Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 178/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.178 in Words
1.178 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.178 in words is one point one seven eight.
1.178 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 7 in the hundredth place, and 8 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 | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.178?
1.178 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.178
1.178 = 1 + 1/10 + 7/100 + 8/1000
1.178 = 1 + 178/1000
1.178 = 1 89/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.178 Simplifies to 589/500
1.178 = 1178/1000
The greatest common divisor of 1178 and 1000 is 2.
1178 ÷ 2 = 589
1000 ÷ 2 = 500
Therefore, 1178/1000 = 589/500.
As a mixed fraction, the value is 1 89/500.
1.178 as a Percentage
To convert 1.178 to a percentage, multiply it by 100.
1.178 × 100 = 117.8
Therefore, 1.178 = 117.8%.
Decimals Equivalent to 1.178
1.178 = 1.1780 = 1.17800
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 |
|---|---|---|---|
| 1.178 | thousandths | 1178/1000 | 589/500 |
| 1.1780 | ten-thousandths | 11780/10000 | 589/500 |
| 1.17800 | hundred-thousandths | 117800/100000 | 589/500 |
1.178 on a Number Line
1.178 lies between 1 and 2. It is 0.822 below 2 and 0.178 above 1.
11.1782
1.178 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1178 | zero point one one seven eight | one thousand one hundred seventy-eight ten-thousandths | 589/5000 | 11.78% | ten times smaller than 1.178 |
| 1.178 | one point one seven eight | one and one hundred seventy-eight thousandths | 589/500 | 117.8% | current value |
| 1.1780 | one point one seven eight zero | one and one thousand seven hundred eighty ten-thousandths | 589/500 | 117.8% | same numerical value, written to the ten-thousandths place |
| 11.78 | eleven point seven eight | eleven and seventy-eight hundredths | 589/50 | 1178% | ten times larger than 1.178 |
Quick Practice
How is 1.178 read digit by digit?
One point one seven eight.
What is the place-value word form of 1.178?
One and one hundred seventy-eight thousandths.
What fraction is 1.178 in lowest terms?
589/500.
What percentage is equal to 1.178?
117.8%.
What is 1.178 as a mixed fraction?
1 89/500.
Between which whole numbers does 1.178 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.178 in words?
1.178 in words is one point one seven eight.
Why is 1.178 called one and one hundred seventy-eight thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.178 represents one and one hundred seventy-eight thousandths.
What fraction is 1.178?
1.178 is 1178/1000 exactly and 589/500 in lowest terms.
Can 1178/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 589/500.
What percentage is 1.178?
1.178 is equal to 117.8%.
Is 1.178 the same as 1.1780?
Yes. 1.178 and 1.1780 have the same numerical value. However, 1.178 is written to the thousandths place, while 1.1780 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.178 larger than 0.1178?
Yes. 1.178 is ten times as large as 0.1178.
What type of decimal is 1.178?
1.178 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred seventy-eight thousandths.