Decimal in the thousandths place
0.707 in Words
0.707 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.707 in words is zero point seven zero seven.
0.707 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 0 in the hundredth place, and 7 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 | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.707?
0.707 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.707
0.707 = 7/10 + 7/1000
0.707 = 0 + 707/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 707/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 707/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.707 as a Percentage
To convert 0.707 to a percentage, multiply it by 100.
0.707 × 100 = 70.7
Therefore, 0.707 = 70.7%.
Decimals Equivalent to 0.707
0.707 = 0.7070 = 0.70700
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 |
|---|---|---|---|
| 0.707 | thousandths | 707/1000 | 707/1000 |
| 0.7070 | ten-thousandths | 7070/10000 | 707/1000 |
| 0.70700 | hundred-thousandths | 70700/100000 | 707/1000 |
Visual Model of 0.707
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.707 on a Number Line
0.707 lies between 0.706 and 0.708. It is 0.293 below 1 and 0.707 above 0.
On a number line from 0 to 1, it appears 70.7% of the way from 0 to 1.
How Far Is 0.707 from 1?
1 − 0.707 = 0.293
1 − 707/1000 = 293/1000
0.707 is two hundred ninety-three thousandths below 1. The remaining part is 293/1000 = 293/1000 = 29.3%.
0.707 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0707 | zero point zero seven zero seven | seven hundred seven ten-thousandths | 707/10000 | 7.07% | ten times smaller than 0.707 |
| 0.707 | zero point seven zero seven | seven hundred seven thousandths | 707/1000 | 70.7% | current value |
| 0.7070 | zero point seven zero seven zero | seven thousand seventy ten-thousandths | 707/1000 | 70.7% | same numerical value, written to the ten-thousandths place |
| 7.07 | seven point zero seven | seven and seven hundredths | 707/100 | 707% | ten times larger than 0.707 |
Quick Practice
How is 0.707 read digit by digit?
Zero point seven zero seven.
What is the place-value word form of 0.707?
Seven hundred seven thousandths.
What fraction is 0.707 in lowest terms?
707/1000.
What percentage is equal to 0.707?
70.7%.
Which is greater: 0.707 or 0.0707?
0.707 is ten times as large.
Is 0.707 equal to 0.7070?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.707 in words?
0.707 in words is zero point seven zero seven.
Why is 0.707 called seven hundred seven thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.707 represents seven hundred seven thousandths.
What fraction is 0.707?
0.707 is 707/1000 exactly and 707/1000 in lowest terms.
Is 707/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.707?
0.707 is equal to 70.7%.
Is 0.707 the same as 0.7070?
Yes. 0.707 and 0.7070 have the same numerical value. However, 0.707 is written to the thousandths place, while 0.7070 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.707 larger than 0.0707?
Yes. 0.707 is ten times as large as 0.0707.
What type of decimal is 0.707?
0.707 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred seven thousandths.