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To solve , we will follow these steps:
Now, let's work through each step:
Step 1: Both numbers, 15.5 and 3.1, have one decimal place. To remove the decimal point, multiply both by 10:
Step 2: Perform the division , which simplifies to finding how many times 31 fits into 155:
Step 3: Verify the correctness by multiplying back:
, confirming that the division is accurate.
Therefore, the solution to the problem is .
Solve the following exercise:
Both 15.5 and 3.1 have one decimal place, so multiplying by 10 removes all decimals. This creates the equivalent problem , which is much easier to solve!
Always multiply by the highest power of 10 needed. For example, if you have 12.34 ÷ 5.6, multiply both by 100 (since 12.34 has 2 decimal places) to get 1234 ÷ 560.
Think: "How many times does 31 fit into 155?" Since exactly, the answer is 5. You can also use long division if needed.
Not always! In this problem we got 5, but many decimal divisions result in decimal answers. The key is following the same process regardless of the final answer type.
While calculators work, understanding this method helps you estimate answers and catch calculator errors. Plus, it builds number sense that's useful in algebra!
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