $a$ will $8 \times 10^{3}$ be 40 times larger than $a \times 10^{2}$ ?

Answer

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Answer

Final Answer: The value of a for which \(8 \times 10^{3}\) is 40 times larger than \(a \times 10^{2}\) is \(\boxed{2}\)

Steps

Step 1 ：Translate the problem into an equation: \(8 \times 10^{3} = 40 \times (a \times 10^{2})\)

Step 2 ：Solve the equation for a: \(a = \frac{8 \times 10^{3}}{40 \times 10^{2}}\)

Step 3 ：Simplify the equation to find the value of a: \(a = 2.0\)

Step 4 ：Final Answer: The value of a for which \(8 \times 10^{3}\) is 40 times larger than \(a \times 10^{2}\) is \(\boxed{2}\)

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