Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 357/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.357 in Words
1.357 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.357 in words is one point three five seven.
1.357 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 5 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.357?
1.357 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.357
1.357 = 1 + 3/10 + 5/100 + 7/1000
1.357 = 1 + 357/1000
1.357 = 1 357/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1357/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1357/1000.
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 1 357/1000.
1.357 as a Percentage
To convert 1.357 to a percentage, multiply it by 100.
1.357 × 100 = 135.7
Therefore, 1.357 = 135.7%.
Decimals Equivalent to 1.357
1.357 = 1.3570 = 1.35700
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 |
|---|---|---|---|
| 1.357 | thousandths | 1357/1000 | 1357/1000 |
| 1.3570 | ten-thousandths | 13570/10000 | 1357/1000 |
| 1.35700 | hundred-thousandths | 135700/100000 | 1357/1000 |
1.357 on a Number Line
1.357 lies between 1 and 2. It is 0.643 below 2 and 0.357 above 1.
11.3572
1.357 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1357 | zero point one three five seven | one thousand three hundred fifty-seven ten-thousandths | 1357/10000 | 13.57% | ten times smaller than 1.357 |
| 1.357 | one point three five seven | one and three hundred fifty-seven thousandths | 1357/1000 | 135.7% | current value |
| 1.3570 | one point three five seven zero | one and three thousand five hundred seventy ten-thousandths | 1357/1000 | 135.7% | same numerical value, written to the ten-thousandths place |
| 13.57 | thirteen point five seven | thirteen and fifty-seven hundredths | 1357/100 | 1357% | ten times larger than 1.357 |
Quick Practice
How is 1.357 read digit by digit?
One point three five seven.
What is the place-value word form of 1.357?
One and three hundred fifty-seven thousandths.
What fraction is 1.357 in lowest terms?
1357/1000.
What percentage is equal to 1.357?
135.7%.
What is 1.357 as a mixed fraction?
1 357/1000.
Between which whole numbers does 1.357 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.357 in words?
1.357 in words is one point three five seven.
Why is 1.357 called one and three hundred fifty-seven thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.357 represents one and three hundred fifty-seven thousandths.
What fraction is 1.357?
1.357 is 1357/1000 exactly and 1357/1000 in lowest terms.
Is 1357/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.357?
1.357 is equal to 135.7%.
Is 1.357 the same as 1.3570?
Yes. 1.357 and 1.3570 have the same numerical value. However, 1.357 is written to the thousandths place, while 1.3570 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.357 larger than 0.1357?
Yes. 1.357 is ten times as large as 0.1357.
What type of decimal is 1.357?
1.357 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred fifty-seven thousandths.