Decimal Notation
Decimals are a convenient way to represent fractions and mixed numbers with denominators that are powers of 10. The decimal point separates the whole number part from the fractional part.
Place Value
In decimal notation, each digit to the right of the decimal point represents a specific place value. The second digit to the right of the decimal point represents the number of hundredths.
Example
Let’s consider the number 0.35. The digit 3 to the right of the decimal point represents 3 tenths, and the digit 5 represents 5 hundredths. Therefore, 0.35 can be read as “thirty-five hundredths.”
Writing Hundredths as a Decimal
To write hundredths as a decimal, place the digit representing the number of hundredths to the right of the decimal point. For example, to write 7 hundredths as a decimal, we would write 0.07.
Conclusion
Hundredths can be easily represented as decimals by placing the digit representing the number of hundredths to the right of the decimal point. This allows for a concise and standardized way to express fractions and mixed numbers with denominators that are powers of 10.
References
Key Facts
- Decimal Notation: Decimals are a shorthand way to write fractions and mixed numbers with denominators that are powers of 10. The decimal point separates the whole number part from the fractional part.
- Place Value: Each digit to the right of the decimal point represents a specific place value. The second digit to the right of the decimal point represents the number of hundredths.
- Example: Let’s take the number 0.35. The digit 3 to the right of the decimal point represents 3 tenths, and the digit 5 represents 5 hundredths. So, 0.35 can be read as “thirty-five hundredths.”
To summarize, to write hundredths as a decimal, you place the digit representing the number of hundredths to the right of the decimal point.
- SplashLearn: Hundredth
- Varsity Tutors: Place Value: Decimals
- Khan Academy: Decimal Place Value Review
FAQs
What is a hundredth?
A hundredth is one part of a whole that has been divided into 100 equal parts. It is represented by the fraction 1/100.
How do you write hundredths as a decimal?
To write hundredths as a decimal, place the digit representing the number of hundredths to the right of the decimal point. For example, to write 7 hundredths as a decimal, we would write 0.07.
What is the place value of the digit to the right of the decimal point?
The place value of the digit to the right of the decimal point is tenths. The second digit to the right of the decimal point is hundredths, the third digit is thousandths, and so on.
How do you read a decimal number with hundredths?
To read a decimal number with hundredths, read the whole number part as usual, and then read the digits to the right of the decimal point as “tenths,” “hundredths,” “thousandths,” and so on. For example, the number 0.35 would be read as “thirty-five hundredths.”
How do you convert a fraction to a decimal?
To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert the fraction 3/4 to a decimal, we would divide 3 by 4, which gives us 0.75.
How do you convert a mixed number to a decimal?
To convert a mixed number to a decimal, first convert the fraction part to a decimal. Then, add the whole number part to the decimal part. For example, to convert the mixed number 2 3/4 to a decimal, we would first convert the fraction 3/4 to a decimal (0.75), and then add 2 to 0.75, which gives us 2.75.
How do you round a decimal number to the nearest hundredth?
To round a decimal number to the nearest hundredth, look at the digit in the thousandths place. If it is 5 or greater, round up the hundredths place by 1. If it is less than 5, leave the hundredths place as it is. For example, the number 0.347 would be rounded to 0.35, while the number 0.342 would be rounded to 0.34.
What are some examples of hundredths in real life?
Hundredths are used in many real-life situations. For example, we use hundredths to measure the length of objects (e.g., 2.54 centimeters), the weight of objects (e.g., 0.25 kilograms), and the temperature (e.g., 20.35 degrees Celsius).