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To solve the division of decimals , follow these tried and true steps:
**Step 1:** Multiply both the dividend and the divisor by 10 to remove the decimal points. This transforms the problem into an equivalent with whole numbers: .
**Step 2:** Perform the division of the resulting whole numbers: .
**Step 3:** Thus, the answer to the original division problem is .
Therefore, the solution to the problem is .
Solve the following exercise:
Multiplying both numbers by the same amount keeps the division equivalent! Think of it like this: . The value stays the same.
Multiply by the highest power of 10 needed! For example, with 0.25 ÷ 0.3, multiply both by 100 to get 25 ÷ 30, since 0.25 has two decimal places.
Yes! Moving decimal points is the same as multiplying by powers of 10. Just make sure you move the same number of places in both numbers.
Use multiplication to check: multiply your answer by the divisor. For , check that ✓
That's normal! Some decimal divisions give repeating decimals or long decimal answers. Round to a reasonable number of decimal places as needed.
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