Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 402/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.402 in Words
1.402 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.402 in words is one point four zero two.
1.402 Place-Value Breakdown
The digits 1 form the whole-number part, while 4 in the tenth place, 0 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.402?
1.402 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.402
1.402 = 1 + 4/10 + 2/1000
1.402 = 1 + 402/1000
1.402 = 1 201/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.402 Simplifies to 701/500
1.402 = 1402/1000
The greatest common divisor of 1402 and 1000 is 2.
1402 ÷ 2 = 701
1000 ÷ 2 = 500
Therefore, 1402/1000 = 701/500.
As a mixed fraction, the value is 1 201/500.
1.402 as a Percentage
To convert 1.402 to a percentage, multiply it by 100.
1.402 × 100 = 140.2
Therefore, 1.402 = 140.2%.
Decimals Equivalent to 1.402
1.402 = 1.4020 = 1.40200
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 |
|---|---|---|---|
| 1.402 | thousandths | 1402/1000 | 701/500 |
| 1.4020 | ten-thousandths | 14020/10000 | 701/500 |
| 1.40200 | hundred-thousandths | 140200/100000 | 701/500 |
1.402 on a Number Line
1.402 lies between 1 and 2. It is 0.598 below 2 and 0.402 above 1.
11.4022
1.402 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1402 | zero point one four zero two | one thousand four hundred two ten-thousandths | 701/5000 | 14.02% | ten times smaller than 1.402 |
| 1.402 | one point four zero two | one and four hundred two thousandths | 701/500 | 140.2% | current value |
| 1.4020 | one point four zero two zero | one and four thousand twenty ten-thousandths | 701/500 | 140.2% | same numerical value, written to the ten-thousandths place |
| 14.02 | fourteen point zero two | fourteen and two hundredths | 701/50 | 1402% | ten times larger than 1.402 |
Quick Practice
How is 1.402 read digit by digit?
One point four zero two.
What is the place-value word form of 1.402?
One and four hundred two thousandths.
What fraction is 1.402 in lowest terms?
701/500.
What percentage is equal to 1.402?
140.2%.
What is 1.402 as a mixed fraction?
1 201/500.
Between which whole numbers does 1.402 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.402 in words?
1.402 in words is one point four zero two.
Why is 1.402 called one and four hundred two thousandths?
Because the digit 4 is in the thousandths place. Therefore, 1.402 represents one and four hundred two thousandths.
What fraction is 1.402?
1.402 is 1402/1000 exactly and 701/500 in lowest terms.
Can 1402/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 701/500.
What percentage is 1.402?
1.402 is equal to 140.2%.
Is 1.402 the same as 1.4020?
Yes. 1.402 and 1.4020 have the same numerical value. However, 1.402 is written to the thousandths place, while 1.4020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.402 larger than 0.1402?
Yes. 1.402 is ten times as large as 0.1402.
What type of decimal is 1.402?
1.402 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four hundred two thousandths.