Why the Zeros After the Point Matter
0.004 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
0.004 in Words
0.004 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.004 in words is zero point zero zero four.
0.004 Place-Value Breakdown
The first 2 digits after the decimal point are zeros, and the digit 4 is in the thousandths place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 0.004?
0.004 is a positive terminating decimal less 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 0.004
0.004 = 4 × 0.001
0.004 = 4/1000
0.004 = 0 + 4/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.004 Simplifies to 1/250
0.004 = 4/1000
The greatest common divisor of 4 and 1000 is 4.
4 ÷ 4 = 1
1000 ÷ 4 = 250
Therefore, 4/1000 = 1/250.
0.004 as a Percentage
To convert 0.004 to a percentage, multiply it by 100.
0.004 × 100 = 0.4
Therefore, 0.004 = 0.4%.
Decimals Equivalent to 0.004
0.004 = 0.0040 = 0.00400
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 |
|---|---|---|---|
| 0.004 | thousandths | 4/1000 | 1/250 |
| 0.0040 | ten-thousandths | 40/10000 | 1/250 |
| 0.00400 | hundred-thousandths | 400/100000 | 1/250 |
Visual Model of 0.004
4thousandths
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.004 on a Number Line
0.004 lies between 0.003 and 0.005. It is 0.996 below 1 and 0.004 above 0.
On a number line from 0 to 1, it appears 0.4% of the way from 0 to 1.
00.0041
How Far Is 0.004 from 1?
1 − 0.004 = 0.996
1 − 1/250 = 249/250
0.004 is nine hundred ninety-six thousandths below 1. The remaining part is 996/1000 = 249/250 = 99.6%.
0.004 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0004 | zero point zero zero zero four | four ten-thousandths | 1/2500 | 0.04% | ten times smaller than 0.004 |
| 0.004 | zero point zero zero four | four thousandths | 1/250 | 0.4% | current value |
| 0.0040 | zero point zero zero four zero | forty ten-thousandths | 1/250 | 0.4% | same numerical value, written to the ten-thousandths place |
| 0.04 | zero point zero four | four hundredths | 1/25 | 4% | ten times larger than 0.004 |
Quick Practice
How is 0.004 read digit by digit?
Zero point zero zero four.
What is the place-value word form of 0.004?
Four thousandths.
What fraction is 0.004 in lowest terms?
1/250.
What percentage is equal to 0.004?
0.4%.
Why must the zero after the decimal point be read?
It holds an empty place before the first nonzero digit and fixes the value in the thousandths place.
Which is greater: 0.004 or 0.04?
0.04 is ten times as large.
Frequently Asked Questions
How do you write 0.004 in words?
0.004 in words is zero point zero zero four.
Why is 0.004 called four thousandths?
Because the digit 4 is in the thousandths place. Therefore, 0.004 represents four thousandths.
What fraction is 0.004?
0.004 is 4/1000 exactly and 1/250 in lowest terms.
Can 4/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 1/250.
What percentage is 0.004?
0.004 is equal to 0.4%.
Is 0.004 the same as 0.0040?
Yes. 0.004 and 0.0040 have the same numerical value. However, 0.004 is written to the thousandths place, while 0.0040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.004 larger than 0.0004?
Yes. 0.004 is ten times as large as 0.0004.
What type of decimal is 0.004?
0.004 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents four thousandths.