Decimal in the thousandths place
0.738 in Words
0.738 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.738 in words is zero point seven three eight.
0.738 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 3 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 | 3 | hundredth | 3/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.738?
0.738 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.738
0.738 = 7/10 + 3/100 + 8/1000
0.738 = 0 + 738/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.738 Simplifies to 369/500
0.738 = 738/1000
The greatest common divisor of 738 and 1000 is 2.
738 ÷ 2 = 369
1000 ÷ 2 = 500
Therefore, 738/1000 = 369/500.
0.738 as a Percentage
To convert 0.738 to a percentage, multiply it by 100.
0.738 × 100 = 73.8
Therefore, 0.738 = 73.8%.
Decimals Equivalent to 0.738
0.738 = 0.7380 = 0.73800
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 |
|---|---|---|---|
| 0.738 | thousandths | 738/1000 | 369/500 |
| 0.7380 | ten-thousandths | 7380/10000 | 369/500 |
| 0.73800 | hundred-thousandths | 73800/100000 | 369/500 |
Visual Model of 0.738
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.738 on a Number Line
0.738 lies between 0.737 and 0.739. It is 0.262 below 1 and 0.738 above 0.
On a number line from 0 to 1, it appears 73.8% of the way from 0 to 1.
How Far Is 0.738 from 1?
1 − 0.738 = 0.262
1 − 369/500 = 131/500
0.738 is two hundred sixty-two thousandths below 1. The remaining part is 262/1000 = 131/500 = 26.2%.
0.738 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0738 | zero point zero seven three eight | seven hundred thirty-eight ten-thousandths | 369/5000 | 7.38% | ten times smaller than 0.738 |
| 0.738 | zero point seven three eight | seven hundred thirty-eight thousandths | 369/500 | 73.8% | current value |
| 0.7380 | zero point seven three eight zero | seven thousand three hundred eighty ten-thousandths | 369/500 | 73.8% | same numerical value, written to the ten-thousandths place |
| 7.38 | seven point three eight | seven and thirty-eight hundredths | 369/50 | 738% | ten times larger than 0.738 |
Quick Practice
How is 0.738 read digit by digit?
Zero point seven three eight.
What is the place-value word form of 0.738?
Seven hundred thirty-eight thousandths.
What fraction is 0.738 in lowest terms?
369/500.
What percentage is equal to 0.738?
73.8%.
Which is greater: 0.738 or 0.0738?
0.738 is ten times as large.
Is 0.738 equal to 0.7380?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.738 in words?
0.738 in words is zero point seven three eight.
Why is 0.738 called seven hundred thirty-eight thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.738 represents seven hundred thirty-eight thousandths.
What fraction is 0.738?
0.738 is 738/1000 exactly and 369/500 in lowest terms.
Can 738/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 369/500.
What percentage is 0.738?
0.738 is equal to 73.8%.
Is 0.738 the same as 0.7380?
Yes. 0.738 and 0.7380 have the same numerical value. However, 0.738 is written to the thousandths place, while 0.7380 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.738 larger than 0.0738?
Yes. 0.738 is ten times as large as 0.0738.
What type of decimal is 0.738?
0.738 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred thirty-eight thousandths.