Why the Zeros After the Point Matter
0.008 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
0.008 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
0.008 in words is zero point zero zero eight.
The first 2 digits after the decimal point are zeros, and the digit 8 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 | 8 | thousandth | 8/1000 |
0.008 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.
0.008 = 8 × 0.001
0.008 = 8/1000
0.008 = 0 + 8/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
0.008 = 8/1000
The greatest common divisor of 8 and 1000 is 8.
8 ÷ 8 = 1
1000 ÷ 8 = 125
Therefore, 8/1000 = 1/125.
To convert 0.008 to a percentage, multiply it by 100.
0.008 × 100 = 0.8
Therefore, 0.008 = 0.8%.
0.008 = 0.0080 = 0.00800
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 |
|---|---|---|---|
| 0.008 | thousandths | 8/1000 | 1/125 |
| 0.0080 | ten-thousandths | 80/10000 | 1/125 |
| 0.00800 | hundred-thousandths | 800/100000 | 1/125 |
0.008 begins with 2 decimal-place placeholders before its first nonzero digit. Omitting one would move that digit left and create a different value.
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.008 lies between 0.007 and 0.009. It is 0.992 below 1 and 0.008 above 0.
On a number line from 0 to 1, it appears 0.8% of the way from 0 to 1.
1 − 0.008 = 0.992
1 − 1/125 = 124/125
0.008 is nine hundred ninety-two thousandths below 1. The remaining part is 992/1000 = 124/125 = 99.2%.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0008 | zero point zero zero zero eight | eight ten-thousandths | 1/1250 | 0.08% | ten times smaller than 0.008 |
| 0.008 | zero point zero zero eight | eight thousandths | 1/125 | 0.8% | current value |
| 0.0080 | zero point zero zero eight zero | eighty ten-thousandths | 1/125 | 0.8% | same numerical value, written to the ten-thousandths place |
| 0.08 | zero point zero eight | eight hundredths | 2/25 | 8% | ten times larger than 0.008 |
Zero point zero zero eight.
Eight thousandths.
1/125.
0.8%.
It holds an empty place before the first nonzero digit and fixes the value in the thousandths place.
0.08 is ten times as large.
0.008 in words is zero point zero zero eight.
Because the digit 8 is in the thousandths place. Therefore, 0.008 represents eight thousandths.
0.008 is 8/1000 exactly and 1/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 1/125.
0.008 is equal to 0.8%.
Yes. 0.008 and 0.0080 have the same numerical value. However, 0.008 is written to the thousandths place, while 0.0080 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 0.008 is ten times as large as 0.0008.
0.008 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight thousandths.