Decimal in the hundredths place
14.45 in Words
14.45 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
14.45 in words is fourteen point four five.
14.45 Place-Value Breakdown
The digits 1 and 4 form the whole-number part, while 4 in the tenth place and 5 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | tens | 10 |
| Whole part | 4 | ones | 4 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 5 | hundredth | 5/100 |
What Kind of Decimal Is 14.45?
14.45 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 14.45
14.45 = 10 + 4 + 4/10 + 5/100
14.45 = 14 + 45/100
14.45 = 14 9/20
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 14.45 Simplifies to 289/20
14.45 = 1445/100
The greatest common divisor of 1445 and 100 is 5.
1445 ÷ 5 = 289
100 ÷ 5 = 20
Therefore, 1445/100 = 289/20.
As a mixed fraction, the value is 14 9/20.
14.45 as a Percentage
To convert 14.45 to a percentage, multiply it by 100.
14.45 × 100 = 1445
Therefore, 14.45 = 1445%.
Decimals Equivalent to 14.45
14.45 = 14.450 = 14.4500
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 |
|---|---|---|---|
| 14.45 | hundredths | 1445/100 | 289/20 |
| 14.450 | thousandths | 14450/1000 | 289/20 |
| 14.4500 | ten-thousandths | 144500/10000 | 289/20 |
A Familiar Fraction Equivalent
The reduced form 289/20 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 14 with the fractional part 45/100. In place-value words, "and" marks that boundary.
14.45 on a Number Line
14.45 lies between 14 and 15. It is 0.55 below 15 and 0.45 above 14.
14.45 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 1.445 | one point four four five | one and four hundred forty-five thousandths | 289/200 | 144.5% | ten times smaller than 14.45 |
| 14.45 | fourteen point four five | fourteen and forty-five hundredths | 289/20 | 1445% | current value |
| 14.450 | fourteen point four five zero | fourteen and four hundred fifty thousandths | 289/20 | 1445% | same numerical value, written to the thousandths place |
| 144.5 | one hundred forty-four point five | one hundred forty-four and five tenths | 289/2 | 14450% | ten times larger than 14.45 |
Quick Practice
How is 14.45 read digit by digit?
Fourteen point four five.
What is the place-value word form of 14.45?
Fourteen and forty-five hundredths.
What fraction is 14.45 in lowest terms?
289/20.
What percentage is equal to 14.45?
1445%.
What is 14.45 as a mixed fraction?
14 9/20.
Between which whole numbers does 14.45 lie?
Between 14 and 15.
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Frequently Asked Questions
How do you write 14.45 in words?
14.45 in words is fourteen point four five.
Why is 14.45 called fourteen and forty-five hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as fourteen and forty-five hundredths.
What fraction is 14.45?
14.45 is 1445/100 exactly and 289/20 in lowest terms.
Can 1445/100 be simplified?
Yes. Divide its numerator and denominator by 5 to get 289/20.
What percentage is 14.45?
14.45 is equal to 1445%.
Is 14.45 the same as 14.450?
Yes. 14.45 and 14.450 have the same numerical value. However, 14.45 is written to the hundredths place, while 14.450 is written to the thousandths place and may communicate greater recorded precision.
Is 14.45 larger than 1.445?
Yes. 14.45 is ten times as large as 1.445.
What type of decimal is 14.45?
14.45 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents fourteen and forty-five hundredths.