Why 0.2 Is Written to the Tenths Place
One digit follows the decimal point, so that digit counts tenths. In 0.2, the final digit 2 represents 2/10.
Decimal in the tenths place
0.2 in Words
0.2 is a positive terminating decimal less than 1. It has 1 decimal place, and its final digit is in the tenths place.
Direct Answer
0.2 in words is zero point two.
0.2 Place-Value Breakdown
The digit 2 is one place to the right of the decimal point, so it represents two tenths.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 2 | tenth | 2/10 |
What Kind of Decimal Is 0.2?
0.2 is a positive terminating decimal less than 1. It is written to the tenths place.
Expanded Form of 0.2
0.2 = 2 × 0.1
0.2 = 2/10
0.2 = 0 + 2/10
The final nonzero digit is in the tenths place, so its value is expressed with a denominator of 10.
How 0.2 Simplifies to 1/5
0.2 = 2/10
The greatest common divisor of 2 and 10 is 2.
2 ÷ 2 = 1
10 ÷ 2 = 5
Therefore, 2/10 = 1/5.
0.2 as a Percentage
To convert 0.2 to a percentage, multiply it by 100.
0.2 × 100 = 20
Therefore, 0.2 = 20%.
Decimals Equivalent to 0.2
0.2 = 0.20 = 0.200
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 |
|---|---|---|---|
| 0.2 | tenths | 2/10 | 1/5 |
| 0.20 | hundredths | 20/100 | 1/5 |
| 0.200 | thousandths | 200/1000 | 1/5 |
A Familiar Fraction Equivalent
The reduced form 1/5 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Visual Model of 0.2
Two tenths are filled, leaving eight tenths unfilled.
The unfilled part is 8/10 = 4/5 = 80%.
The filled part is 2/10 = 1/5 = 20%.
0.2 on a Number Line
0.2 lies between 0.1 and 0.3. It is 0.8 below 1 and 0.2 above 0.
On a number line from 0 to 1, it appears 20% of the way from 0 to 1.
00.21
How Far Is 0.2 from 1?
1 − 0.2 = 0.8
1 − 1/5 = 4/5
0.2 is eight tenths below 1. The remaining part is 8/10 = 4/5 = 80%.
0.2 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.02 | zero point zero two | two hundredths | 1/50 | 2% | ten times smaller than 0.2 |
| 0.2 | zero point two | two tenths | 1/5 | 20% | current value |
| 0.20 | zero point two zero | twenty hundredths | 1/5 | 20% | same numerical value, written to the hundredths place |
| 2.0 | two point zero | two | 2 | 200% | ten times larger than 0.2 |
Quick Practice
How is 0.2 read digit by digit?
Zero point two.
What is the place-value word form of 0.2?
Two tenths.
What fraction is 0.2 in lowest terms?
1/5.
What percentage is equal to 0.2?
20%.
Which is greater: 0.2 or 0.02?
0.2 is ten times as large.
Is 0.2 equal to 0.20?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.2 in words?
0.2 in words is zero point two.
Why is 0.2 called two tenths?
Because the digit 2 is in the tenths place. Therefore, 0.2 represents two tenths.
What fraction is 0.2?
0.2 is 2/10 exactly and 1/5 in lowest terms.
Can 2/10 be simplified?
Yes. Divide its numerator and denominator by 2 to get 1/5.
What percentage is 0.2?
0.2 is equal to 20%.
Is 0.2 the same as 0.20?
Yes. 0.2 and 0.20 have the same numerical value. However, 0.2 is written to the tenths place, while 0.20 is written to the hundredths place and may communicate greater recorded precision.
Is 0.2 larger than 0.02?
Yes. 0.2 is ten times as large as 0.02.
What type of decimal is 0.2?
0.2 is a positive terminating decimal less than 1. It is written to 1 decimal place and represents two tenths.