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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert the problem to integer division.
Multiply both 10.9 and 2.5 by 10 to eliminate the decimals, yielding 109 and 25, respectively.
Step 2: Perform the division.
Divide 109 by 25. When dividing, you get 4 as the quotient and a remainder of 9. Therefore, 109 ÷ 25 = 4.36.
Step 3: Adjust for decimal placement.
Since we initially multiplied by 10, dividing by 25 effectively places the decimal in the correct position. Thus, 10.9 ÷ 2.5 = 4.36.
Therefore, the solution to the problem is .
Solve the following exercise:
Multiplying both numbers by the same amount keeps the division equal! Think of it like this: - the ratio stays the same, but now you're dividing whole numbers.
Count the maximum decimal places in either number. Here, both 10.9 and 2.5 have 1 decimal place, so multiply by . If one had 2 decimal places, you'd use 100.
That's normal! Continue dividing to get more decimal places, or round to the required precision. In this problem, exactly.
Yes! Moving the decimal point right is the same as multiplying by 10. Just remember to move it the same number of places in both numbers: 10.9 → 109 and 2.5 → 25.
Multiply your answer by the original divisor: . If you get 10.9, you're right! This backwards check always works for division problems.
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