Decimal in the thousandths place
7.508 in Words
7.508 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
7.508 in words is seven point five zero eight.
7.508 Place-Value Breakdown
The digits 7 form the whole-number part, while 5 in the tenth place, 0 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 7 | ones | 7 |
| Decimal part | 5 | tenth | 5/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 7.508?
7.508 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 7.508
7.508 = 7 + 5/10 + 8/1000
7.508 = 7 + 508/1000
7.508 = 7 127/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 7.508 Simplifies to 1877/250
7.508 = 7508/1000
The greatest common divisor of 7508 and 1000 is 4.
7508 ÷ 4 = 1877
1000 ÷ 4 = 250
Therefore, 7508/1000 = 1877/250.
As a mixed fraction, the value is 7 127/250.
7.508 as a Percentage
To convert 7.508 to a percentage, multiply it by 100.
7.508 × 100 = 750.8
Therefore, 7.508 = 750.8%.
Decimals Equivalent to 7.508
7.508 = 7.5080 = 7.50800
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 7.508 | thousandths | 7508/1000 | 1877/250 |
| 7.5080 | ten-thousandths | 75080/10000 | 1877/250 |
| 7.50800 | hundred-thousandths | 750800/100000 | 1877/250 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 7 with the fractional part 508/1000. In place-value words, "and" marks that boundary.
7.508 on a Number Line
7.508 lies between 7 and 8. It is 0.492 below 8 and 0.508 above 7.
7.508 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.7508 | zero point seven five zero eight | seven thousand five hundred eight ten-thousandths | 1877/2500 | 75.08% | ten times smaller than 7.508 |
| 7.508 | seven point five zero eight | seven and five hundred eight thousandths | 1877/250 | 750.8% | current value |
| 7.5080 | seven point five zero eight zero | seven and five thousand eighty ten-thousandths | 1877/250 | 750.8% | same numerical value, written to the ten-thousandths place |
| 75.08 | seventy-five point zero eight | seventy-five and eight hundredths | 1877/25 | 7508% | ten times larger than 7.508 |
Quick Practice
How is 7.508 read digit by digit?
Seven point five zero eight.
What is the place-value word form of 7.508?
Seven and five hundred eight thousandths.
What fraction is 7.508 in lowest terms?
1877/250.
What percentage is equal to 7.508?
750.8%.
What is 7.508 as a mixed fraction?
7 127/250.
Between which whole numbers does 7.508 lie?
Between 7 and 8.
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Frequently Asked Questions
How do you write 7.508 in words?
7.508 in words is seven point five zero eight.
Why is 7.508 called seven and five hundred eight thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as seven and five hundred eight thousandths.
What fraction is 7.508?
7.508 is 7508/1000 exactly and 1877/250 in lowest terms.
Can 7508/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 1877/250.
What percentage is 7.508?
7.508 is equal to 750.8%.
Is 7.508 the same as 7.5080?
Yes. 7.508 and 7.5080 have the same numerical value. However, 7.508 is written to the thousandths place, while 7.5080 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 7.508 larger than 0.7508?
Yes. 7.508 is ten times as large as 0.7508.
What type of decimal is 7.508?
7.508 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents seven and five hundred eight thousandths.