Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 225/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.225 in Words
1.225 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.225 in words is one point two two five.
1.225 Place-Value Breakdown
The digits 1 form the whole-number part, while 2 in the tenth place, 2 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.225?
1.225 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.225
1.225 = 1 + 2/10 + 2/100 + 5/1000
1.225 = 1 + 225/1000
1.225 = 1 9/40
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.225 Simplifies to 49/40
1.225 = 1225/1000
The greatest common divisor of 1225 and 1000 is 25.
1225 ÷ 25 = 49
1000 ÷ 25 = 40
Therefore, 1225/1000 = 49/40.
As a mixed fraction, the value is 1 9/40.
1.225 as a Percentage
To convert 1.225 to a percentage, multiply it by 100.
1.225 × 100 = 122.5
Therefore, 1.225 = 122.5%.
Decimals Equivalent to 1.225
1.225 = 1.2250 = 1.22500
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 |
|---|---|---|---|
| 1.225 | thousandths | 1225/1000 | 49/40 |
| 1.2250 | ten-thousandths | 12250/10000 | 49/40 |
| 1.22500 | hundred-thousandths | 122500/100000 | 49/40 |
1.225 on a Number Line
1.225 lies between 1 and 2. It is 0.775 below 2 and 0.225 above 1.
11.2252
1.225 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1225 | zero point one two two five | one thousand two hundred twenty-five ten-thousandths | 49/400 | 12.25% | ten times smaller than 1.225 |
| 1.225 | one point two two five | one and two hundred twenty-five thousandths | 49/40 | 122.5% | current value |
| 1.2250 | one point two two five zero | one and two thousand two hundred fifty ten-thousandths | 49/40 | 122.5% | same numerical value, written to the ten-thousandths place |
| 12.25 | twelve point two five | twelve and twenty-five hundredths | 49/4 | 1225% | ten times larger than 1.225 |
Quick Practice
How is 1.225 read digit by digit?
One point two two five.
What is the place-value word form of 1.225?
One and two hundred twenty-five thousandths.
What fraction is 1.225 in lowest terms?
49/40.
What percentage is equal to 1.225?
122.5%.
What is 1.225 as a mixed fraction?
1 9/40.
Between which whole numbers does 1.225 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.225 in words?
1.225 in words is one point two two five.
Why is 1.225 called one and two hundred twenty-five thousandths?
Because the digit 2 is in the thousandths place. Therefore, 1.225 represents one and two hundred twenty-five thousandths.
What fraction is 1.225?
1.225 is 1225/1000 exactly and 49/40 in lowest terms.
Can 1225/1000 be simplified?
Yes. Divide its numerator and denominator by 25 to get 49/40.
What percentage is 1.225?
1.225 is equal to 122.5%.
Is 1.225 the same as 1.2250?
Yes. 1.225 and 1.2250 have the same numerical value. However, 1.225 is written to the thousandths place, while 1.2250 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.225 larger than 0.1225?
Yes. 1.225 is ten times as large as 0.1225.
What type of decimal is 1.225?
1.225 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two hundred twenty-five thousandths.