Solve Division Expression: 38.8 ÷ 38.8

Division with Identical Decimal Numbers

Solve the following expression:

38.838.8= \frac{38.8}{38.8}=

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Step-by-step written solution

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1

Understand the problem

Solve the following expression:

38.838.8= \frac{38.8}{38.8}=

2

Step-by-step solution

First we will divide the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is 38.8.

Then, we will divide the fraction as follows:

38.8:38.838.8:38.8=11=1 \frac{38.8:38.8}{38.8:38.8}=\frac{1}{1}=1

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • Identity Property: Any non-zero number divided by itself equals 1
  • Technique: Recognize 38.838.8=11=1 \frac{38.8}{38.8} = \frac{1}{1} = 1 immediately
  • Check: Verify 38.8 × 1 = 38.8 matches original numerator ✓

Common Mistakes

Avoid these frequent errors
  • Trying to perform long division unnecessarily
    Don't calculate 38.8 ÷ 38.8 using division algorithms = waste of time and potential errors! Students often don't recognize this fundamental property. Always remember any number divided by itself equals 1.

Practice Quiz

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Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why is 38.8 ÷ 38.8 equal to 1?

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This follows the identity property of division! When any non-zero number is divided by itself, the result is always 1. Think of it this way: how many groups of 38.8 fit into 38.8? Exactly one group!

Does this work for all decimal numbers?

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Yes! Whether it's 5.7 ÷ 5.7, 123.456 ÷ 123.456, or any other decimal, the answer is always 1 when you divide a number by itself (as long as it's not zero).

What about negative decimals like -38.8 ÷ -38.8?

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Still equals 1! When you divide a negative number by the same negative number, you get positive 1. Remember: negative ÷ negative = positive.

Can I simplify this fraction first?

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You could, but it's unnecessary! Since the numerator and denominator are identical, you can immediately recognize the answer is 1 without any calculations.

What if the question was 38.8 ÷ 0?

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That would be undefined! Division by zero is never allowed in mathematics. But 38.8 ÷ 38.8 is perfectly fine since we're not dividing by zero.

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