Why the Zeros After the Point Matter
1.05 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
1.05 in Words
1.05 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
1.05 in words is one point zero five.
1.05 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place and 5 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 5 | hundredth | 5/100 |
What Kind of Decimal Is 1.05?
1.05 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 1.05
1.05 = 1 + 5/100
1.05 = 1 1/20
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 1.05 Simplifies to 21/20
1.05 = 105/100
The greatest common divisor of 105 and 100 is 5.
105 ÷ 5 = 21
100 ÷ 5 = 20
Therefore, 105/100 = 21/20.
As a mixed fraction, the value is 1 1/20.
1.05 as a Percentage
To convert 1.05 to a percentage, multiply it by 100.
1.05 × 100 = 105
Therefore, 1.05 = 105%.
Decimals Equivalent to 1.05
1.05 = 1.050 = 1.0500
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 |
|---|---|---|---|
| 1.05 | hundredths | 105/100 | 21/20 |
| 1.050 | thousandths | 1050/1000 | 21/20 |
| 1.0500 | ten-thousandths | 10500/10000 | 21/20 |
A Familiar Fraction Equivalent
The reduced form 21/20 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 5/100. In place-value words, "and" marks that boundary.
1.05 on a Number Line
1.05 lies between 1 and 2. It is 0.95 below 2 and 0.05 above 1.
11.052
1.05 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.105 | zero point one zero five | one hundred five thousandths | 21/200 | 10.5% | ten times smaller than 1.05 |
| 1.05 | one point zero five | one and five hundredths | 21/20 | 105% | current value |
| 1.050 | one point zero five zero | one and fifty thousandths | 21/20 | 105% | same numerical value, written to the thousandths place |
| 10.5 | ten point five | ten and five tenths | 21/2 | 1050% | ten times larger than 1.05 |
Quick Practice
How is 1.05 read digit by digit?
One point zero five.
What is the place-value word form of 1.05?
One and five hundredths.
What fraction is 1.05 in lowest terms?
21/20.
What percentage is equal to 1.05?
105%.
What is 1.05 as a mixed fraction?
1 1/20.
Between which whole numbers does 1.05 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.05 in words?
1.05 in words is one point zero five.
Why is 1.05 called one and five hundredths?
Because the digit 5 is in the hundredths place. Therefore, 1.05 represents one and five hundredths.
What fraction is 1.05?
1.05 is 105/100 exactly and 21/20 in lowest terms.
Can 105/100 be simplified?
Yes. Divide its numerator and denominator by 5 to get 21/20.
What percentage is 1.05?
1.05 is equal to 105%.
Is 1.05 the same as 1.050?
Yes. 1.05 and 1.050 have the same numerical value. However, 1.05 is written to the hundredths place, while 1.050 is written to the thousandths place and may communicate greater recorded precision.
Is 1.05 larger than 0.105?
Yes. 1.05 is ten times as large as 0.105.
What type of decimal is 1.05?
1.05 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one and five hundredths.