A Familiar Fraction Equivalent
The reduced form 41/25 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Decimal in the hundredths place
1.64 in Words
1.64 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
1.64 in words is one point six four.
1.64 Place-Value Breakdown
The digits 1 form the whole-number part, while 6 in the tenth place and 4 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 4 | hundredth | 4/100 |
What Kind of Decimal Is 1.64?
1.64 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 1.64
1.64 = 1 + 6/10 + 4/100
1.64 = 1 + 64/100
1.64 = 1 16/25
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 1.64 Simplifies to 41/25
1.64 = 164/100
The greatest common divisor of 164 and 100 is 4.
164 ÷ 4 = 41
100 ÷ 4 = 25
Therefore, 164/100 = 41/25.
As a mixed fraction, the value is 1 16/25.
1.64 as a Percentage
To convert 1.64 to a percentage, multiply it by 100.
1.64 × 100 = 164
Therefore, 1.64 = 164%.
Decimals Equivalent to 1.64
1.64 = 1.640 = 1.6400
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 |
|---|---|---|---|
| 1.64 | hundredths | 164/100 | 41/25 |
| 1.640 | thousandths | 1640/1000 | 41/25 |
| 1.6400 | ten-thousandths | 16400/10000 | 41/25 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 64/100. In place-value words, "and" marks that boundary.
1.64 on a Number Line
1.64 lies between 1 and 2. It is 0.36 below 2 and 0.64 above 1.
11.642
1.64 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.164 | zero point one six four | one hundred sixty-four thousandths | 41/250 | 16.4% | ten times smaller than 1.64 |
| 1.64 | one point six four | one and sixty-four hundredths | 41/25 | 164% | current value |
| 1.640 | one point six four zero | one and six hundred forty thousandths | 41/25 | 164% | same numerical value, written to the thousandths place |
| 16.4 | sixteen point four | sixteen and four tenths | 82/5 | 1640% | ten times larger than 1.64 |
Quick Practice
How is 1.64 read digit by digit?
One point six four.
What is the place-value word form of 1.64?
One and sixty-four hundredths.
What fraction is 1.64 in lowest terms?
41/25.
What percentage is equal to 1.64?
164%.
What is 1.64 as a mixed fraction?
1 16/25.
Between which whole numbers does 1.64 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.64 in words?
1.64 in words is one point six four.
Why is 1.64 called one and sixty-four hundredths?
Because the digit 6 is in the hundredths place. Therefore, 1.64 represents one and sixty-four hundredths.
What fraction is 1.64?
1.64 is 164/100 exactly and 41/25 in lowest terms.
Can 164/100 be simplified?
Yes. Divide its numerator and denominator by 4 to get 41/25.
What percentage is 1.64?
1.64 is equal to 164%.
Is 1.64 the same as 1.640?
Yes. 1.64 and 1.640 have the same numerical value. However, 1.64 is written to the hundredths place, while 1.640 is written to the thousandths place and may communicate greater recorded precision.
Is 1.64 larger than 0.164?
Yes. 1.64 is ten times as large as 0.164.
What type of decimal is 1.64?
1.64 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and sixty-four hundredths.