Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 679/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.679 in Words
1.679 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.679 in words is one point six seven nine.
1.679 Place-Value Breakdown
The digits 1 form the whole-number part, while 6 in the tenth place, 7 in the hundredth place, and 9 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 | 9 | thousandth | 9/1000 |
What Kind of Decimal Is 1.679?
1.679 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.679
1.679 = 1 + 6/10 + 7/100 + 9/1000
1.679 = 1 + 679/1000
1.679 = 1 679/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1679/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1679/1000.
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 1 679/1000.
1.679 as a Percentage
To convert 1.679 to a percentage, multiply it by 100.
1.679 × 100 = 167.9
Therefore, 1.679 = 167.9%.
Decimals Equivalent to 1.679
1.679 = 1.6790 = 1.67900
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 |
|---|---|---|---|
| 1.679 | thousandths | 1679/1000 | 1679/1000 |
| 1.6790 | ten-thousandths | 16790/10000 | 1679/1000 |
| 1.67900 | hundred-thousandths | 167900/100000 | 1679/1000 |
1.679 on a Number Line
1.679 lies between 1 and 2. It is 0.321 below 2 and 0.679 above 1.
11.6792
1.679 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1679 | zero point one six seven nine | one thousand six hundred seventy-nine ten-thousandths | 1679/10000 | 16.79% | ten times smaller than 1.679 |
| 1.679 | one point six seven nine | one and six hundred seventy-nine thousandths | 1679/1000 | 167.9% | current value |
| 1.6790 | one point six seven nine zero | one and six thousand seven hundred ninety ten-thousandths | 1679/1000 | 167.9% | same numerical value, written to the ten-thousandths place |
| 16.79 | sixteen point seven nine | sixteen and seventy-nine hundredths | 1679/100 | 1679% | ten times larger than 1.679 |
Quick Practice
How is 1.679 read digit by digit?
One point six seven nine.
What is the place-value word form of 1.679?
One and six hundred seventy-nine thousandths.
What fraction is 1.679 in lowest terms?
1679/1000.
What percentage is equal to 1.679?
167.9%.
What is 1.679 as a mixed fraction?
1 679/1000.
Between which whole numbers does 1.679 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.679 in words?
1.679 in words is one point six seven nine.
Why is 1.679 called one and six hundred seventy-nine thousandths?
Because the digit 6 is in the thousandths place. Therefore, 1.679 represents one and six hundred seventy-nine thousandths.
What fraction is 1.679?
1.679 is 1679/1000 exactly and 1679/1000 in lowest terms.
Is 1679/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.679?
1.679 is equal to 167.9%.
Is 1.679 the same as 1.6790?
Yes. 1.679 and 1.6790 have the same numerical value. However, 1.679 is written to the thousandths place, while 1.6790 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.679 larger than 0.1679?
Yes. 1.679 is ten times as large as 0.1679.
What type of decimal is 1.679?
1.679 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and six hundred seventy-nine thousandths.