Decimal in the thousandths place
0.264 in Words
0.264 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.264 in words is zero point two six four.
0.264 Place-Value Breakdown
The decimal digits place 2 in the tenth place, 6 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 0.264?
0.264 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.264
0.264 = 2/10 + 6/100 + 4/1000
0.264 = 0 + 264/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.264 Simplifies to 33/125
0.264 = 264/1000
The greatest common divisor of 264 and 1000 is 8.
264 ÷ 8 = 33
1000 ÷ 8 = 125
Therefore, 264/1000 = 33/125.
0.264 as a Percentage
To convert 0.264 to a percentage, multiply it by 100.
0.264 × 100 = 26.4
Therefore, 0.264 = 26.4%.
Decimals Equivalent to 0.264
0.264 = 0.2640 = 0.26400
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 |
|---|---|---|---|
| 0.264 | thousandths | 264/1000 | 33/125 |
| 0.2640 | ten-thousandths | 2640/10000 | 33/125 |
| 0.26400 | hundred-thousandths | 26400/100000 | 33/125 |
Visual Model of 0.264
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.264 on a Number Line
0.264 lies between 0.263 and 0.265. It is 0.736 below 1 and 0.264 above 0.
On a number line from 0 to 1, it appears 26.4% of the way from 0 to 1.
How Far Is 0.264 from 1?
1 − 0.264 = 0.736
1 − 33/125 = 92/125
0.264 is seven hundred thirty-six thousandths below 1. The remaining part is 736/1000 = 92/125 = 73.6%.
0.264 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0264 | zero point zero two six four | two hundred sixty-four ten-thousandths | 33/1250 | 2.64% | ten times smaller than 0.264 |
| 0.264 | zero point two six four | two hundred sixty-four thousandths | 33/125 | 26.4% | current value |
| 0.2640 | zero point two six four zero | two thousand six hundred forty ten-thousandths | 33/125 | 26.4% | same numerical value, written to the ten-thousandths place |
| 2.64 | two point six four | two and sixty-four hundredths | 66/25 | 264% | ten times larger than 0.264 |
Quick Practice
How is 0.264 read digit by digit?
Zero point two six four.
What is the place-value word form of 0.264?
Two hundred sixty-four thousandths.
What fraction is 0.264 in lowest terms?
33/125.
What percentage is equal to 0.264?
26.4%.
Which is greater: 0.264 or 0.0264?
0.264 is ten times as large.
Is 0.264 equal to 0.2640?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.264 in words?
0.264 in words is zero point two six four.
Why is 0.264 called two hundred sixty-four thousandths?
Because the digit 2 is in the thousandths place. Therefore, 0.264 represents two hundred sixty-four thousandths.
What fraction is 0.264?
0.264 is 264/1000 exactly and 33/125 in lowest terms.
Can 264/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 33/125.
What percentage is 0.264?
0.264 is equal to 26.4%.
Is 0.264 the same as 0.2640?
Yes. 0.264 and 0.2640 have the same numerical value. However, 0.264 is written to the thousandths place, while 0.2640 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.264 larger than 0.0264?
Yes. 0.264 is ten times as large as 0.0264.
What type of decimal is 0.264?
0.264 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents two hundred sixty-four thousandths.