For what value of a will 8×10^3 be 40 times larger than a×10^2 ?
We can set up the equation:
8×10^3 = 40(a×10^2)
To solve for a, we divide both sides of the equation by 40:
(8×10^3)/40 = (40(a×10^2))/40
200 = a×10^2
To solve for a, we divide both sides of the equation by 10^2:
200/(10^2) = (a×10^2)/(10^2)
2 = a
Therefore, the value of a is 2.
To find the value of a, we need to set up an equation based on the given information.
We know that 8×10^3 is 40 times larger than a×10^2.
Mathematically, we can write this as:
8×10^3 = 40(a×10^2)
Now, let's simplify the equation:
8×10^3 = 40a×10^2
Now, let's simplify the powers of 10:
8×10^3 = 40a×(10^2)
8×10^3 = 40a×10^2
8×10^3 = 40a×100
8×10^3 = 4000a
Now, let's solve for a:
Divide both sides of the equation by 4000:
(8×10^3) / 4000 = a
8000/4000 = a
2 = a
Therefore, for the value of a, the answer is 2.
To find the value of "a" that satisfies the given condition, we can set up an equation based on the problem statement:
8 × 10^3 = 40 × (a × 10^2)
Now, let's simplify and solve this equation step by step:
We can first divide both sides of the equation by 40 to eliminate that factor:
(8 × 10^3) ÷ 40 = a × 10^2
Now, let's simplify the left side of the equation:
8 × 10^3 ÷ 40 = 200
The equation now becomes:
200 = a × 10^2
To get the value of "a," we need to isolate it on one side of the equation. Dividing both sides of the equation by 10^2 will help us achieve that:
200 ÷ 10^2 = a
200 ÷ 100 = a
2 = a
Therefore, the value of "a" that satisfies the given condition is 2.