Number DigitDecimal in the thousandths place
0.790 in Words
0.790 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.790 in words is zero point seven nine zero.
0.790 has the same numerical value as 0.79, but it is written to the thousandths place.
0.790 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 9 in the hundredth place, and 0 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 0 | thousandth | 0/1000 |
What Kind of Decimal Is 0.790?
0.790 is a positive terminating decimal less than 1. It is written to the thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 0.790
0.790 = 7/10 + 9/100
0.790 = 0 + 790/1000
0.790 = 790/1000
The nonzero terms determine the numerical value, while the trailing zero preserves the written thousandths precision.
How 0.790 Simplifies to 79/100
0.790 = 790/1000
The greatest common divisor of 790 and 1000 is 10.
790 ÷ 10 = 79
1000 ÷ 10 = 100
Therefore, 790/1000 = 79/100.
0.790 as a Percentage
To convert 0.790 to a percentage, multiply it by 100.
0.790 × 100 = 79
Therefore, 0.790 = 79%.
Decimals Equivalent to 0.790
0.79 = 0.790 = 0.7900
0.790 and 0.79 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 0.79 | hundredths | 79/100 | 79/100 |
| 0.790 | thousandths | 790/1000 | 79/100 |
| 0.7900 | ten-thousandths | 7900/10000 | 79/100 |
A Familiar Fraction Equivalent
The reduced form 79/100 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 0.790 was written to the thousandths place.
Visual Model of 0.790
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.790 on a Number Line
0.790 lies between 0.789 and 0.791. It is 0.21 below 1 and 0.79 above 0.
On a number line from 0 to 1, it appears 79% of the way from 0 to 1.
How Far Is 0.790 from 1?
1 − 0.790 = 0.21
1 − 79/100 = 21/100
0.790 is twenty-one hundredths below 1. The remaining part is 210/1000 = 21/100 = 21%.
0.790 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.079 | zero point zero seven nine | seventy-nine thousandths | 79/1000 | 7.9% | ten times smaller than 0.790 |
| 0.79 | zero point seven nine | seventy-nine hundredths | 79/100 | 79% | same numerical value, fewer written decimal places |
| 0.790 | zero point seven nine zero | seven hundred ninety thousandths | 79/100 | 79% | current value |
| 0.7900 | zero point seven nine zero zero | seven thousand nine hundred ten-thousandths | 79/100 | 79% | same numerical value, written to the ten-thousandths place |
| 7.9 | seven point nine | seven and nine tenths | 79/10 | 790% | ten times larger than 0.790 |
Quick Practice
How is 0.790 read digit by digit?
Zero point seven nine zero.
What is the place-value word form of 0.790?
Seven hundred ninety thousandths.
What fraction is 0.790 in lowest terms?
79/100.
What percentage is equal to 0.790?
79%.
Which is greater: 0.790 or 0.079?
0.790 is ten times as large.
Is 0.790 equal to 0.7900?
Yes. The added trailing zero changes written precision, not numerical value.
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Frequently Asked Questions
How do you write 0.790 in words?
0.790 in words is zero point seven nine zero.
Why is 0.790 called seven hundred ninety thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as seven hundred ninety thousandths.
What fraction is 0.790?
0.790 is 790/1000 exactly and 79/100 in lowest terms.
Can 790/1000 be simplified?
Yes. Divide its numerator and denominator by 10 to get 79/100.
What percentage is 0.790?
0.790 is equal to 79%.
Is 0.790 the same as 0.7900?
Yes. 0.790 and 0.7900 have the same numerical value. However, 0.790 is written to the thousandths place, while 0.7900 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.790 larger than 0.079?
Yes. 0.790 is ten times as large as 0.079.
What type of decimal is 0.790?
0.790 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred ninety thousandths.