Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 204/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.204 in Words
1.204 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.204 in words is one point two zero four.
1.204 Place-Value Breakdown
The digits 1 form the whole-number part, while 2 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 | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.204?
1.204 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.204
1.204 = 1 + 2/10 + 4/1000
1.204 = 1 + 204/1000
1.204 = 1 51/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.204 Simplifies to 301/250
1.204 = 1204/1000
The greatest common divisor of 1204 and 1000 is 4.
1204 ÷ 4 = 301
1000 ÷ 4 = 250
Therefore, 1204/1000 = 301/250.
As a mixed fraction, the value is 1 51/250.
1.204 as a Percentage
To convert 1.204 to a percentage, multiply it by 100.
1.204 × 100 = 120.4
Therefore, 1.204 = 120.4%.
Decimals Equivalent to 1.204
1.204 = 1.2040 = 1.20400
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 |
|---|---|---|---|
| 1.204 | thousandths | 1204/1000 | 301/250 |
| 1.2040 | ten-thousandths | 12040/10000 | 301/250 |
| 1.20400 | hundred-thousandths | 120400/100000 | 301/250 |
1.204 on a Number Line
1.204 lies between 1 and 2. It is 0.796 below 2 and 0.204 above 1.
11.2042
1.204 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1204 | zero point one two zero four | one thousand two hundred four ten-thousandths | 301/2500 | 12.04% | ten times smaller than 1.204 |
| 1.204 | one point two zero four | one and two hundred four thousandths | 301/250 | 120.4% | current value |
| 1.2040 | one point two zero four zero | one and two thousand forty ten-thousandths | 301/250 | 120.4% | same numerical value, written to the ten-thousandths place |
| 12.04 | twelve point zero four | twelve and four hundredths | 301/25 | 1204% | ten times larger than 1.204 |
Quick Practice
How is 1.204 read digit by digit?
One point two zero four.
What is the place-value word form of 1.204?
One and two hundred four thousandths.
What fraction is 1.204 in lowest terms?
301/250.
What percentage is equal to 1.204?
120.4%.
What is 1.204 as a mixed fraction?
1 51/250.
Between which whole numbers does 1.204 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.204 in words?
1.204 in words is one point two zero four.
Why is 1.204 called one and two hundred four thousandths?
Because the digit 2 is in the thousandths place. Therefore, 1.204 represents one and two hundred four thousandths.
What fraction is 1.204?
1.204 is 1204/1000 exactly and 301/250 in lowest terms.
Can 1204/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 301/250.
What percentage is 1.204?
1.204 is equal to 120.4%.
Is 1.204 the same as 1.2040?
Yes. 1.204 and 1.2040 have the same numerical value. However, 1.204 is written to the thousandths place, while 1.2040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.204 larger than 0.1204?
Yes. 1.204 is ten times as large as 0.1204.
What type of decimal is 1.204?
1.204 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two hundred four thousandths.