Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 355/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.355 in Words
1.355 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.355 in words is one point three five five.
1.355 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 5 in the hundredth place, and 5 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 | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.355?
1.355 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.355
1.355 = 1 + 3/10 + 5/100 + 5/1000
1.355 = 1 + 355/1000
1.355 = 1 71/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.355 Simplifies to 271/200
1.355 = 1355/1000
The greatest common divisor of 1355 and 1000 is 5.
1355 ÷ 5 = 271
1000 ÷ 5 = 200
Therefore, 1355/1000 = 271/200.
As a mixed fraction, the value is 1 71/200.
1.355 as a Percentage
To convert 1.355 to a percentage, multiply it by 100.
1.355 × 100 = 135.5
Therefore, 1.355 = 135.5%.
Decimals Equivalent to 1.355
1.355 = 1.3550 = 1.35500
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 |
|---|---|---|---|
| 1.355 | thousandths | 1355/1000 | 271/200 |
| 1.3550 | ten-thousandths | 13550/10000 | 271/200 |
| 1.35500 | hundred-thousandths | 135500/100000 | 271/200 |
1.355 on a Number Line
1.355 lies between 1 and 2. It is 0.645 below 2 and 0.355 above 1.
11.3552
1.355 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1355 | zero point one three five five | one thousand three hundred fifty-five ten-thousandths | 271/2000 | 13.55% | ten times smaller than 1.355 |
| 1.355 | one point three five five | one and three hundred fifty-five thousandths | 271/200 | 135.5% | current value |
| 1.3550 | one point three five five zero | one and three thousand five hundred fifty ten-thousandths | 271/200 | 135.5% | same numerical value, written to the ten-thousandths place |
| 13.55 | thirteen point five five | thirteen and fifty-five hundredths | 271/20 | 1355% | ten times larger than 1.355 |
Quick Practice
How is 1.355 read digit by digit?
One point three five five.
What is the place-value word form of 1.355?
One and three hundred fifty-five thousandths.
What fraction is 1.355 in lowest terms?
271/200.
What percentage is equal to 1.355?
135.5%.
What is 1.355 as a mixed fraction?
1 71/200.
Between which whole numbers does 1.355 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.355 in words?
1.355 in words is one point three five five.
Why is 1.355 called one and three hundred fifty-five thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.355 represents one and three hundred fifty-five thousandths.
What fraction is 1.355?
1.355 is 1355/1000 exactly and 271/200 in lowest terms.
Can 1355/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 271/200.
What percentage is 1.355?
1.355 is equal to 135.5%.
Is 1.355 the same as 1.3550?
Yes. 1.355 and 1.3550 have the same numerical value. However, 1.355 is written to the thousandths place, while 1.3550 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.355 larger than 0.1355?
Yes. 1.355 is ten times as large as 0.1355.
What type of decimal is 1.355?
1.355 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred fifty-five thousandths.