Integers, Fractions, and Decimals: Foundations of Number Systems

TL;DR

You'll learn about three main types of numbers: whole numbers (integers), parts of whole numbers (fractions), and numbers with decimal points (decimals). These number types help you describe quantities more precisely, from counting full items to measuring parts of them. Understanding how they work is key to solving many everyday math problems.

1. The Mental Model

Imagine you have a full box of chocolates. That's a whole number. If you eat some, you might have fractions left, like half the box. If you weigh the box, you might get a number with a decimal point, like 0.75 kg, which is a decimal.

2. The Core Material

You use different kinds of numbers to represent different things. Let's break down the main ones you'll encounter.

What are Integers?

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Integers are all the whole numbers, both positive and negative, including zero. Think of them as steps on a ladder: you can go up (positive), down (negative), or stay put (zero).
* Positive Integers: 1, 2, 3, 4, ... (Numbers greater than zero)
* Negative Integers: -1, -2, -3, -4, ... (Numbers less than zero)
* Zero: 0 (Neither positive nor negative)

Integers are great for counting things that can't be cut into pieces, like people, cars, or full boxes of chocolates.

What are Fractions?

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Fractions represent parts of a whole. Imagine sharing a pizza; if you take two out of eight slices, that's 2/8 of the pizza.
* A fraction has two parts: a numerator (top num