Decimal in the thousandths place
0.402 in Words
0.402 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.402 in words is zero point four zero two.
0.402 Place-Value Breakdown
The decimal digits place 4 in the tenth place, 0 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.402?
0.402 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.402
0.402 = 4/10 + 2/1000
0.402 = 0 + 402/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.402 Simplifies to 201/500
0.402 = 402/1000
The greatest common divisor of 402 and 1000 is 2.
402 ÷ 2 = 201
1000 ÷ 2 = 500
Therefore, 402/1000 = 201/500.
0.402 as a Percentage
To convert 0.402 to a percentage, multiply it by 100.
0.402 × 100 = 40.2
Therefore, 0.402 = 40.2%.
Decimals Equivalent to 0.402
0.402 = 0.4020 = 0.40200
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 |
|---|---|---|---|
| 0.402 | thousandths | 402/1000 | 201/500 |
| 0.4020 | ten-thousandths | 4020/10000 | 201/500 |
| 0.40200 | hundred-thousandths | 40200/100000 | 201/500 |
Visual Model of 0.402
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.402 on a Number Line
0.402 lies between 0.401 and 0.403. It is 0.598 below 1 and 0.402 above 0.
On a number line from 0 to 1, it appears 40.2% of the way from 0 to 1.
How Far Is 0.402 from 1?
1 − 0.402 = 0.598
1 − 201/500 = 299/500
0.402 is five hundred ninety-eight thousandths below 1. The remaining part is 598/1000 = 299/500 = 59.8%.
0.402 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0402 | zero point zero four zero two | four hundred two ten-thousandths | 201/5000 | 4.02% | ten times smaller than 0.402 |
| 0.402 | zero point four zero two | four hundred two thousandths | 201/500 | 40.2% | current value |
| 0.4020 | zero point four zero two zero | four thousand twenty ten-thousandths | 201/500 | 40.2% | same numerical value, written to the ten-thousandths place |
| 4.02 | four point zero two | four and two hundredths | 201/50 | 402% | ten times larger than 0.402 |
Quick Practice
How is 0.402 read digit by digit?
Zero point four zero two.
What is the place-value word form of 0.402?
Four hundred two thousandths.
What fraction is 0.402 in lowest terms?
201/500.
What percentage is equal to 0.402?
40.2%.
Which is greater: 0.402 or 0.0402?
0.402 is ten times as large.
Is 0.402 equal to 0.4020?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.402 in words?
0.402 in words is zero point four zero two.
Why is 0.402 called four hundred two thousandths?
Because the digit 4 is in the thousandths place. Therefore, 0.402 represents four hundred two thousandths.
What fraction is 0.402?
0.402 is 402/1000 exactly and 201/500 in lowest terms.
Can 402/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 201/500.
What percentage is 0.402?
0.402 is equal to 40.2%.
Is 0.402 the same as 0.4020?
Yes. 0.402 and 0.4020 have the same numerical value. However, 0.402 is written to the thousandths place, while 0.4020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.402 larger than 0.0402?
Yes. 0.402 is ten times as large as 0.0402.
What type of decimal is 0.402?
0.402 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents four hundred two thousandths.