The decimal representation of a fraction describes a value in the base-10 number system, expressing fractions as decimal places after a decimal point. Seven hundredths, expressed as 7/100, represents a value smaller than one. Converting seven hundredths to decimal involves dividing the numerator (7) by the denominator (100).
Decimal Representation of Seven Hundredths
To understand the decimal representation of seven hundredths, let’s break it down into smaller pieces:
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Hundredths: Hundredths are parts of a whole that have been divided into 100 equal parts. Each hundredth is represented by 1/100.
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Seven Hundredths: Seven hundredths means 7 hundredths. Since each hundredth is 1/100, seven hundredths can be written as:
7 hundredths = 7/100
Decimal Form:
To convert a fraction to decimal form, we divide the numerator by the denominator:
7 divided by 100 = 0.07
Therefore, the decimal representation of seven hundredths is 0.07.
Alternative Representations:
- Percentage: Seven hundredths can also be expressed as a percentage:
7 hundredths = 7/100 * 100% = 7%
- Table:
| Representation | Value |
|---|---|
| Fraction | 7/100 |
| Decimal | 0.07 |
| Percentage | 7% |
Question 1:
What is the decimal representation of seven hundredths?
Answer:
The decimal representation of seven hundredths is 0.07. Seven hundredths is equivalent to 7/100, which can be written as 0.07 in decimal form.
Question 2:
How can I write seven hundredths as a decimal?
Answer:
To write seven hundredths as a decimal, place a decimal point after the whole number and add two zeros. Then, write the numerator of the fraction (seven) as the digits after the decimal point. This gives you 0.07.
Question 3:
What is the place value of the digit 7 in the decimal representation of seven hundredths?
Answer:
The digit 7 in the decimal representation of seven hundredths (0.07) is in the hundredths place. The place value of a digit in a decimal number is determined by the number of places it is to the right of the decimal point. In this case, the 7 is two places to the right of the decimal point, so its place value is hundredths.
And that’s it! Seven hundredths is simply 0.07. Thanks for reading along, and be sure to stop by again soon for more math-related musings. Until next time, keep crunching those numbers!