Presentation on theme: "3-7 Before the Bell Each square root is between two integers. Name the two integers. Use a calculator to find each value. Round to the nearest."— Presentation transcript:
1 3-7Before the BellEach square root is between two integers. Name the two integers.Use a calculator to find each value Round to the nearest tenth.10 and 112. – 15–4 and –31.44. – 123–11.1
2 3-7 Today’s learning Target: I can Classify (name) numbers Determine if a number is rational or irrational.
3 Vocabulary 3-7 Real Numbers: Natural Numbers 1, 2, 3, 4, 5… Whole Numbers0, 1, 2, 3, 4, 5…Integers… -3, -2, -1, 0, 1, 2, 3, 4, 5…Rational number- any number that can be written as a ratio (or fraction)- They never end or repeat.Irrational number
4 Recall that rational numbers can be written as fractions Recall that rational numbers can be written as fractions. Rational numbers can also be written as decimals that either terminate or repeat.4 5233 = 3.8= 0.61.44 = 1.2
5 3-7VocabularyThe set of real numbers consists of the set of rational numbers and the set of irrational numbers.
6 3-7 I’ll show you. Write all names that apply to each number. 1. 5 5 is a whole number that is not a perfect square.irrational, real2.–12.75–12.75 is a terminating decimal.rational, real16 2= = 24 216 23.Natural, whole, integer, rational, real
7 3-7 Try this with a partner. Write all names that apply to each number.4.99 = 3Natural, whole, integer, rational, real5.–35.9–35.9 is a terminating decimal.rational, real81 3= = 39 381 36.natural, whole, integer, rational, real
8 3-7I’ll show you.State if each number is rational, irrational, or not a real number.7.21irrational0 30 3= 08.rational
9 3-7 Try this with a partner. State if each number is rational, irrational, or not a real number.9.–4not a real number4 92 310.rational
10 3-7State if each number is rational, irrational, or not a real number.11.2323 is a whole number that is not a perfect square.irrational9 012.undefined, so not a real number
11 The Density Property of real numbers states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3.
12 Additional Example 3: Applying the Density Property of Real Numbers Find a real number between and3 52 5There are many solutions. One solution is halfway between the two numbers. To find it, add the numbers and divide by 2.2 5÷ 23 55 5= ÷ 21 2= 7 ÷ 2 = 331 52 543 54 531 2A real number between and is 3 .3 52 51 2
13 Did you master today’s learning target? 3-7Did you master today’s learning target?Lesson QuizWrite all names that apply to each number.1.22. –16 2real, irrationalreal, integer, rationalState if each number is rational, irrational, or not a real number.25 04.3.4 • 9not a real numberrational