Decimal in the thousandths place
0.488 in Words
0.488 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.488 in words is zero point four eight eight.
0.488 Place-Value Breakdown
The decimal digits place 4 in the tenth place, 8 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.488?
0.488 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.488
0.488 = 4/10 + 8/100 + 8/1000
0.488 = 0 + 488/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.488 Simplifies to 61/125
0.488 = 488/1000
The greatest common divisor of 488 and 1000 is 8.
488 ÷ 8 = 61
1000 ÷ 8 = 125
Therefore, 488/1000 = 61/125.
0.488 as a Percentage
To convert 0.488 to a percentage, multiply it by 100.
0.488 × 100 = 48.8
Therefore, 0.488 = 48.8%.
Decimals Equivalent to 0.488
0.488 = 0.4880 = 0.48800
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 |
|---|---|---|---|
| 0.488 | thousandths | 488/1000 | 61/125 |
| 0.4880 | ten-thousandths | 4880/10000 | 61/125 |
| 0.48800 | hundred-thousandths | 48800/100000 | 61/125 |
Visual Model of 0.488
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.488 on a Number Line
0.488 lies between 0.487 and 0.489. It is 0.512 below 1 and 0.488 above 0.
On a number line from 0 to 1, it appears 48.8% of the way from 0 to 1.
How Far Is 0.488 from 1?
1 − 0.488 = 0.512
1 − 61/125 = 64/125
0.488 is five hundred twelve thousandths below 1. The remaining part is 512/1000 = 64/125 = 51.2%.
0.488 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0488 | zero point zero four eight eight | four hundred eighty-eight ten-thousandths | 61/1250 | 4.88% | ten times smaller than 0.488 |
| 0.488 | zero point four eight eight | four hundred eighty-eight thousandths | 61/125 | 48.8% | current value |
| 0.4880 | zero point four eight eight zero | four thousand eight hundred eighty ten-thousandths | 61/125 | 48.8% | same numerical value, written to the ten-thousandths place |
| 4.88 | four point eight eight | four and eighty-eight hundredths | 122/25 | 488% | ten times larger than 0.488 |
Quick Practice
How is 0.488 read digit by digit?
Zero point four eight eight.
What is the place-value word form of 0.488?
Four hundred eighty-eight thousandths.
What fraction is 0.488 in lowest terms?
61/125.
What percentage is equal to 0.488?
48.8%.
Which is greater: 0.488 or 0.0488?
0.488 is ten times as large.
Is 0.488 equal to 0.4880?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.488 in words?
0.488 in words is zero point four eight eight.
Why is 0.488 called four hundred eighty-eight thousandths?
Because the digit 4 is in the thousandths place. Therefore, 0.488 represents four hundred eighty-eight thousandths.
What fraction is 0.488?
0.488 is 488/1000 exactly and 61/125 in lowest terms.
Can 488/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 61/125.
What percentage is 0.488?
0.488 is equal to 48.8%.
Is 0.488 the same as 0.4880?
Yes. 0.488 and 0.4880 have the same numerical value. However, 0.488 is written to the thousandths place, while 0.4880 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.488 larger than 0.0488?
Yes. 0.488 is ten times as large as 0.0488.
What type of decimal is 0.488?
0.488 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents four hundred eighty-eight thousandths.