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Answer :
To solve the equation [tex]\( ? \times 10^2 = 625,000 \)[/tex], we'll follow these steps:
1. Identify the target value: We need to find the number that, when multiplied by [tex]\( 10^2 \)[/tex] (which equals 100), gives 625,000.
2. Set up the equation: Let's use [tex]\( x \)[/tex] to represent the unknown number.
[tex]\[
x \times 10^2 = 625,000
\][/tex]
3. Rewrite [tex]\( 10^2 \)[/tex]: Recognize that [tex]\( 10^2 \)[/tex] is 100. So, the equation updates to:
[tex]\[
x \times 100 = 625,000
\][/tex]
4. Isolate [tex]\( x \)[/tex]: To find [tex]\( x \)[/tex], we need to divide both sides of the equation by 100.
[tex]\[
x = \frac{625,000}{100}
\][/tex]
5. Perform the division: When we divide 625,000 by 100, we get:
[tex]\[
x = 6250
\][/tex]
Therefore, the solution to the equation [tex]\( ? \times 10^2 = 625,000 \)[/tex] is:
[tex]\[
x = 6250
\][/tex]
So, [tex]\( 6250 \times 10^2 = 625,000 \)[/tex].
1. Identify the target value: We need to find the number that, when multiplied by [tex]\( 10^2 \)[/tex] (which equals 100), gives 625,000.
2. Set up the equation: Let's use [tex]\( x \)[/tex] to represent the unknown number.
[tex]\[
x \times 10^2 = 625,000
\][/tex]
3. Rewrite [tex]\( 10^2 \)[/tex]: Recognize that [tex]\( 10^2 \)[/tex] is 100. So, the equation updates to:
[tex]\[
x \times 100 = 625,000
\][/tex]
4. Isolate [tex]\( x \)[/tex]: To find [tex]\( x \)[/tex], we need to divide both sides of the equation by 100.
[tex]\[
x = \frac{625,000}{100}
\][/tex]
5. Perform the division: When we divide 625,000 by 100, we get:
[tex]\[
x = 6250
\][/tex]
Therefore, the solution to the equation [tex]\( ? \times 10^2 = 625,000 \)[/tex] is:
[tex]\[
x = 6250
\][/tex]
So, [tex]\( 6250 \times 10^2 = 625,000 \)[/tex].
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