Why the Zeros After the Point Matter
1.005 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
1.005 in Words
1.005 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.005 in words is one point zero zero five.
1.005 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 0 in the hundredth place, and 5 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 | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.005?
1.005 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 1.005
1.005 = 1 + 5/1000
1.005 = 1 1/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.005 Simplifies to 201/200
1.005 = 1005/1000
The greatest common divisor of 1005 and 1000 is 5.
1005 ÷ 5 = 201
1000 ÷ 5 = 200
Therefore, 1005/1000 = 201/200.
As a mixed fraction, the value is 1 1/200.
1.005 as a Percentage
To convert 1.005 to a percentage, multiply it by 100.
1.005 × 100 = 100.5
Therefore, 1.005 = 100.5%.
Decimals Equivalent to 1.005
1.005 = 1.0050 = 1.00500
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 |
|---|---|---|---|
| 1.005 | thousandths | 1005/1000 | 201/200 |
| 1.0050 | ten-thousandths | 10050/10000 | 201/200 |
| 1.00500 | hundred-thousandths | 100500/100000 | 201/200 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 5/1000. In place-value words, "and" marks that boundary.
1.005 on a Number Line
1.005 lies between 1 and 2. It is 0.995 below 2 and 0.005 above 1.
11.0052
1.005 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1005 | zero point one zero zero five | one thousand five ten-thousandths | 201/2000 | 10.05% | ten times smaller than 1.005 |
| 1.005 | one point zero zero five | one and five thousandths | 201/200 | 100.5% | current value |
| 1.0050 | one point zero zero five zero | one and fifty ten-thousandths | 201/200 | 100.5% | same numerical value, written to the ten-thousandths place |
| 10.05 | ten point zero five | ten and five hundredths | 201/20 | 1005% | ten times larger than 1.005 |
Quick Practice
How is 1.005 read digit by digit?
One point zero zero five.
What is the place-value word form of 1.005?
One and five thousandths.
What fraction is 1.005 in lowest terms?
201/200.
What percentage is equal to 1.005?
100.5%.
What is 1.005 as a mixed fraction?
1 1/200.
Between which whole numbers does 1.005 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.005 in words?
1.005 in words is one point zero zero five.
Why is 1.005 called one and five thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.005 represents one and five thousandths.
What fraction is 1.005?
1.005 is 1005/1000 exactly and 201/200 in lowest terms.
Can 1005/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 201/200.
What percentage is 1.005?
1.005 is equal to 100.5%.
Is 1.005 the same as 1.0050?
Yes. 1.005 and 1.0050 have the same numerical value. However, 1.005 is written to the thousandths place, while 1.0050 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.005 larger than 0.1005?
Yes. 1.005 is ten times as large as 0.1005.
What type of decimal is 1.005?
1.005 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five thousandths.