Decimal Numbers
Grade 8 math lesson on decimal numbers including reading, writing, comparing, and ordering decimals. Students learn decimal place value, how to convert between fractions and decimals, and how decimals are used in real-world measurements and calculations.
Key Concepts
New Concept This course explores the language of mathematics, showing how integers, fractions, decimals, and percents are different ways to represent the same underlying values. What’s next We'll begin by focusing on decimal numbers. Next, you’ll see how to read, write, compare, and convert them to fractions and percents.
Common Questions
What is a decimal number?
A decimal number includes digits after a decimal point that represent values less than one. Each position after the decimal point represents a fraction: tenths, hundredths, thousandths, etc. For example, 3.14 has 3 ones, 1 tenth, and 4 hundredths.
How do you order decimal numbers from least to greatest?
Line up all decimals by their decimal points. Compare digits from left to right, starting with the largest place value. The number with the smaller digit in the first different position is the smaller number.
How do you convert a decimal to a fraction?
Write the decimal digits as the numerator and the appropriate power of 10 as the denominator. For example, 0.75 = 75/100 = 3/4. For 0.3, write 3/10.
Where are decimal numbers used in everyday life?
Decimal numbers appear everywhere: money (dollars and cents), measurements (centimeters and meters), science (pH values), sports statistics, and any situation requiring precision beyond whole numbers.