Why 1.8 Is Written to the Tenths Place
One digit follows the decimal point, so that digit counts tenths. In 1.8, the final digit 8 represents 8/10.
Decimal in the tenths place
1.8 in Words
1.8 is a positive terminating decimal greater than 1. It has 1 decimal place, and its final digit is in the tenths place.
Direct Answer
1.8 in words is one point eight.
1.8 Place-Value Breakdown
The digits 1 form the whole-number part, while 8 in the tenth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 8 | tenth | 8/10 |
What Kind of Decimal Is 1.8?
1.8 is a positive terminating decimal greater than 1. It is written to the tenths place.
Expanded Form of 1.8
1.8 = 1 + 8/10
1.8 = 1 4/5
The final nonzero digit is in the tenths place, so its value is expressed with a denominator of 10.
How 1.8 Simplifies to 9/5
1.8 = 18/10
The greatest common divisor of 18 and 10 is 2.
18 ÷ 2 = 9
10 ÷ 2 = 5
Therefore, 18/10 = 9/5.
As a mixed fraction, the value is 1 4/5.
1.8 as a Percentage
To convert 1.8 to a percentage, multiply it by 100.
1.8 × 100 = 180
Therefore, 1.8 = 180%.
Decimals Equivalent to 1.8
1.8 = 1.80 = 1.800
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 |
|---|---|---|---|
| 1.8 | tenths | 18/10 | 9/5 |
| 1.80 | hundredths | 180/100 | 9/5 |
| 1.800 | thousandths | 1800/1000 | 9/5 |
A Familiar Fraction Equivalent
The reduced form 9/5 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 8/10. In place-value words, "and" marks that boundary.
1.8 on a Number Line
1.8 lies between 1 and 2. It is 0.2 below 2 and 0.8 above 1.
11.82
1.8 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.18 | zero point one eight | eighteen hundredths | 9/50 | 18% | ten times smaller than 1.8 |
| 1.8 | one point eight | one and eight tenths | 9/5 | 180% | current value |
| 1.80 | one point eight zero | one and eighty hundredths | 9/5 | 180% | same numerical value, written to the hundredths place |
| 18.0 | eighteen point zero | eighteen | 18 | 1800% | ten times larger than 1.8 |
Quick Practice
How is 1.8 read digit by digit?
One point eight.
What is the place-value word form of 1.8?
One and eight tenths.
What fraction is 1.8 in lowest terms?
9/5.
What percentage is equal to 1.8?
180%.
What is 1.8 as a mixed fraction?
1 4/5.
Between which whole numbers does 1.8 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.8 in words?
1.8 in words is one point eight.
Why is 1.8 called one and eight tenths?
Because the digit 8 is in the tenths place. Therefore, 1.8 represents one and eight tenths.
What fraction is 1.8?
1.8 is 18/10 exactly and 9/5 in lowest terms.
Can 18/10 be simplified?
Yes. Divide its numerator and denominator by 2 to get 9/5.
What percentage is 1.8?
1.8 is equal to 180%.
Is 1.8 the same as 1.80?
Yes. 1.8 and 1.80 have the same numerical value. However, 1.8 is written to the tenths place, while 1.80 is written to the hundredths place and may communicate greater recorded precision.
Is 1.8 larger than 0.18?
Yes. 1.8 is ten times as large as 0.18.
What type of decimal is 1.8?
1.8 is a positive terminating decimal greater than 1. It is written to 1 decimal place and represents one and eight tenths.