The Number System

Numbers appear everywhere in daily life—from measuring distances to tracking scores in games. But not all numbers are the same. Some are whole numbers

Numbers help us measure, compare, and solve problems in everyday life. For example, we use numbers when dividing pizza, measuring distances, or tracki

Fractions and decimals are two different ways to show the same value. Sometimes, when you divide a fraction, the decimal ends after a few digits. This

Fractions can be written as decimals. Sometimes the decimal ends, but other times it continues with a pattern that repeats forever. This is called a r

A mixed number combines a whole number and a fraction, such as 2 1/4​. Just like fractions, mixed numbers can also be written as decimals. Sometimes t

A mixed number includes a whole number and a fraction, such as 213​. When we convert mixed numbers to decimals, the decimal may sometimes repeat forev

Have you ever used a calculator and seen a number that just keeps going…and going…without repeating? That’s an example of an irrational number. These

Every number you’ve ever worked with belongs to a special “number family.” When we classify real numbers, we sort them into groups like natural number

Have you ever tried to find the square root of a number, such as 30 or 8, and realized it wasn’t a nice, whole number? That’s because not all numbers

Have you ever tried to figure out the square root of a number like 71 without a calculator? It’s not always neat, like √64 = 8. But you can estimate i

Sometimes we run into numbers that can’t be written as simple fractions. These are called irrational numbers. Square roots, such as √2, and cube roots