Decimal in the hundredths place
120688.20 in Words
120688.20 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
120688.20 in words is one hundred twenty thousand six hundred eighty-eight point two zero.
120688.20 has the same numerical value as 120688.2, but it is written to the hundredths place.
120688.20 Place-Value Breakdown
The digits 1, 2, 0, 6, 8, and 8 form the whole-number part, while 2 in the tenth place and 0 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | hundred-thousands | 100,000 |
| Whole part | 2 | ten-thousands | 20,000 |
| Whole part | 0 | thousands | 0 |
| Whole part | 6 | hundreds | 600 |
| Whole part | 8 | tens | 80 |
| Whole part | 8 | ones | 8 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
What Kind of Decimal Is 120688.20?
120688.20 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 120688.20
120688.20 = 100000 + 20000 + 600 + 80 + 8 + 2/10
120688.20 = 120688 + 20/100
120688.20 = 120688 1/5
120688.20 = 12068820/100
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundredths precision.
How 120688.20 Simplifies to 603441/5
120688.20 = 12068820/100
The greatest common divisor of 12068820 and 100 is 20.
12068820 ÷ 20 = 603441
100 ÷ 20 = 5
Therefore, 12068820/100 = 603441/5.
As a mixed fraction, the value is 120688 1/5.
120688.20 as a Percentage
To convert 120688.20 to a percentage, multiply it by 100.
120688.20 × 100 = 12068820
Therefore, 120688.20 = 12068820%.
Decimals Equivalent to 120688.20
120688.2 = 120688.20 = 120688.200
120688.20 and 120688.2 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 120688.2 | tenths | 1206882/10 | 603441/5 |
| 120688.20 | hundredths | 12068820/100 | 603441/5 |
| 120688.200 | thousandths | 120688200/1000 | 603441/5 |
A Familiar Fraction Equivalent
The reduced form 603441/5 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 120688.20 was written to the hundredths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 120688 with the fractional part 20/100. In place-value words, "and" marks that boundary.
120688.20 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 12068.82 | twelve thousand sixty-eight point eight two | twelve thousand sixty-eight and eighty-two hundredths | 603441/50 | 1206882% | ten times smaller than 120688.20 |
| 120688.2 | one hundred twenty thousand six hundred eighty-eight point two | one hundred twenty thousand six hundred eighty-eight and two tenths | 603441/5 | 12068820% | same numerical value, fewer written decimal places |
| 120688.20 | one hundred twenty thousand six hundred eighty-eight point two zero | one hundred twenty thousand six hundred eighty-eight and twenty hundredths | 603441/5 | 12068820% | current value |
| 120688.200 | one hundred twenty thousand six hundred eighty-eight point two zero zero | one hundred twenty thousand six hundred eighty-eight and two hundred thousandths | 603441/5 | 12068820% | same numerical value, written to the thousandths place |
| 1206882.0 | one million two hundred six thousand eight hundred eighty-two point zero | one million two hundred six thousand eight hundred eighty-two | 1206882 | 120688200% | ten times larger than 120688.20 |
Quick Practice
How is 120688.20 read digit by digit?
One hundred twenty thousand six hundred eighty-eight point two zero.
What is the place-value word form of 120688.20?
One hundred twenty thousand six hundred eighty-eight and twenty hundredths.
What fraction is 120688.20 in lowest terms?
603441/5.
What percentage is equal to 120688.20?
12068820%.
What is 120688.20 as a mixed fraction?
120688 1/5.
Between which whole numbers does 120688.20 lie?
Between 120688 and 120689.
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Frequently Asked Questions
How do you write 120688.20 in words?
120688.20 in words is one hundred twenty thousand six hundred eighty-eight point two zero.
Why is 120688.20 called one hundred twenty thousand six hundred eighty-eight and twenty hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as one hundred twenty thousand six hundred eighty-eight and twenty hundredths.
What fraction is 120688.20?
120688.20 is 12068820/100 exactly and 603441/5 in lowest terms.
Can 12068820/100 be simplified?
Yes. Divide its numerator and denominator by 20 to get 603441/5.
What percentage is 120688.20?
120688.20 is equal to 12068820%.
Is 120688.20 the same as 120688.200?
Yes. 120688.20 and 120688.200 have the same numerical value. However, 120688.20 is written to the hundredths place, while 120688.200 is written to the thousandths place and may communicate greater recorded precision.
Is 120688.20 larger than 12068.82?
Yes. 120688.20 is ten times as large as 12068.82.
What type of decimal is 120688.20?
120688.20 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents one hundred twenty thousand six hundred eighty-eight and twenty hundredths.