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To solve this problem, we need to find the value of in the equation:
Let's follow these steps:
Step 1: Recognize that is equivalent to dividing by 100.
Step 2: To isolate , we need to perform the inverse operation of dividing by 100, which is multiplying by 100.
Step 3: Multiply both sides of the equation by 100.
Step 4: Simplify the left-hand side to just , and calculate the right-hand side:
Thus, the value of that satisfies the equation is .
Accordingly, the correct answer is the choice ''.
\( \text{0}.07\times10= \)
Because we need to undo the division by 100! When x is divided by 100, the opposite (inverse) operation is to multiply by 100. This cancels out the division and leaves x alone.
Move the decimal point two places to the right! For 0.0244 × 100, move the decimal: 0.0244 → 02.44 → 2.44. Each zero in 100 moves the decimal one place right.
Think: "What was done to x?" If x was divided by something, then multiply to undo it. If x was multiplied by something, then divide to undo it. Always do the opposite operation!
Yes! Think of 2.44 ÷ 100 as moving the decimal point two places left: 2.44 → 0.244 → 0.0244. If this matches the original decimal, you're correct!
24.4 would mean (too big). 244 gives (way too big). 0.244 gives (too small).
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