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## Use integers and rational numbers

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**Use integers and rational numbers**Section 2.1**Most Important Points**• Number Classification system • Opposites • Absolute Value • Conditional Statements**The Concept**• Today we’re going to discuss the nature of numbers • We’re first going to talk about how we can classify numbers • We’ll then take a look at how mathematicians classify numbers**Classify**If you were going to classify numbers, how would you do it?**Mathematical Classification**In mathematics we use this general system Real Numbers Rational Numbers Integers Irrational Numbers Whole Numbers Counting numbers**Bellwork Solution**• What kind of number is shown below**Bellwork Solution**• What kind of number is shown below**Bellwork Solution**• What kind of number is shown below**Bellwork Solution**• What kind of number is shown below**Bellwork Solution**• What kind of number is shown below**The Number line**To aid us in our look at opposites and absolute value, we must only look to the number line**Opposites**• The opposite of a number is the number that is in the same position on the other side of 0 • e.g. The opposite of 4 is -4 Axis of symmetry Vertex**Bellwork Solution**• Complete the statement using <, >, or = • 1.3 ____ 1.03**Bellwork Solution**• Complete the statement using <, >, or = • 5/8______6/9**Bellwork Solution**• Order from least to greatest: ½, .04, 3/7, .45**Bellwork Solution**• A hobby store has balsa wood strips in three thicknesses (in inches): 3/16, 5/32 and 1/8. Which strip is the thickest?**ABS**• Absolute Value • The measure of a distance a number is from 0 • Functionally, the positive value of the number • e.g. The absolute value of 8 is 8 • Denoted by bars on either side of a number Axis of symmetry Vertex**Example**• Find the indicated value Axis of symmetry Vertex**Bellwork Solution**• What is the opposite of the number below**Bellwork Solution**• What is the opposite of the number below**Bellwork Solution**• What is the absolute value of the number below**Bellwork Solution**• What is the absolute value of the number below**Definition**• Conditional Statement • Logical statement that uses a hypothesis and a conclusion • Most conditional statements follow an if-then format • The if part of the statement is the hypothesis and the then portion is the conclusion • Through these conditional statements we can assess validity (truthfulness) If you took good notes, then the test was easier Hypothesis Conclusion Axis of symmetry Vertex**Example**• Assess the validity of the statement below • If a number is a rational number, then the number is an integer Axis of symmetry Vertex**On your own**• Assess the validity of the statement • If a number is an integer, then the number is a rational number**On your own**• Assess the validity of the statement • If a number is negative, then it is a whole number**Most Important Points**• Number Classification system • Opposites • Absolute Value • Conditional Statements**Homework**2.1 • 1-4, 6-22 even, 23-34, 36-48 even, 53, 54