Question

For what value of 'a' will 8×10³ be 40 times larger than a×10²?

a) 200
b) 20
c) 2
d) 0.2

Answer 1

The value of 'a' that makes 8×10³ 40 times larger than a×10² is 2.

Step-by-step explanation:

To find the value of 'a' when 8×10³ is 40 times larger than a×10², we can set up an equation:

8×10³ = 40(a×10²)

First, simplify the right side of the equation: 40(a×10²) = 40×a×10² = 40a×10².

Now, divide both sides of the equation by 10² to isolate 'a':

8×10³ ÷ 10² = 40a×10² ÷ 10²

80 = 40a

Finally, divide both sides of the equation by 40 to solve for 'a':

80 ÷ 40 = 40a ÷ 40

a = 2

Therefore, the value of 'a' that makes 8×10³ 40 times larger than a×10² is 2.