Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 642/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.642 in Words
1.642 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.642 in words is one point six four two.
1.642 Place-Value Breakdown
The digits 1 form the whole-number part, while 6 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.642?
1.642 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.642
1.642 = 1 + 6/10 + 4/100 + 2/1000
1.642 = 1 + 642/1000
1.642 = 1 321/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.642 Simplifies to 821/500
1.642 = 1642/1000
The greatest common divisor of 1642 and 1000 is 2.
1642 ÷ 2 = 821
1000 ÷ 2 = 500
Therefore, 1642/1000 = 821/500.
As a mixed fraction, the value is 1 321/500.
1.642 as a Percentage
To convert 1.642 to a percentage, multiply it by 100.
1.642 × 100 = 164.2
Therefore, 1.642 = 164.2%.
Decimals Equivalent to 1.642
1.642 = 1.6420 = 1.64200
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 |
|---|---|---|---|
| 1.642 | thousandths | 1642/1000 | 821/500 |
| 1.6420 | ten-thousandths | 16420/10000 | 821/500 |
| 1.64200 | hundred-thousandths | 164200/100000 | 821/500 |
1.642 on a Number Line
1.642 lies between 1 and 2. It is 0.358 below 2 and 0.642 above 1.
11.6422
1.642 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1642 | zero point one six four two | one thousand six hundred forty-two ten-thousandths | 821/5000 | 16.42% | ten times smaller than 1.642 |
| 1.642 | one point six four two | one and six hundred forty-two thousandths | 821/500 | 164.2% | current value |
| 1.6420 | one point six four two zero | one and six thousand four hundred twenty ten-thousandths | 821/500 | 164.2% | same numerical value, written to the ten-thousandths place |
| 16.42 | sixteen point four two | sixteen and forty-two hundredths | 821/50 | 1642% | ten times larger than 1.642 |
Quick Practice
How is 1.642 read digit by digit?
One point six four two.
What is the place-value word form of 1.642?
One and six hundred forty-two thousandths.
What fraction is 1.642 in lowest terms?
821/500.
What percentage is equal to 1.642?
164.2%.
What is 1.642 as a mixed fraction?
1 321/500.
Between which whole numbers does 1.642 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.642 in words?
1.642 in words is one point six four two.
Why is 1.642 called one and six hundred forty-two thousandths?
Because the digit 6 is in the thousandths place. Therefore, 1.642 represents one and six hundred forty-two thousandths.
What fraction is 1.642?
1.642 is 1642/1000 exactly and 821/500 in lowest terms.
Can 1642/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 821/500.
What percentage is 1.642?
1.642 is equal to 164.2%.
Is 1.642 the same as 1.6420?
Yes. 1.642 and 1.6420 have the same numerical value. However, 1.642 is written to the thousandths place, while 1.6420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.642 larger than 0.1642?
Yes. 1.642 is ten times as large as 0.1642.
What type of decimal is 1.642?
1.642 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and six hundred forty-two thousandths.