What Are Integers?
Integers are a fascinating group of numbers that include all whole numbers, both positive and negative, as well as zero. This means that integers can be arranged in a sequence like this: ..., -3, -2, -1, 0, 1, 2, 3, .... It's important to remember that integers do not include fractions or decimal numbers, which are parts of whole numbers. You can find negative numbers in many real-life situations. For example, when we talk about temperatures that drop below freezing, we might say it's -5 °F. This means it's five degrees below zero! Another example is when a bank account shows a negative balance, like -$50, which indicates that the account is overdrawn. We even encounter negative numbers in geography when discussing places that are below sea level. A well-known example is Death Valley, which is located at -282 feet. On a number line, negative numbers are positioned to the left of zero, while positive numbers are found to the right. The further you move to the right on the number line, the greater the number becomes. For instance, -2 is greater than -5 because -2 is closer to zero. Understanding integers helps us make sense of many situations in our daily lives, from weather to banking to geography! So, the next time you see a negative number, remember that it's part of the integer family, and it has its own special place on the number line.
Context recap: Integers are a fascinating group of numbers that include all whole numbers, both positive and negative, as well as zero. This means that integers can be arranged in a sequence like this: ..., -3, -2, -1, 0, 1, 2, 3, .... It's important to remember that integers do not include fractions or decimal numbers, which are parts of whole numbers. You can find negative numbers in many real-life situations.
Why this matters: What Are Integers? helps learners in Math connect ideas from Math Foundations: From PEMDAS to Equations to decisions they make during practice and assessment. Connect ideas to real decisions and evidence.
Step-by-step approach: (1) define the goal in one sentence, (2) identify evidence that supports the goal, (3) explain how each piece of evidence changes your conclusion, and (4) verify the final answer against the original goal and constraints.