Why the Zeros After the Point Matter
1.02 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 hundredths place
1.02 in Words
1.02 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
1.02 in words is one point zero two.
1.02 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place and 2 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 2 | hundredth | 2/100 |
What Kind of Decimal Is 1.02?
1.02 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 1.02
1.02 = 1 + 2/100
1.02 = 1 1/50
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 1.02 Simplifies to 51/50
1.02 = 102/100
The greatest common divisor of 102 and 100 is 2.
102 ÷ 2 = 51
100 ÷ 2 = 50
Therefore, 102/100 = 51/50.
As a mixed fraction, the value is 1 1/50.
1.02 as a Percentage
To convert 1.02 to a percentage, multiply it by 100.
1.02 × 100 = 102
Therefore, 1.02 = 102%.
Decimals Equivalent to 1.02
1.02 = 1.020 = 1.0200
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 |
|---|---|---|---|
| 1.02 | hundredths | 102/100 | 51/50 |
| 1.020 | thousandths | 1020/1000 | 51/50 |
| 1.0200 | ten-thousandths | 10200/10000 | 51/50 |
A Familiar Fraction Equivalent
The reduced form 51/50 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 2/100. In place-value words, "and" marks that boundary.
1.02 on a Number Line
1.02 lies between 1 and 2. It is 0.98 below 2 and 0.02 above 1.
11.022
1.02 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.102 | zero point one zero two | one hundred two thousandths | 51/500 | 10.2% | ten times smaller than 1.02 |
| 1.02 | one point zero two | one and two hundredths | 51/50 | 102% | current value |
| 1.020 | one point zero two zero | one and twenty thousandths | 51/50 | 102% | same numerical value, written to the thousandths place |
| 10.2 | ten point two | ten and two tenths | 51/5 | 1020% | ten times larger than 1.02 |
Quick Practice
How is 1.02 read digit by digit?
One point zero two.
What is the place-value word form of 1.02?
One and two hundredths.
What fraction is 1.02 in lowest terms?
51/50.
What percentage is equal to 1.02?
102%.
What is 1.02 as a mixed fraction?
1 1/50.
Between which whole numbers does 1.02 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.02 in words?
1.02 in words is one point zero two.
Why is 1.02 called one and two hundredths?
Because the digit 2 is in the hundredths place. Therefore, 1.02 represents one and two hundredths.
What fraction is 1.02?
1.02 is 102/100 exactly and 51/50 in lowest terms.
Can 102/100 be simplified?
Yes. Divide its numerator and denominator by 2 to get 51/50.
What percentage is 1.02?
1.02 is equal to 102%.
Is 1.02 the same as 1.020?
Yes. 1.02 and 1.020 have the same numerical value. However, 1.02 is written to the hundredths place, while 1.020 is written to the thousandths place and may communicate greater recorded precision.
Is 1.02 larger than 0.102?
Yes. 1.02 is ten times as large as 0.102.
What type of decimal is 1.02?
1.02 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and two hundredths.