Decimal in the thousandths place
0.704 in Words
0.704 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.704 in words is zero point seven zero four.
0.704 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 0 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 0.704?
0.704 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.704
0.704 = 7/10 + 4/1000
0.704 = 0 + 704/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.704 Simplifies to 88/125
0.704 = 704/1000
The greatest common divisor of 704 and 1000 is 8.
704 ÷ 8 = 88
1000 ÷ 8 = 125
Therefore, 704/1000 = 88/125.
0.704 as a Percentage
To convert 0.704 to a percentage, multiply it by 100.
0.704 × 100 = 70.4
Therefore, 0.704 = 70.4%.
Decimals Equivalent to 0.704
0.704 = 0.7040 = 0.70400
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 |
|---|---|---|---|
| 0.704 | thousandths | 704/1000 | 88/125 |
| 0.7040 | ten-thousandths | 7040/10000 | 88/125 |
| 0.70400 | hundred-thousandths | 70400/100000 | 88/125 |
Visual Model of 0.704
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.704 on a Number Line
0.704 lies between 0.703 and 0.705. It is 0.296 below 1 and 0.704 above 0.
On a number line from 0 to 1, it appears 70.4% of the way from 0 to 1.
How Far Is 0.704 from 1?
1 − 0.704 = 0.296
1 − 88/125 = 37/125
0.704 is two hundred ninety-six thousandths below 1. The remaining part is 296/1000 = 37/125 = 29.6%.
0.704 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0704 | zero point zero seven zero four | seven hundred four ten-thousandths | 44/625 | 7.04% | ten times smaller than 0.704 |
| 0.704 | zero point seven zero four | seven hundred four thousandths | 88/125 | 70.4% | current value |
| 0.7040 | zero point seven zero four zero | seven thousand forty ten-thousandths | 88/125 | 70.4% | same numerical value, written to the ten-thousandths place |
| 7.04 | seven point zero four | seven and four hundredths | 176/25 | 704% | ten times larger than 0.704 |
Quick Practice
How is 0.704 read digit by digit?
Zero point seven zero four.
What is the place-value word form of 0.704?
Seven hundred four thousandths.
What fraction is 0.704 in lowest terms?
88/125.
What percentage is equal to 0.704?
70.4%.
Which is greater: 0.704 or 0.0704?
0.704 is ten times as large.
Is 0.704 equal to 0.7040?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.704 in words?
0.704 in words is zero point seven zero four.
Why is 0.704 called seven hundred four thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.704 represents seven hundred four thousandths.
What fraction is 0.704?
0.704 is 704/1000 exactly and 88/125 in lowest terms.
Can 704/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 88/125.
What percentage is 0.704?
0.704 is equal to 70.4%.
Is 0.704 the same as 0.7040?
Yes. 0.704 and 0.7040 have the same numerical value. However, 0.704 is written to the thousandths place, while 0.7040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.704 larger than 0.0704?
Yes. 0.704 is ten times as large as 0.0704.
What type of decimal is 0.704?
0.704 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred four thousandths.