Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 667/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.667 in Words
1.667 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.667 in words is one point six six seven.
1.667 Place-Value Breakdown
The digits 1 form the whole-number part, while 6 in the tenth place, 6 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.667?
1.667 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.667
1.667 = 1 + 6/10 + 6/100 + 7/1000
1.667 = 1 + 667/1000
1.667 = 1 667/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1667/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1667/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 667/1000.
1.667 as a Percentage
To convert 1.667 to a percentage, multiply it by 100.
1.667 × 100 = 166.7
Therefore, 1.667 = 166.7%.
Decimals Equivalent to 1.667
1.667 = 1.6670 = 1.66700
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 |
|---|---|---|---|
| 1.667 | thousandths | 1667/1000 | 1667/1000 |
| 1.6670 | ten-thousandths | 16670/10000 | 1667/1000 |
| 1.66700 | hundred-thousandths | 166700/100000 | 1667/1000 |
1.667 on a Number Line
1.667 lies between 1 and 2. It is 0.333 below 2 and 0.667 above 1.
11.6672
1.667 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1667 | zero point one six six seven | one thousand six hundred sixty-seven ten-thousandths | 1667/10000 | 16.67% | ten times smaller than 1.667 |
| 1.667 | one point six six seven | one and six hundred sixty-seven thousandths | 1667/1000 | 166.7% | current value |
| 1.6670 | one point six six seven zero | one and six thousand six hundred seventy ten-thousandths | 1667/1000 | 166.7% | same numerical value, written to the ten-thousandths place |
| 16.67 | sixteen point six seven | sixteen and sixty-seven hundredths | 1667/100 | 1667% | ten times larger than 1.667 |
Quick Practice
How is 1.667 read digit by digit?
One point six six seven.
What is the place-value word form of 1.667?
One and six hundred sixty-seven thousandths.
What fraction is 1.667 in lowest terms?
1667/1000.
What percentage is equal to 1.667?
166.7%.
What is 1.667 as a mixed fraction?
1 667/1000.
Between which whole numbers does 1.667 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.667 in words?
1.667 in words is one point six six seven.
Why is 1.667 called one and six hundred sixty-seven thousandths?
Because the digit 6 is in the thousandths place. Therefore, 1.667 represents one and six hundred sixty-seven thousandths.
What fraction is 1.667?
1.667 is 1667/1000 exactly and 1667/1000 in lowest terms.
Is 1667/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.667?
1.667 is equal to 166.7%.
Is 1.667 the same as 1.6670?
Yes. 1.667 and 1.6670 have the same numerical value. However, 1.667 is written to the thousandths place, while 1.6670 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.667 larger than 0.1667?
Yes. 1.667 is ten times as large as 0.1667.
What type of decimal is 1.667?
1.667 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and six hundred sixty-seven thousandths.