Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 707/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.707 in Words
1.707 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.707 in words is one point seven zero seven.
1.707 Place-Value Breakdown
The digits 1 form the whole-number part, while 7 in the tenth place, 0 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.707?
1.707 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.707
1.707 = 1 + 7/10 + 7/1000
1.707 = 1 + 707/1000
1.707 = 1 707/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1707/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1707/1000.
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 1 707/1000.
1.707 as a Percentage
To convert 1.707 to a percentage, multiply it by 100.
1.707 × 100 = 170.7
Therefore, 1.707 = 170.7%.
Decimals Equivalent to 1.707
1.707 = 1.7070 = 1.70700
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 |
|---|---|---|---|
| 1.707 | thousandths | 1707/1000 | 1707/1000 |
| 1.7070 | ten-thousandths | 17070/10000 | 1707/1000 |
| 1.70700 | hundred-thousandths | 170700/100000 | 1707/1000 |
1.707 on a Number Line
1.707 lies between 1 and 2. It is 0.293 below 2 and 0.707 above 1.
11.7072
1.707 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1707 | zero point one seven zero seven | one thousand seven hundred seven ten-thousandths | 1707/10000 | 17.07% | ten times smaller than 1.707 |
| 1.707 | one point seven zero seven | one and seven hundred seven thousandths | 1707/1000 | 170.7% | current value |
| 1.7070 | one point seven zero seven zero | one and seven thousand seventy ten-thousandths | 1707/1000 | 170.7% | same numerical value, written to the ten-thousandths place |
| 17.07 | seventeen point zero seven | seventeen and seven hundredths | 1707/100 | 1707% | ten times larger than 1.707 |
Quick Practice
How is 1.707 read digit by digit?
One point seven zero seven.
What is the place-value word form of 1.707?
One and seven hundred seven thousandths.
What fraction is 1.707 in lowest terms?
1707/1000.
What percentage is equal to 1.707?
170.7%.
What is 1.707 as a mixed fraction?
1 707/1000.
Between which whole numbers does 1.707 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.707 in words?
1.707 in words is one point seven zero seven.
Why is 1.707 called one and seven hundred seven thousandths?
Because the digit 7 is in the thousandths place. Therefore, 1.707 represents one and seven hundred seven thousandths.
What fraction is 1.707?
1.707 is 1707/1000 exactly and 1707/1000 in lowest terms.
Is 1707/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.707?
1.707 is equal to 170.7%.
Is 1.707 the same as 1.7070?
Yes. 1.707 and 1.7070 have the same numerical value. However, 1.707 is written to the thousandths place, while 1.7070 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.707 larger than 0.1707?
Yes. 1.707 is ten times as large as 0.1707.
What type of decimal is 1.707?
1.707 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seven hundred seven thousandths.