Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 304/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.304 in Words
1.304 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.304 in words is one point three zero four.
1.304 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 0 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.304?
1.304 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.304
1.304 = 1 + 3/10 + 4/1000
1.304 = 1 + 304/1000
1.304 = 1 38/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.304 Simplifies to 163/125
1.304 = 1304/1000
The greatest common divisor of 1304 and 1000 is 8.
1304 ÷ 8 = 163
1000 ÷ 8 = 125
Therefore, 1304/1000 = 163/125.
As a mixed fraction, the value is 1 38/125.
1.304 as a Percentage
To convert 1.304 to a percentage, multiply it by 100.
1.304 × 100 = 130.4
Therefore, 1.304 = 130.4%.
Decimals Equivalent to 1.304
1.304 = 1.3040 = 1.30400
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 |
|---|---|---|---|
| 1.304 | thousandths | 1304/1000 | 163/125 |
| 1.3040 | ten-thousandths | 13040/10000 | 163/125 |
| 1.30400 | hundred-thousandths | 130400/100000 | 163/125 |
1.304 on a Number Line
1.304 lies between 1 and 2. It is 0.696 below 2 and 0.304 above 1.
11.3042
1.304 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1304 | zero point one three zero four | one thousand three hundred four ten-thousandths | 163/1250 | 13.04% | ten times smaller than 1.304 |
| 1.304 | one point three zero four | one and three hundred four thousandths | 163/125 | 130.4% | current value |
| 1.3040 | one point three zero four zero | one and three thousand forty ten-thousandths | 163/125 | 130.4% | same numerical value, written to the ten-thousandths place |
| 13.04 | thirteen point zero four | thirteen and four hundredths | 326/25 | 1304% | ten times larger than 1.304 |
Quick Practice
How is 1.304 read digit by digit?
One point three zero four.
What is the place-value word form of 1.304?
One and three hundred four thousandths.
What fraction is 1.304 in lowest terms?
163/125.
What percentage is equal to 1.304?
130.4%.
What is 1.304 as a mixed fraction?
1 38/125.
Between which whole numbers does 1.304 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.304 in words?
1.304 in words is one point three zero four.
Why is 1.304 called one and three hundred four thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.304 represents one and three hundred four thousandths.
What fraction is 1.304?
1.304 is 1304/1000 exactly and 163/125 in lowest terms.
Can 1304/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 163/125.
What percentage is 1.304?
1.304 is equal to 130.4%.
Is 1.304 the same as 1.3040?
Yes. 1.304 and 1.3040 have the same numerical value. However, 1.304 is written to the thousandths place, while 1.3040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.304 larger than 0.1304?
Yes. 1.304 is ten times as large as 0.1304.
What type of decimal is 1.304?
1.304 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred four thousandths.