for what value of a will 8x10^3 be 40 times larger than ax10^4
To find the value of a, we can set up an equation based on the given information:
8x10^3 = 40(ax10^4)
First, simplify the equation on the right side by multiplying 40a and 10^4:
8x10^3 = 400ax10^4
Next, divide both sides of the equation by 10^3:
8 = 400a
Finally, solve for a by dividing both sides by 400:
a = 8/400
a = 0.02
Therefore, the value of a is 0.02.
To find the value of "a" that makes 8x10^3 equal to 40 times larger than ax10^4, we can set up the following equation:
8x10^3 = 40(ax10^4)
To solve for "a", let's first simplify the equation by cancelling out the common term of 10^3:
8 = 40ax10^(4-3)
8 = 40ax10^1
Next, divide both sides of the equation by 40 and simplify further:
8/40 = ax10^1
1/5 = ax10^1
Now, we can cancel out the common term of 10^1 by dividing both sides of the equation by 10:
1/5 = a
Therefore, the value of "a" that makes 8x10^3 be 40 times larger than ax10^4 is 1/5.
To find the value of "a" that will make 8x10^3 40 times larger than ax10^4, we can set up an equation.
The value 8x10^3 represents 8 multiplied by 10^3, which is 8,000. Similarly, the value ax10^4 represents a multiplied by 10^4.
Let's set up the equation:
8x10^3 = (a x 10^4) + (40 x ax10^4)
To simplify the equation, we can first distribute the 40 to ax10^4:
8x10^3 = ax10^4 + (40 x ax10^4)
To distribute, we multiply 40 by a, which gives us:
8x10^3 = ax10^4 + 40ax10^4
Now, let's combine like terms by adding the two terms on the right side of the equation:
8x10^3 = (1 + 40a) x 10^4
To further simplify, we can divide both sides of the equation by 10^4:
8 / 10^3 = (1 + 40a)
On the left side, 8 divided by 10^3 is equal to 0.008:
0.008 = 1 + 40a
Next, we can subtract 1 from both sides of the equation:
0.008 - 1 = 1 + 40a - 1
Simplifying both sides gives us:
-0.992 = 40a
Finally, divide both sides by 40 to solve for "a":
-0.992 / 40 = 40a / 40
Simplifying further:
-0.0248 = a
Therefore, the value of "a" that will make 8x10^3 40 times larger than ax10^4 is -0.0248.