Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 264/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.264 in Words
1.264 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.264 in words is one point two six four.
1.264 Place-Value Breakdown
The digits 1 form the whole-number part, while 2 in the tenth place, 6 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.264?
1.264 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.264
1.264 = 1 + 2/10 + 6/100 + 4/1000
1.264 = 1 + 264/1000
1.264 = 1 33/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.264 Simplifies to 158/125
1.264 = 1264/1000
The greatest common divisor of 1264 and 1000 is 8.
1264 ÷ 8 = 158
1000 ÷ 8 = 125
Therefore, 1264/1000 = 158/125.
As a mixed fraction, the value is 1 33/125.
1.264 as a Percentage
To convert 1.264 to a percentage, multiply it by 100.
1.264 × 100 = 126.4
Therefore, 1.264 = 126.4%.
Decimals Equivalent to 1.264
1.264 = 1.2640 = 1.26400
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 |
|---|---|---|---|
| 1.264 | thousandths | 1264/1000 | 158/125 |
| 1.2640 | ten-thousandths | 12640/10000 | 158/125 |
| 1.26400 | hundred-thousandths | 126400/100000 | 158/125 |
1.264 on a Number Line
1.264 lies between 1 and 2. It is 0.736 below 2 and 0.264 above 1.
11.2642
1.264 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1264 | zero point one two six four | one thousand two hundred sixty-four ten-thousandths | 79/625 | 12.64% | ten times smaller than 1.264 |
| 1.264 | one point two six four | one and two hundred sixty-four thousandths | 158/125 | 126.4% | current value |
| 1.2640 | one point two six four zero | one and two thousand six hundred forty ten-thousandths | 158/125 | 126.4% | same numerical value, written to the ten-thousandths place |
| 12.64 | twelve point six four | twelve and sixty-four hundredths | 316/25 | 1264% | ten times larger than 1.264 |
Quick Practice
How is 1.264 read digit by digit?
One point two six four.
What is the place-value word form of 1.264?
One and two hundred sixty-four thousandths.
What fraction is 1.264 in lowest terms?
158/125.
What percentage is equal to 1.264?
126.4%.
What is 1.264 as a mixed fraction?
1 33/125.
Between which whole numbers does 1.264 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.264 in words?
1.264 in words is one point two six four.
Why is 1.264 called one and two hundred sixty-four thousandths?
Because the digit 2 is in the thousandths place. Therefore, 1.264 represents one and two hundred sixty-four thousandths.
What fraction is 1.264?
1.264 is 1264/1000 exactly and 158/125 in lowest terms.
Can 1264/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 158/125.
What percentage is 1.264?
1.264 is equal to 126.4%.
Is 1.264 the same as 1.2640?
Yes. 1.264 and 1.2640 have the same numerical value. However, 1.264 is written to the thousandths place, while 1.2640 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.264 larger than 0.1264?
Yes. 1.264 is ten times as large as 0.1264.
What type of decimal is 1.264?
1.264 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two hundred sixty-four thousandths.