Why the Zeros After the Point Matter
1.064 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
1.064 in Words
1.064 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.064 in words is one point zero six four.
1.064 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 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 | 0 | tenth | 0/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.064?
1.064 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 1.064
1.064 = 1 + 6/100 + 4/1000
1.064 = 1 + 64/1000
1.064 = 1 8/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.064 Simplifies to 133/125
1.064 = 1064/1000
The greatest common divisor of 1064 and 1000 is 8.
1064 ÷ 8 = 133
1000 ÷ 8 = 125
Therefore, 1064/1000 = 133/125.
As a mixed fraction, the value is 1 8/125.
1.064 as a Percentage
To convert 1.064 to a percentage, multiply it by 100.
1.064 × 100 = 106.4
Therefore, 1.064 = 106.4%.
Decimals Equivalent to 1.064
1.064 = 1.0640 = 1.06400
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 |
|---|---|---|---|
| 1.064 | thousandths | 1064/1000 | 133/125 |
| 1.0640 | ten-thousandths | 10640/10000 | 133/125 |
| 1.06400 | hundred-thousandths | 106400/100000 | 133/125 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 64/1000. In place-value words, "and" marks that boundary.
1.064 on a Number Line
1.064 lies between 1 and 2. It is 0.936 below 2 and 0.064 above 1.
11.0642
1.064 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1064 | zero point one zero six four | one thousand sixty-four ten-thousandths | 133/1250 | 10.64% | ten times smaller than 1.064 |
| 1.064 | one point zero six four | one and sixty-four thousandths | 133/125 | 106.4% | current value |
| 1.0640 | one point zero six four zero | one and six hundred forty ten-thousandths | 133/125 | 106.4% | same numerical value, written to the ten-thousandths place |
| 10.64 | ten point six four | ten and sixty-four hundredths | 266/25 | 1064% | ten times larger than 1.064 |
Quick Practice
How is 1.064 read digit by digit?
One point zero six four.
What is the place-value word form of 1.064?
One and sixty-four thousandths.
What fraction is 1.064 in lowest terms?
133/125.
What percentage is equal to 1.064?
106.4%.
What is 1.064 as a mixed fraction?
1 8/125.
Between which whole numbers does 1.064 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.064 in words?
1.064 in words is one point zero six four.
Why is 1.064 called one and sixty-four thousandths?
Because the digit 6 is in the thousandths place. Therefore, 1.064 represents one and sixty-four thousandths.
What fraction is 1.064?
1.064 is 1064/1000 exactly and 133/125 in lowest terms.
Can 1064/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 133/125.
What percentage is 1.064?
1.064 is equal to 106.4%.
Is 1.064 the same as 1.0640?
Yes. 1.064 and 1.0640 have the same numerical value. However, 1.064 is written to the thousandths place, while 1.0640 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.064 larger than 0.1064?
Yes. 1.064 is ten times as large as 0.1064.
What type of decimal is 1.064?
1.064 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and sixty-four thousandths.