Decimal in the thousandths place
0.788 in Words
0.788 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.788 in words is zero point seven eight eight.
0.788 Place-Value Breakdown
The decimal digits place 7 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 | 7 | tenth | 7/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.788?
0.788 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.788
0.788 = 7/10 + 8/100 + 8/1000
0.788 = 0 + 788/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.788 Simplifies to 197/250
0.788 = 788/1000
The greatest common divisor of 788 and 1000 is 4.
788 ÷ 4 = 197
1000 ÷ 4 = 250
Therefore, 788/1000 = 197/250.
0.788 as a Percentage
To convert 0.788 to a percentage, multiply it by 100.
0.788 × 100 = 78.8
Therefore, 0.788 = 78.8%.
Decimals Equivalent to 0.788
0.788 = 0.7880 = 0.78800
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 |
|---|---|---|---|
| 0.788 | thousandths | 788/1000 | 197/250 |
| 0.7880 | ten-thousandths | 7880/10000 | 197/250 |
| 0.78800 | hundred-thousandths | 78800/100000 | 197/250 |
Visual Model of 0.788
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.788 on a Number Line
0.788 lies between 0.787 and 0.789. It is 0.212 below 1 and 0.788 above 0.
On a number line from 0 to 1, it appears 78.8% of the way from 0 to 1.
How Far Is 0.788 from 1?
1 − 0.788 = 0.212
1 − 197/250 = 53/250
0.788 is two hundred twelve thousandths below 1. The remaining part is 212/1000 = 53/250 = 21.2%.
0.788 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0788 | zero point zero seven eight eight | seven hundred eighty-eight ten-thousandths | 197/2500 | 7.88% | ten times smaller than 0.788 |
| 0.788 | zero point seven eight eight | seven hundred eighty-eight thousandths | 197/250 | 78.8% | current value |
| 0.7880 | zero point seven eight eight zero | seven thousand eight hundred eighty ten-thousandths | 197/250 | 78.8% | same numerical value, written to the ten-thousandths place |
| 7.88 | seven point eight eight | seven and eighty-eight hundredths | 197/25 | 788% | ten times larger than 0.788 |
Quick Practice
How is 0.788 read digit by digit?
Zero point seven eight eight.
What is the place-value word form of 0.788?
Seven hundred eighty-eight thousandths.
What fraction is 0.788 in lowest terms?
197/250.
What percentage is equal to 0.788?
78.8%.
Which is greater: 0.788 or 0.0788?
0.788 is ten times as large.
Is 0.788 equal to 0.7880?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.788 in words?
0.788 in words is zero point seven eight eight.
Why is 0.788 called seven hundred eighty-eight thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.788 represents seven hundred eighty-eight thousandths.
What fraction is 0.788?
0.788 is 788/1000 exactly and 197/250 in lowest terms.
Can 788/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 197/250.
What percentage is 0.788?
0.788 is equal to 78.8%.
Is 0.788 the same as 0.7880?
Yes. 0.788 and 0.7880 have the same numerical value. However, 0.788 is written to the thousandths place, while 0.7880 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.788 larger than 0.0788?
Yes. 0.788 is ten times as large as 0.0788.
What type of decimal is 0.788?
0.788 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred eighty-eight thousandths.