Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 175/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.175 in Words
1.175 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.175 in words is one point one seven five.
1.175 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 7 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 | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.175?
1.175 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.175
1.175 = 1 + 1/10 + 7/100 + 5/1000
1.175 = 1 + 175/1000
1.175 = 1 7/40
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.175 Simplifies to 47/40
1.175 = 1175/1000
The greatest common divisor of 1175 and 1000 is 25.
1175 ÷ 25 = 47
1000 ÷ 25 = 40
Therefore, 1175/1000 = 47/40.
As a mixed fraction, the value is 1 7/40.
1.175 as a Percentage
To convert 1.175 to a percentage, multiply it by 100.
1.175 × 100 = 117.5
Therefore, 1.175 = 117.5%.
Decimals Equivalent to 1.175
1.175 = 1.1750 = 1.17500
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 |
|---|---|---|---|
| 1.175 | thousandths | 1175/1000 | 47/40 |
| 1.1750 | ten-thousandths | 11750/10000 | 47/40 |
| 1.17500 | hundred-thousandths | 117500/100000 | 47/40 |
1.175 on a Number Line
1.175 lies between 1 and 2. It is 0.825 below 2 and 0.175 above 1.
11.1752
1.175 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1175 | zero point one one seven five | one thousand one hundred seventy-five ten-thousandths | 47/400 | 11.75% | ten times smaller than 1.175 |
| 1.175 | one point one seven five | one and one hundred seventy-five thousandths | 47/40 | 117.5% | current value |
| 1.1750 | one point one seven five zero | one and one thousand seven hundred fifty ten-thousandths | 47/40 | 117.5% | same numerical value, written to the ten-thousandths place |
| 11.75 | eleven point seven five | eleven and seventy-five hundredths | 47/4 | 1175% | ten times larger than 1.175 |
Quick Practice
How is 1.175 read digit by digit?
One point one seven five.
What is the place-value word form of 1.175?
One and one hundred seventy-five thousandths.
What fraction is 1.175 in lowest terms?
47/40.
What percentage is equal to 1.175?
117.5%.
What is 1.175 as a mixed fraction?
1 7/40.
Between which whole numbers does 1.175 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.175 in words?
1.175 in words is one point one seven five.
Why is 1.175 called one and one hundred seventy-five thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.175 represents one and one hundred seventy-five thousandths.
What fraction is 1.175?
1.175 is 1175/1000 exactly and 47/40 in lowest terms.
Can 1175/1000 be simplified?
Yes. Divide its numerator and denominator by 25 to get 47/40.
What percentage is 1.175?
1.175 is equal to 117.5%.
Is 1.175 the same as 1.1750?
Yes. 1.175 and 1.1750 have the same numerical value. However, 1.175 is written to the thousandths place, while 1.1750 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.175 larger than 0.1175?
Yes. 1.175 is ten times as large as 0.1175.
What type of decimal is 1.175?
1.175 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred seventy-five thousandths.