Why 1.3 Is Written to the Tenths Place
One digit follows the decimal point, so that digit counts tenths. In 1.3, the final digit 3 represents 3/10.
Decimal in the tenths place
1.3 in Words
1.3 is a positive terminating decimal greater than 1. It has 1 decimal place, and its final digit is in the tenths place.
Direct Answer
1.3 in words is one point three.
1.3 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
What Kind of Decimal Is 1.3?
1.3 is a positive terminating decimal greater than 1. It is written to the tenths place.
Expanded Form of 1.3
1.3 = 1 + 3/10
1.3 = 1 3/10
The final nonzero digit is in the tenths place, so its value is expressed with a denominator of 10.
Why 13/10 Is Already in Lowest Terms
There is 1 decimal place, so the exact fraction is 13/10.
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 3/10.
1.3 as a Percentage
To convert 1.3 to a percentage, multiply it by 100.
1.3 × 100 = 130
Therefore, 1.3 = 130%.
Decimals Equivalent to 1.3
1.3 = 1.30 = 1.300
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 |
|---|---|---|---|
| 1.3 | tenths | 13/10 | 13/10 |
| 1.30 | hundredths | 130/100 | 13/10 |
| 1.300 | thousandths | 1300/1000 | 13/10 |
A Familiar Fraction Equivalent
The reduced form 13/10 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 3/10. In place-value words, "and" marks that boundary.
1.3 on a Number Line
1.3 lies between 1 and 2. It is 0.7 below 2 and 0.3 above 1.
11.32
1.3 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.13 | zero point one three | thirteen hundredths | 13/100 | 13% | ten times smaller than 1.3 |
| 1.3 | one point three | one and three tenths | 13/10 | 130% | current value |
| 1.30 | one point three zero | one and thirty hundredths | 13/10 | 130% | same numerical value, written to the hundredths place |
| 13.0 | thirteen point zero | thirteen | 13 | 1300% | ten times larger than 1.3 |
Quick Practice
How is 1.3 read digit by digit?
One point three.
What is the place-value word form of 1.3?
One and three tenths.
What fraction is 1.3 in lowest terms?
13/10.
What percentage is equal to 1.3?
130%.
What is 1.3 as a mixed fraction?
1 3/10.
Between which whole numbers does 1.3 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.3 in words?
1.3 in words is one point three.
Why is 1.3 called one and three tenths?
Because the digit 3 is in the tenths place. Therefore, 1.3 represents one and three tenths.
What fraction is 1.3?
1.3 is 13/10 exactly and 13/10 in lowest terms.
Is 13/10 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.3?
1.3 is equal to 130%.
Is 1.3 the same as 1.30?
Yes. 1.3 and 1.30 have the same numerical value. However, 1.3 is written to the tenths place, while 1.30 is written to the hundredths place and may communicate greater recorded precision.
Is 1.3 larger than 0.13?
Yes. 1.3 is ten times as large as 0.13.
What type of decimal is 1.3?
1.3 is a positive terminating decimal greater than 1. It is written to 1 decimal place and represents one and three tenths.