Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 168/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.168 in Words
1.168 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.168 in words is one point one six eight.
1.168 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 6 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 | 6 | hundredth | 6/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.168?
1.168 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.168
1.168 = 1 + 1/10 + 6/100 + 8/1000
1.168 = 1 + 168/1000
1.168 = 1 21/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.168 Simplifies to 146/125
1.168 = 1168/1000
The greatest common divisor of 1168 and 1000 is 8.
1168 ÷ 8 = 146
1000 ÷ 8 = 125
Therefore, 1168/1000 = 146/125.
As a mixed fraction, the value is 1 21/125.
1.168 as a Percentage
To convert 1.168 to a percentage, multiply it by 100.
1.168 × 100 = 116.8
Therefore, 1.168 = 116.8%.
Decimals Equivalent to 1.168
1.168 = 1.1680 = 1.16800
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 |
|---|---|---|---|
| 1.168 | thousandths | 1168/1000 | 146/125 |
| 1.1680 | ten-thousandths | 11680/10000 | 146/125 |
| 1.16800 | hundred-thousandths | 116800/100000 | 146/125 |
1.168 on a Number Line
1.168 lies between 1 and 2. It is 0.832 below 2 and 0.168 above 1.
11.1682
1.168 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1168 | zero point one one six eight | one thousand one hundred sixty-eight ten-thousandths | 73/625 | 11.68% | ten times smaller than 1.168 |
| 1.168 | one point one six eight | one and one hundred sixty-eight thousandths | 146/125 | 116.8% | current value |
| 1.1680 | one point one six eight zero | one and one thousand six hundred eighty ten-thousandths | 146/125 | 116.8% | same numerical value, written to the ten-thousandths place |
| 11.68 | eleven point six eight | eleven and sixty-eight hundredths | 292/25 | 1168% | ten times larger than 1.168 |
Quick Practice
How is 1.168 read digit by digit?
One point one six eight.
What is the place-value word form of 1.168?
One and one hundred sixty-eight thousandths.
What fraction is 1.168 in lowest terms?
146/125.
What percentage is equal to 1.168?
116.8%.
What is 1.168 as a mixed fraction?
1 21/125.
Between which whole numbers does 1.168 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.168 in words?
1.168 in words is one point one six eight.
Why is 1.168 called one and one hundred sixty-eight thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.168 represents one and one hundred sixty-eight thousandths.
What fraction is 1.168?
1.168 is 1168/1000 exactly and 146/125 in lowest terms.
Can 1168/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 146/125.
What percentage is 1.168?
1.168 is equal to 116.8%.
Is 1.168 the same as 1.1680?
Yes. 1.168 and 1.1680 have the same numerical value. However, 1.168 is written to the thousandths place, while 1.1680 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.168 larger than 0.1168?
Yes. 1.168 is ten times as large as 0.1168.
What type of decimal is 1.168?
1.168 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred sixty-eight thousandths.