Why the Zeros After the Point Matter
1.007 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
1.007 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.007 in words is one point zero zero seven.
The digits 1 form the whole-number part, while 0 in the tenth place, 0 in the hundredth place, and 7 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 | 7 | thousandth | 7/1000 |
1.007 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.
1.007 = 1 + 7/1000
1.007 = 1 7/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
There are 3 decimal places, so the exact fraction is 1007/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 7/1000.
To convert 1.007 to a percentage, multiply it by 100.
1.007 × 100 = 100.7
Therefore, 1.007 = 100.7%.
1.007 = 1.0070 = 1.00700
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 |
|---|---|---|---|
| 1.007 | thousandths | 1007/1000 | 1007/1000 |
| 1.0070 | ten-thousandths | 10070/10000 | 1007/1000 |
| 1.00700 | hundred-thousandths | 100700/100000 | 1007/1000 |
1.007 begins with 2 decimal-place placeholders before its first nonzero digit. Omitting one would move that digit left and create a different value.
This mixed decimal combines the whole part 1 with the fractional part 7/1000. In place-value words, "and" marks that boundary.
1.007 lies between 1 and 2. It is 0.993 below 2 and 0.007 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1007 | zero point one zero zero seven | one thousand seven ten-thousandths | 1007/10000 | 10.07% | ten times smaller than 1.007 |
| 1.007 | one point zero zero seven | one and seven thousandths | 1007/1000 | 100.7% | current value |
| 1.0070 | one point zero zero seven zero | one and seventy ten-thousandths | 1007/1000 | 100.7% | same numerical value, written to the ten-thousandths place |
| 10.07 | ten point zero seven | ten and seven hundredths | 1007/100 | 1007% | ten times larger than 1.007 |
One point zero zero seven.
One and seven thousandths.
1007/1000.
100.7%.
1 7/1000.
Between 1 and 2.
1.007 in words is one point zero zero seven.
Because the digit 7 is in the thousandths place. Therefore, 1.007 represents one and seven thousandths.
1.007 is 1007/1000 exactly and 1007/1000 in lowest terms.
Yes. Its numerator and denominator have a greatest common divisor of 1.
1.007 is equal to 100.7%.
Yes. 1.007 and 1.0070 have the same numerical value. However, 1.007 is written to the thousandths place, while 1.0070 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.007 is ten times as large as 0.1007.
1.007 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seven thousandths.