Decimal in the thousandths place
0.702 in Words
0.702 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.702 in words is zero point seven zero two.
0.702 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 0 in the hundredth place, and 2 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 | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.702?
0.702 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.702
0.702 = 7/10 + 2/1000
0.702 = 0 + 702/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.702 Simplifies to 351/500
0.702 = 702/1000
The greatest common divisor of 702 and 1000 is 2.
702 ÷ 2 = 351
1000 ÷ 2 = 500
Therefore, 702/1000 = 351/500.
0.702 as a Percentage
To convert 0.702 to a percentage, multiply it by 100.
0.702 × 100 = 70.2
Therefore, 0.702 = 70.2%.
Decimals Equivalent to 0.702
0.702 = 0.7020 = 0.70200
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 |
|---|---|---|---|
| 0.702 | thousandths | 702/1000 | 351/500 |
| 0.7020 | ten-thousandths | 7020/10000 | 351/500 |
| 0.70200 | hundred-thousandths | 70200/100000 | 351/500 |
Visual Model of 0.702
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.702 on a Number Line
0.702 lies between 0.701 and 0.703. It is 0.298 below 1 and 0.702 above 0.
On a number line from 0 to 1, it appears 70.2% of the way from 0 to 1.
How Far Is 0.702 from 1?
1 − 0.702 = 0.298
1 − 351/500 = 149/500
0.702 is two hundred ninety-eight thousandths below 1. The remaining part is 298/1000 = 149/500 = 29.8%.
0.702 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0702 | zero point zero seven zero two | seven hundred two ten-thousandths | 351/5000 | 7.02% | ten times smaller than 0.702 |
| 0.702 | zero point seven zero two | seven hundred two thousandths | 351/500 | 70.2% | current value |
| 0.7020 | zero point seven zero two zero | seven thousand twenty ten-thousandths | 351/500 | 70.2% | same numerical value, written to the ten-thousandths place |
| 7.02 | seven point zero two | seven and two hundredths | 351/50 | 702% | ten times larger than 0.702 |
Quick Practice
How is 0.702 read digit by digit?
Zero point seven zero two.
What is the place-value word form of 0.702?
Seven hundred two thousandths.
What fraction is 0.702 in lowest terms?
351/500.
What percentage is equal to 0.702?
70.2%.
Which is greater: 0.702 or 0.0702?
0.702 is ten times as large.
Is 0.702 equal to 0.7020?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.702 in words?
0.702 in words is zero point seven zero two.
Why is 0.702 called seven hundred two thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.702 represents seven hundred two thousandths.
What fraction is 0.702?
0.702 is 702/1000 exactly and 351/500 in lowest terms.
Can 702/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 351/500.
What percentage is 0.702?
0.702 is equal to 70.2%.
Is 0.702 the same as 0.7020?
Yes. 0.702 and 0.7020 have the same numerical value. However, 0.702 is written to the thousandths place, while 0.7020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.702 larger than 0.0702?
Yes. 0.702 is ten times as large as 0.0702.
What type of decimal is 0.702?
0.702 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred two thousandths.