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Sagot :
Let's analyze April's approach to dividing [tex]\( 1.5 \)[/tex] by [tex]\( 0.12 \)[/tex]:
### Step-by-Step Calculation
1. Understand the problem:
We are asked to divide [tex]\( 1.5 \)[/tex] by [tex]\( 0.12 \)[/tex].
2. Set up the division:
The calculation can be written as:
[tex]\[ 1.5 \div 0.12 \][/tex]
3. Eliminate the decimal places:
To make the division easier, we can eliminate the decimals.
- Multiply both the numerator (1.5) and the denominator (0.12) by [tex]\( 100 \)[/tex] to convert them to whole numbers:
[tex]\[ \frac{1.5 \times 100}{0.12 \times 100} = \frac{150}{12} \][/tex]
4. Perform the division:
- Now, divide 150 by 12:
[tex]\[ 150 \div 12 = 12.5 \][/tex]
So, the result is [tex]\( 12.5 \)[/tex].
### Verification
From this step-by-step calculation, we have verified that the division [tex]\( 1.5 \div 0.12 \)[/tex] correctly simplifies to [tex]\( 12.5 \)[/tex].
Thus, if April followed these steps correctly and obtained [tex]\( 12.5 \)[/tex] as the result, her work is accurate. There's no mistake in the order of operations or her setup.
If we consider the presentation in the problem where Step 1 through Step 4 are listed:
- It seems however that there might be a misunderstanding or confusion regarding the steps written, potentially involving intermediate steps that aren't conventional in this context.
### Conclusion
April did not actually make a mistake in her calculations if she correctly identified the final result as [tex]\( 12.5 \)[/tex]. All of her work leading to this is correct.
### Step-by-Step Calculation
1. Understand the problem:
We are asked to divide [tex]\( 1.5 \)[/tex] by [tex]\( 0.12 \)[/tex].
2. Set up the division:
The calculation can be written as:
[tex]\[ 1.5 \div 0.12 \][/tex]
3. Eliminate the decimal places:
To make the division easier, we can eliminate the decimals.
- Multiply both the numerator (1.5) and the denominator (0.12) by [tex]\( 100 \)[/tex] to convert them to whole numbers:
[tex]\[ \frac{1.5 \times 100}{0.12 \times 100} = \frac{150}{12} \][/tex]
4. Perform the division:
- Now, divide 150 by 12:
[tex]\[ 150 \div 12 = 12.5 \][/tex]
So, the result is [tex]\( 12.5 \)[/tex].
### Verification
From this step-by-step calculation, we have verified that the division [tex]\( 1.5 \div 0.12 \)[/tex] correctly simplifies to [tex]\( 12.5 \)[/tex].
Thus, if April followed these steps correctly and obtained [tex]\( 12.5 \)[/tex] as the result, her work is accurate. There's no mistake in the order of operations or her setup.
If we consider the presentation in the problem where Step 1 through Step 4 are listed:
- It seems however that there might be a misunderstanding or confusion regarding the steps written, potentially involving intermediate steps that aren't conventional in this context.
### Conclusion
April did not actually make a mistake in her calculations if she correctly identified the final result as [tex]\( 12.5 \)[/tex]. All of her work leading to this is correct.
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