Do the 7/100 long division and tell if its terminating or repeating

To determine if \(\frac{7}{100}\) is a terminating or repeating decimal, we can perform the long division of 7 divided by 100.

### Long Division:

1.  **7.000 ÷ 100**:
    - 100 goes into 70 zero times, so we write 0 as the first digit of the quotient.
    - Bring down the 0 to make 70, which still isn't enough for 100.
    - Bring down another 0 to make 700.
    - 100 goes into 700 exactly 7 times.

So, \(\frac{7}{100} = 0.07\).

### Conclusion:
The decimal representation of \(\frac{7}{100}\) is 0.07, which terminates after two decimal places. Therefore, it is a **terminating decimal**.

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Would you like more details or have any questions? Here are 5 related questions:

1. How can you determine if a fraction will result in a terminating or repeating decimal without division?
2. What are some examples of repeating decimals?
3. Can you convert a repeating decimal back into a fraction?
4. What are the conditions for a fraction to have a terminating decimal?
5. How would you perform long division for more complex fractions?

**Tip:** A fraction will have a terminating decimal if its denominator, in its simplest form, only has 2 and/or 5 as prime factors.

Learn how to determine if the fraction 7/100 is a terminating or repeating decimal by performing long division. Understand the concept of terminating decimals and explore step-by-step instructions on the long division method. Suitable for students in Grades 4-6.

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