Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 164/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.164 in Words
1.164 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.164 in words is one point one six four.
1.164 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 6 in the hundredth place, and 4 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 | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.164?
1.164 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.164
1.164 = 1 + 1/10 + 6/100 + 4/1000
1.164 = 1 + 164/1000
1.164 = 1 41/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.164 Simplifies to 291/250
1.164 = 1164/1000
The greatest common divisor of 1164 and 1000 is 4.
1164 ÷ 4 = 291
1000 ÷ 4 = 250
Therefore, 1164/1000 = 291/250.
As a mixed fraction, the value is 1 41/250.
1.164 as a Percentage
To convert 1.164 to a percentage, multiply it by 100.
1.164 × 100 = 116.4
Therefore, 1.164 = 116.4%.
Decimals Equivalent to 1.164
1.164 = 1.1640 = 1.16400
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 |
|---|---|---|---|
| 1.164 | thousandths | 1164/1000 | 291/250 |
| 1.1640 | ten-thousandths | 11640/10000 | 291/250 |
| 1.16400 | hundred-thousandths | 116400/100000 | 291/250 |
1.164 on a Number Line
1.164 lies between 1 and 2. It is 0.836 below 2 and 0.164 above 1.
11.1642
1.164 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1164 | zero point one one six four | one thousand one hundred sixty-four ten-thousandths | 291/2500 | 11.64% | ten times smaller than 1.164 |
| 1.164 | one point one six four | one and one hundred sixty-four thousandths | 291/250 | 116.4% | current value |
| 1.1640 | one point one six four zero | one and one thousand six hundred forty ten-thousandths | 291/250 | 116.4% | same numerical value, written to the ten-thousandths place |
| 11.64 | eleven point six four | eleven and sixty-four hundredths | 291/25 | 1164% | ten times larger than 1.164 |
Quick Practice
How is 1.164 read digit by digit?
One point one six four.
What is the place-value word form of 1.164?
One and one hundred sixty-four thousandths.
What fraction is 1.164 in lowest terms?
291/250.
What percentage is equal to 1.164?
116.4%.
What is 1.164 as a mixed fraction?
1 41/250.
Between which whole numbers does 1.164 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.164 in words?
1.164 in words is one point one six four.
Why is 1.164 called one and one hundred sixty-four thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.164 represents one and one hundred sixty-four thousandths.
What fraction is 1.164?
1.164 is 1164/1000 exactly and 291/250 in lowest terms.
Can 1164/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 291/250.
What percentage is 1.164?
1.164 is equal to 116.4%.
Is 1.164 the same as 1.1640?
Yes. 1.164 and 1.1640 have the same numerical value. However, 1.164 is written to the thousandths place, while 1.1640 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.164 larger than 0.1164?
Yes. 1.164 is ten times as large as 0.1164.
What type of decimal is 1.164?
1.164 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred sixty-four thousandths.