Decimal in the thousandths place
0.749 in Words
0.749 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.749 in words is zero point seven four nine.
0.749 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 4 in the hundredth place, and 9 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is 0.749?
0.749 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.749
0.749 = 7/10 + 4/100 + 9/1000
0.749 = 0 + 749/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 749/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 749/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.749 as a Percentage
To convert 0.749 to a percentage, multiply it by 100.
0.749 × 100 = 74.9
Therefore, 0.749 = 74.9%.
Decimals Equivalent to 0.749
0.749 = 0.7490 = 0.74900
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 |
|---|---|---|---|
| 0.749 | thousandths | 749/1000 | 749/1000 |
| 0.7490 | ten-thousandths | 7490/10000 | 749/1000 |
| 0.74900 | hundred-thousandths | 74900/100000 | 749/1000 |
Visual Model of 0.749
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.749 on a Number Line
0.749 lies between 0.748 and 0.750. It is 0.251 below 1 and 0.749 above 0.
On a number line from 0 to 1, it appears 74.9% of the way from 0 to 1.
How Far Is 0.749 from 1?
1 − 0.749 = 0.251
1 − 749/1000 = 251/1000
0.749 is two hundred fifty-one thousandths below 1. The remaining part is 251/1000 = 251/1000 = 25.1%.
0.749 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0749 | zero point zero seven four nine | seven hundred forty-nine ten-thousandths | 749/10000 | 7.49% | ten times smaller than 0.749 |
| 0.749 | zero point seven four nine | seven hundred forty-nine thousandths | 749/1000 | 74.9% | current value |
| 0.7490 | zero point seven four nine zero | seven thousand four hundred ninety ten-thousandths | 749/1000 | 74.9% | same numerical value, written to the ten-thousandths place |
| 7.49 | seven point four nine | seven and forty-nine hundredths | 749/100 | 749% | ten times larger than 0.749 |
Quick Practice
How is 0.749 read digit by digit?
Zero point seven four nine.
What is the place-value word form of 0.749?
Seven hundred forty-nine thousandths.
What fraction is 0.749 in lowest terms?
749/1000.
What percentage is equal to 0.749?
74.9%.
Which is greater: 0.749 or 0.0749?
0.749 is ten times as large.
Is 0.749 equal to 0.7490?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.749 in words?
0.749 in words is zero point seven four nine.
Why is 0.749 called seven hundred forty-nine thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.749 represents seven hundred forty-nine thousandths.
What fraction is 0.749?
0.749 is 749/1000 exactly and 749/1000 in lowest terms.
Is 749/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.749?
0.749 is equal to 74.9%.
Is 0.749 the same as 0.7490?
Yes. 0.749 and 0.7490 have the same numerical value. However, 0.749 is written to the thousandths place, while 0.7490 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.749 larger than 0.0749?
Yes. 0.749 is ten times as large as 0.0749.
What type of decimal is 0.749?
0.749 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred forty-nine thousandths.