A Familiar Fraction Equivalent
The reduced form 9/8 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Decimal in the thousandths place
1.125 in Words
1.125 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.125 in words is one point one two five.
1.125 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 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 | 1 | tenth | 1/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.125?
1.125 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.125
1.125 = 1 + 1/10 + 2/100 + 5/1000
1.125 = 1 + 125/1000
1.125 = 1 1/8
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.125 Simplifies to 9/8
1.125 = 1125/1000
The greatest common divisor of 1125 and 1000 is 125.
1125 ÷ 125 = 9
1000 ÷ 125 = 8
Therefore, 1125/1000 = 9/8.
As a mixed fraction, the value is 1 1/8.
1.125 as a Percentage
To convert 1.125 to a percentage, multiply it by 100.
1.125 × 100 = 112.5
Therefore, 1.125 = 112.5%.
Decimals Equivalent to 1.125
1.125 = 1.1250 = 1.12500
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 |
|---|---|---|---|
| 1.125 | thousandths | 1125/1000 | 9/8 |
| 1.1250 | ten-thousandths | 11250/10000 | 9/8 |
| 1.12500 | hundred-thousandths | 112500/100000 | 9/8 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 125/1000. In place-value words, "and" marks that boundary.
1.125 on a Number Line
1.125 lies between 1 and 2. It is 0.875 below 2 and 0.125 above 1.
11.1252
1.125 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1125 | zero point one one two five | one thousand one hundred twenty-five ten-thousandths | 9/80 | 11.25% | ten times smaller than 1.125 |
| 1.125 | one point one two five | one and one hundred twenty-five thousandths | 9/8 | 112.5% | current value |
| 1.1250 | one point one two five zero | one and one thousand two hundred fifty ten-thousandths | 9/8 | 112.5% | same numerical value, written to the ten-thousandths place |
| 11.25 | eleven point two five | eleven and twenty-five hundredths | 45/4 | 1125% | ten times larger than 1.125 |
Quick Practice
How is 1.125 read digit by digit?
One point one two five.
What is the place-value word form of 1.125?
One and one hundred twenty-five thousandths.
What fraction is 1.125 in lowest terms?
9/8.
What percentage is equal to 1.125?
112.5%.
What is 1.125 as a mixed fraction?
1 1/8.
Between which whole numbers does 1.125 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.125 in words?
1.125 in words is one point one two five.
Why is 1.125 called one and one hundred twenty-five thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.125 represents one and one hundred twenty-five thousandths.
What fraction is 1.125?
1.125 is 1125/1000 exactly and 9/8 in lowest terms.
Can 1125/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 9/8.
What percentage is 1.125?
1.125 is equal to 112.5%.
Is 1.125 the same as 1.1250?
Yes. 1.125 and 1.1250 have the same numerical value. However, 1.125 is written to the thousandths place, while 1.1250 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.125 larger than 0.1125?
Yes. 1.125 is ten times as large as 0.1125.
What type of decimal is 1.125?
1.125 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred twenty-five thousandths.