1 / 10

– ALGEBRA I – Unit 2 – Section 1

– ALGEBRA I – Unit 2 – Section 1. Number Families. In this section, we will be looking at…. Joke of the Day. Number Families. Number Families. NUMBER FAMILIES –. groups of numbers that have similar characteristics. COUNTING NUMBERS.

stephen-potts
Download Presentation

– ALGEBRA I – Unit 2 – Section 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. – ALGEBRA I – Unit 2 – Section 1 Number Families In this section, we will be looking at… Joke of the Day • Number Families

  2. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics COUNTING NUMBERS • Counting numbers are nice, round numbers that start at one and go as high as you can count. • Examples of counting numbers include: 1 2 3 4 … 28 … 174 … 1245 … • There are no negative numbers, no decimals, and no fractions in this group.

  3. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics WHOLE NUMBERS • Whole numbers are nice, round numbers that start at zero and go as high as you can count. • Examples of whole numbers include: 0 1 2 3 … 34 … 213 … 5478 … • There are no negative numbers, no decimals, and no fractions in this group.

  4. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics INTEGERS • Integers are nice, round numbers that include positive numbers, zero, and negative numbers. • Examples of integers include: … –3 –2 –1 0 1 2 3 … • There are no decimals and no fractions in this group.

  5. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics RATIONAL NUMBERS • Rational numbers include any number that can be written as a fraction. • Examples of rational numbers include: ½ ¾ 0.7 4.8 –2 7/3 2½ • A number does not have to be written in fraction form to be in this group. The key is that you have to be ABLE TO write the number as a fraction.

  6. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics IRRATIONAL NUMBERS • Irrational numbers include any number that can NOT be written as a fraction. • Examples of irrational numbers include:  2 e i 4¾ • The easiest way to tell if a number is irrational is to look at the decimal version of the number. If the decimal never ends and never repeats, then it is an irrational number.

  7. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics REAL NUMBERS • Real numbers include just about any number you can think of. In other words, real numbers are numbers that can be graphed on a number line. • Examples of real numbers include: 0  2 6 3.4 ¾ –8 • The reason that we have a real number group is because there is 7th family called the “imaginary numbers.” We’ll talk about those later…

  8. Number Families NUMBER FAMILIES – groups of numbers that have similar characteristics • As you can see, the number families tend to overlap. • The following diagram is a way to visualize how the number families fit together: IRRATIONAL RATIONAL  REAL  INTEGERS WHOLE COUNTING • If a number falls in an inner box, then it is part of all of the surrounding boxes as well.

  9. Try These Problems… For each of the following numbers, decide which number family that they belong to. (HINT: Some numbers my be in more than one group…) • 3.24 • 6 • 7/8 • –7 • 5 • –0.3 **The answers can be found at the end of the PowerPoint.

  10. ALGEBRA IS FUN AND EASY! **Answers: 1) Counting, Whole, Integer, Rational, Real 2) Rational, Real 3) Rational, Real 4) Irrational , Real 5) Integer, Rational, Real 6) Rational, Real

More Related