Why the Zeros After the Point Matter
1.004 begins with 2 decimal-place placeholders before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
1.004 in Words
1.004 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.004 in words is one point zero zero four.
1.004 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 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 | 0 | tenth | 0/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.004?
1.004 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 2 placeholder zeros appear before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 1.004
1.004 = 1 + 4/1000
1.004 = 1 1/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.004 Simplifies to 251/250
1.004 = 1004/1000
The greatest common divisor of 1004 and 1000 is 4.
1004 ÷ 4 = 251
1000 ÷ 4 = 250
Therefore, 1004/1000 = 251/250.
As a mixed fraction, the value is 1 1/250.
1.004 as a Percentage
To convert 1.004 to a percentage, multiply it by 100.
1.004 × 100 = 100.4
Therefore, 1.004 = 100.4%.
Decimals Equivalent to 1.004
1.004 = 1.0040 = 1.00400
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 |
|---|---|---|---|
| 1.004 | thousandths | 1004/1000 | 251/250 |
| 1.0040 | ten-thousandths | 10040/10000 | 251/250 |
| 1.00400 | hundred-thousandths | 100400/100000 | 251/250 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 4/1000. In place-value words, "and" marks that boundary.
1.004 on a Number Line
1.004 lies between 1 and 2. It is 0.996 below 2 and 0.004 above 1.
11.0042
1.004 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1004 | zero point one zero zero four | one thousand four ten-thousandths | 251/2500 | 10.04% | ten times smaller than 1.004 |
| 1.004 | one point zero zero four | one and four thousandths | 251/250 | 100.4% | current value |
| 1.0040 | one point zero zero four zero | one and forty ten-thousandths | 251/250 | 100.4% | same numerical value, written to the ten-thousandths place |
| 10.04 | ten point zero four | ten and four hundredths | 251/25 | 1004% | ten times larger than 1.004 |
Quick Practice
How is 1.004 read digit by digit?
One point zero zero four.
What is the place-value word form of 1.004?
One and four thousandths.
What fraction is 1.004 in lowest terms?
251/250.
What percentage is equal to 1.004?
100.4%.
What is 1.004 as a mixed fraction?
1 1/250.
Between which whole numbers does 1.004 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.004 in words?
1.004 in words is one point zero zero four.
Why is 1.004 called one and four thousandths?
Because the digit 4 is in the thousandths place. Therefore, 1.004 represents one and four thousandths.
What fraction is 1.004?
1.004 is 1004/1000 exactly and 251/250 in lowest terms.
Can 1004/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 251/250.
What percentage is 1.004?
1.004 is equal to 100.4%.
Is 1.004 the same as 1.0040?
Yes. 1.004 and 1.0040 have the same numerical value. However, 1.004 is written to the thousandths place, while 1.0040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.004 larger than 0.1004?
Yes. 1.004 is ten times as large as 0.1004.
What type of decimal is 1.004?
1.004 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four thousandths.