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To solve this problem, we'll follow these steps:
Step 1: Examine the given division .
Step 2: Adjust the division by removing the decimal.
Step 3: Divide and obtain the quotient.
Now, let's work through each step:
Step 1: We have , which we need to simplify.
Step 2: Consider as because we can shift the decimal to transform it, and similarly divide by (adding sufficient zeros).
Step 3: Perform the Division:
Calculate how many times fits into :
. This results in fitting in times into our transformed division , indicating quotient .
Therefore, the solution to the division is .
\( 0.26\times10= \)
Moving the decimal the same number of places in both dividend and divisor doesn't change the answer! It's like multiplying both by the same power of 10, which cancels out.
Count the decimal places in the more complex number. In this case, has 2 decimal places, so move both decimals 2 places right.
Always check by multiplying! If , then your division is correct.
Yes! But transforming decimals first makes the division much easier because you work with whole numbers instead of decimals throughout the process.
Remember the original decimal placement! Since 20.30 is smaller than 203, the answer must be less than 1, so 0.1 makes sense.
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