A Familiar Fraction Equivalent
The reduced form 167/100 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
1.67 in Words
1.67 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
1.67 in words is one point six seven.
1.67 Place-Value Breakdown
The digits 1 form the whole-number part, while 6 in the tenth place and 7 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 7 | hundredth | 7/100 |
What Kind of Decimal Is 1.67?
1.67 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 1.67
1.67 = 1 + 6/10 + 7/100
1.67 = 1 + 67/100
1.67 = 1 67/100
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
Why 167/100 Is Already in Lowest Terms
There are 2 decimal places, so the exact fraction is 167/100.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 67/100.
1.67 as a Percentage
To convert 1.67 to a percentage, multiply it by 100.
1.67 × 100 = 167
Therefore, 1.67 = 167%.
Decimals Equivalent to 1.67
1.67 = 1.670 = 1.6700
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 |
|---|---|---|---|
| 1.67 | hundredths | 167/100 | 167/100 |
| 1.670 | thousandths | 1670/1000 | 167/100 |
| 1.6700 | ten-thousandths | 16700/10000 | 167/100 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 67/100. In place-value words, "and" marks that boundary.
1.67 on a Number Line
1.67 lies between 1 and 2. It is 0.33 below 2 and 0.67 above 1.
11.672
1.67 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.167 | zero point one six seven | one hundred sixty-seven thousandths | 167/1000 | 16.7% | ten times smaller than 1.67 |
| 1.67 | one point six seven | one and sixty-seven hundredths | 167/100 | 167% | current value |
| 1.670 | one point six seven zero | one and six hundred seventy thousandths | 167/100 | 167% | same numerical value, written to the thousandths place |
| 16.7 | sixteen point seven | sixteen and seven tenths | 167/10 | 1670% | ten times larger than 1.67 |
Quick Practice
How is 1.67 read digit by digit?
One point six seven.
What is the place-value word form of 1.67?
One and sixty-seven hundredths.
What fraction is 1.67 in lowest terms?
167/100.
What percentage is equal to 1.67?
167%.
What is 1.67 as a mixed fraction?
1 67/100.
Between which whole numbers does 1.67 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.67 in words?
1.67 in words is one point six seven.
Why is 1.67 called one and sixty-seven hundredths?
Because the digit 6 is in the hundredths place. Therefore, 1.67 represents one and sixty-seven hundredths.
What fraction is 1.67?
1.67 is 167/100 exactly and 167/100 in lowest terms.
Is 167/100 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.67?
1.67 is equal to 167%.
Is 1.67 the same as 1.670?
Yes. 1.67 and 1.670 have the same numerical value. However, 1.67 is written to the hundredths place, while 1.670 is written to the thousandths place and may communicate greater recorded precision.
Is 1.67 larger than 0.167?
Yes. 1.67 is ten times as large as 0.167.
What type of decimal is 1.67?
1.67 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and sixty-seven hundredths.