A Familiar Fraction Equivalent
The reduced form 43/25 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
1.72 in Words
1.72 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
1.72 in words is one point seven two.
1.72 Place-Value Breakdown
The digits 1 form the whole-number part, while 7 in the tenth place and 2 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 2 | hundredth | 2/100 |
What Kind of Decimal Is 1.72?
1.72 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 1.72
1.72 = 1 + 7/10 + 2/100
1.72 = 1 + 72/100
1.72 = 1 18/25
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 1.72 Simplifies to 43/25
1.72 = 172/100
The greatest common divisor of 172 and 100 is 4.
172 ÷ 4 = 43
100 ÷ 4 = 25
Therefore, 172/100 = 43/25.
As a mixed fraction, the value is 1 18/25.
1.72 as a Percentage
To convert 1.72 to a percentage, multiply it by 100.
1.72 × 100 = 172
Therefore, 1.72 = 172%.
Decimals Equivalent to 1.72
1.72 = 1.720 = 1.7200
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 |
|---|---|---|---|
| 1.72 | hundredths | 172/100 | 43/25 |
| 1.720 | thousandths | 1720/1000 | 43/25 |
| 1.7200 | ten-thousandths | 17200/10000 | 43/25 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 72/100. In place-value words, "and" marks that boundary.
1.72 on a Number Line
1.72 lies between 1 and 2. It is 0.28 below 2 and 0.72 above 1.
11.722
1.72 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.172 | zero point one seven two | one hundred seventy-two thousandths | 43/250 | 17.2% | ten times smaller than 1.72 |
| 1.72 | one point seven two | one and seventy-two hundredths | 43/25 | 172% | current value |
| 1.720 | one point seven two zero | one and seven hundred twenty thousandths | 43/25 | 172% | same numerical value, written to the thousandths place |
| 17.2 | seventeen point two | seventeen and two tenths | 86/5 | 1720% | ten times larger than 1.72 |
Quick Practice
How is 1.72 read digit by digit?
One point seven two.
What is the place-value word form of 1.72?
One and seventy-two hundredths.
What fraction is 1.72 in lowest terms?
43/25.
What percentage is equal to 1.72?
172%.
What is 1.72 as a mixed fraction?
1 18/25.
Between which whole numbers does 1.72 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.72 in words?
1.72 in words is one point seven two.
Why is 1.72 called one and seventy-two hundredths?
Because the digit 7 is in the hundredths place. Therefore, 1.72 represents one and seventy-two hundredths.
What fraction is 1.72?
1.72 is 172/100 exactly and 43/25 in lowest terms.
Can 172/100 be simplified?
Yes. Divide its numerator and denominator by 4 to get 43/25.
What percentage is 1.72?
1.72 is equal to 172%.
Is 1.72 the same as 1.720?
Yes. 1.72 and 1.720 have the same numerical value. However, 1.72 is written to the hundredths place, while 1.720 is written to the thousandths place and may communicate greater recorded precision.
Is 1.72 larger than 0.172?
Yes. 1.72 is ten times as large as 0.172.
What type of decimal is 1.72?
1.72 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and seventy-two hundredths.