Decimal in the hundredths place
43.20 in Words
43.20 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
43.20 in words is forty-three point two zero.
43.20 has the same numerical value as 43.2, but it is written to the hundredths place.
43.20 Place-Value Breakdown
The digits 4 and 3 form the whole-number part, while 2 in the tenth place and 0 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 3 | ones | 3 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
What Kind of Decimal Is 43.20?
43.20 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 43.20
43.20 = 40 + 3 + 2/10
43.20 = 43 + 20/100
43.20 = 43 1/5
43.20 = 4320/100
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundredths precision.
How 43.20 Simplifies to 216/5
43.20 = 4320/100
The greatest common divisor of 4320 and 100 is 20.
4320 ÷ 20 = 216
100 ÷ 20 = 5
Therefore, 4320/100 = 216/5.
As a mixed fraction, the value is 43 1/5.
43.20 as a Percentage
To convert 43.20 to a percentage, multiply it by 100.
43.20 × 100 = 4320
Therefore, 43.20 = 4320%.
Decimals Equivalent to 43.20
43.2 = 43.20 = 43.200
43.20 and 43.2 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 43.2 | tenths | 432/10 | 216/5 |
| 43.20 | hundredths | 4320/100 | 216/5 |
| 43.200 | thousandths | 43200/1000 | 216/5 |
A Familiar Fraction Equivalent
The reduced form 216/5 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 43.20 was written to the hundredths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 43 with the fractional part 20/100. In place-value words, "and" marks that boundary.
43.20 on a Number Line
43.20 lies between 43 and 44. It is 0.8 below 44 and 0.2 above 43.
43.20 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.32 | four point three two | four and thirty-two hundredths | 108/25 | 432% | ten times smaller than 43.20 |
| 43.2 | forty-three point two | forty-three and two tenths | 216/5 | 4320% | same numerical value, fewer written decimal places |
| 43.20 | forty-three point two zero | forty-three and twenty hundredths | 216/5 | 4320% | current value |
| 43.200 | forty-three point two zero zero | forty-three and two hundred thousandths | 216/5 | 4320% | same numerical value, written to the thousandths place |
| 432.0 | four hundred thirty-two point zero | four hundred thirty-two | 432 | 43200% | ten times larger than 43.20 |
Quick Practice
How is 43.20 read digit by digit?
Forty-three point two zero.
What is the place-value word form of 43.20?
Forty-three and twenty hundredths.
What fraction is 43.20 in lowest terms?
216/5.
What percentage is equal to 43.20?
4320%.
What is 43.20 as a mixed fraction?
43 1/5.
Between which whole numbers does 43.20 lie?
Between 43 and 44.
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Frequently Asked Questions
How do you write 43.20 in words?
43.20 in words is forty-three point two zero.
Why is 43.20 called forty-three and twenty hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as forty-three and twenty hundredths.
What fraction is 43.20?
43.20 is 4320/100 exactly and 216/5 in lowest terms.
Can 4320/100 be simplified?
Yes. Divide its numerator and denominator by 20 to get 216/5.
What percentage is 43.20?
43.20 is equal to 4320%.
Is 43.20 the same as 43.200?
Yes. 43.20 and 43.200 have the same numerical value. However, 43.20 is written to the hundredths place, while 43.200 is written to the thousandths place and may communicate greater recorded precision.
Is 43.20 larger than 4.32?
Yes. 43.20 is ten times as large as 4.32.
What type of decimal is 43.20?
43.20 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents forty-three and twenty hundredths.