Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 672/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.672 in Words
1.672 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.672 in words is one point six seven two.
1.672 Place-Value Breakdown
The digits 1 form the whole-number part, while 6 in the tenth place, 7 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 | 7 | hundredth | 7/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.672?
1.672 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.672
1.672 = 1 + 6/10 + 7/100 + 2/1000
1.672 = 1 + 672/1000
1.672 = 1 84/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.672 Simplifies to 209/125
1.672 = 1672/1000
The greatest common divisor of 1672 and 1000 is 8.
1672 ÷ 8 = 209
1000 ÷ 8 = 125
Therefore, 1672/1000 = 209/125.
As a mixed fraction, the value is 1 84/125.
1.672 as a Percentage
To convert 1.672 to a percentage, multiply it by 100.
1.672 × 100 = 167.2
Therefore, 1.672 = 167.2%.
Decimals Equivalent to 1.672
1.672 = 1.6720 = 1.67200
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 |
|---|---|---|---|
| 1.672 | thousandths | 1672/1000 | 209/125 |
| 1.6720 | ten-thousandths | 16720/10000 | 209/125 |
| 1.67200 | hundred-thousandths | 167200/100000 | 209/125 |
1.672 on a Number Line
1.672 lies between 1 and 2. It is 0.328 below 2 and 0.672 above 1.
11.6722
1.672 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1672 | zero point one six seven two | one thousand six hundred seventy-two ten-thousandths | 209/1250 | 16.72% | ten times smaller than 1.672 |
| 1.672 | one point six seven two | one and six hundred seventy-two thousandths | 209/125 | 167.2% | current value |
| 1.6720 | one point six seven two zero | one and six thousand seven hundred twenty ten-thousandths | 209/125 | 167.2% | same numerical value, written to the ten-thousandths place |
| 16.72 | sixteen point seven two | sixteen and seventy-two hundredths | 418/25 | 1672% | ten times larger than 1.672 |
Quick Practice
How is 1.672 read digit by digit?
One point six seven two.
What is the place-value word form of 1.672?
One and six hundred seventy-two thousandths.
What fraction is 1.672 in lowest terms?
209/125.
What percentage is equal to 1.672?
167.2%.
What is 1.672 as a mixed fraction?
1 84/125.
Between which whole numbers does 1.672 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.672 in words?
1.672 in words is one point six seven two.
Why is 1.672 called one and six hundred seventy-two thousandths?
Because the digit 6 is in the thousandths place. Therefore, 1.672 represents one and six hundred seventy-two thousandths.
What fraction is 1.672?
1.672 is 1672/1000 exactly and 209/125 in lowest terms.
Can 1672/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 209/125.
What percentage is 1.672?
1.672 is equal to 167.2%.
Is 1.672 the same as 1.6720?
Yes. 1.672 and 1.6720 have the same numerical value. However, 1.672 is written to the thousandths place, while 1.6720 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.672 larger than 0.1672?
Yes. 1.672 is ten times as large as 0.1672.
What type of decimal is 1.672?
1.672 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and six hundred seventy-two thousandths.