Decimal in the thousandths place
0.748 in Words
0.748 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.748 in words is zero point seven four eight.
0.748 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 4 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 | 4 | hundredth | 4/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.748?
0.748 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.748
0.748 = 7/10 + 4/100 + 8/1000
0.748 = 0 + 748/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.748 Simplifies to 187/250
0.748 = 748/1000
The greatest common divisor of 748 and 1000 is 4.
748 ÷ 4 = 187
1000 ÷ 4 = 250
Therefore, 748/1000 = 187/250.
0.748 as a Percentage
To convert 0.748 to a percentage, multiply it by 100.
0.748 × 100 = 74.8
Therefore, 0.748 = 74.8%.
Decimals Equivalent to 0.748
0.748 = 0.7480 = 0.74800
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 |
|---|---|---|---|
| 0.748 | thousandths | 748/1000 | 187/250 |
| 0.7480 | ten-thousandths | 7480/10000 | 187/250 |
| 0.74800 | hundred-thousandths | 74800/100000 | 187/250 |
Visual Model of 0.748
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.748 on a Number Line
0.748 lies between 0.747 and 0.749. It is 0.252 below 1 and 0.748 above 0.
On a number line from 0 to 1, it appears 74.8% of the way from 0 to 1.
How Far Is 0.748 from 1?
1 − 0.748 = 0.252
1 − 187/250 = 63/250
0.748 is two hundred fifty-two thousandths below 1. The remaining part is 252/1000 = 63/250 = 25.2%.
0.748 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0748 | zero point zero seven four eight | seven hundred forty-eight ten-thousandths | 187/2500 | 7.48% | ten times smaller than 0.748 |
| 0.748 | zero point seven four eight | seven hundred forty-eight thousandths | 187/250 | 74.8% | current value |
| 0.7480 | zero point seven four eight zero | seven thousand four hundred eighty ten-thousandths | 187/250 | 74.8% | same numerical value, written to the ten-thousandths place |
| 7.48 | seven point four eight | seven and forty-eight hundredths | 187/25 | 748% | ten times larger than 0.748 |
Quick Practice
How is 0.748 read digit by digit?
Zero point seven four eight.
What is the place-value word form of 0.748?
Seven hundred forty-eight thousandths.
What fraction is 0.748 in lowest terms?
187/250.
What percentage is equal to 0.748?
74.8%.
Which is greater: 0.748 or 0.0748?
0.748 is ten times as large.
Is 0.748 equal to 0.7480?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.748 in words?
0.748 in words is zero point seven four eight.
Why is 0.748 called seven hundred forty-eight thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.748 represents seven hundred forty-eight thousandths.
What fraction is 0.748?
0.748 is 748/1000 exactly and 187/250 in lowest terms.
Can 748/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 187/250.
What percentage is 0.748?
0.748 is equal to 74.8%.
Is 0.748 the same as 0.7480?
Yes. 0.748 and 0.7480 have the same numerical value. However, 0.748 is written to the thousandths place, while 0.7480 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.748 larger than 0.0748?
Yes. 0.748 is ten times as large as 0.0748.
What type of decimal is 0.748?
0.748 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred forty-eight thousandths.