A Familiar Fraction Equivalent
The reduced form 7/4 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
1.75 in Words
1.75 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
1.75 in words is one point seven five.
1.75 Place-Value Breakdown
The digits 1 form the whole-number part, while 7 in the tenth place and 5 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 5 | hundredth | 5/100 |
What Kind of Decimal Is 1.75?
1.75 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 1.75
1.75 = 1 + 7/10 + 5/100
1.75 = 1 + 75/100
1.75 = 1 3/4
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 1.75 Simplifies to 7/4
1.75 = 175/100
The greatest common divisor of 175 and 100 is 25.
175 ÷ 25 = 7
100 ÷ 25 = 4
Therefore, 175/100 = 7/4.
As a mixed fraction, the value is 1 3/4.
1.75 as a Percentage
To convert 1.75 to a percentage, multiply it by 100.
1.75 × 100 = 175
Therefore, 1.75 = 175%.
Decimals Equivalent to 1.75
1.75 = 1.750 = 1.7500
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 |
|---|---|---|---|
| 1.75 | hundredths | 175/100 | 7/4 |
| 1.750 | thousandths | 1750/1000 | 7/4 |
| 1.7500 | ten-thousandths | 17500/10000 | 7/4 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 75/100. In place-value words, "and" marks that boundary.
1.75 on a Number Line
1.75 lies between 1 and 2. It is 0.25 below 2 and 0.75 above 1.
11.752
1.75 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.175 | zero point one seven five | one hundred seventy-five thousandths | 7/40 | 17.5% | ten times smaller than 1.75 |
| 1.75 | one point seven five | one and seventy-five hundredths | 7/4 | 175% | current value |
| 1.750 | one point seven five zero | one and seven hundred fifty thousandths | 7/4 | 175% | same numerical value, written to the thousandths place |
| 17.5 | seventeen point five | seventeen and five tenths | 35/2 | 1750% | ten times larger than 1.75 |
Quick Practice
How is 1.75 read digit by digit?
One point seven five.
What is the place-value word form of 1.75?
One and seventy-five hundredths.
What fraction is 1.75 in lowest terms?
7/4.
What percentage is equal to 1.75?
175%.
What is 1.75 as a mixed fraction?
1 3/4.
Between which whole numbers does 1.75 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.75 in words?
1.75 in words is one point seven five.
Why is 1.75 called one and seventy-five hundredths?
Because the digit 7 is in the hundredths place. Therefore, 1.75 represents one and seventy-five hundredths.
What fraction is 1.75?
1.75 is 175/100 exactly and 7/4 in lowest terms.
Can 175/100 be simplified?
Yes. Divide its numerator and denominator by 25 to get 7/4.
What percentage is 1.75?
1.75 is equal to 175%.
Is 1.75 the same as 1.750?
Yes. 1.75 and 1.750 have the same numerical value. However, 1.75 is written to the hundredths place, while 1.750 is written to the thousandths place and may communicate greater recorded precision.
Is 1.75 larger than 0.175?
Yes. 1.75 is ten times as large as 0.175.
What type of decimal is 1.75?
1.75 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and seventy-five hundredths.