2.7 find square roots and compare real numbers day 1
- 1. Finding Square Roots and Comparing Real Numbers Section 2.7P. 110
- 2. ObjectivesEvaluate & approximate square rootsLooking at the number “sets” again and understanding the members of each set.
- 3. Square root: If b2 = a, then b is a square root of aExample: If 32 = 9, then 3 is a square root of 9.
- 4. Vocabulary:Positive square rootNegative square rootRadicandRadicalSymbols:Undefined – why??±
- 5. More vocabulary:Perfect Squares – numbers whose square roots are integers or quotients of integersIrrational Number – a number that cannot be written as the quotient of two integers (it never terminates or repeats)REALS - the set of all rational and irrational numbers. (see P. 112)
- 6. Evaluate & approximate square roots
- 7. Evaluate & approximate square rootsApproximate the square root to the nearest integer
- 8. Looking at the number “sets” again and understanding the members of each setCounting
- 9. Looking at the number “sets” again and understanding the members of each setTell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , , – .Integer?Real Number?Whole Number?Irrational Number?Rational Number?Number2481100NoNoYesNoYes24YesYesYesNoYes100NoYesNoYesYes81EXAMPLE 3
- 10. 999.Tell whether each of the following numbers. A rationalnumber,an irrational number, an integer, or a wholenumber: ,5.2, 0, , 4.1,. There order the number from least to greatest. 2 2––72020 4.4=072.6–=4.1–2–8–14312–3–4–5–6–7–9505.2Looking at the number “sets” again and understanding the members of each setEXAMPLE 4Graph and order real numbersGUIDED PRACTICESOLUTIONBegin by graphing the numbers on a number line.
- 11. Looking at the number “sets” again and understanding the members of each set,44,,Order the numbers from least to greatest:– 3 3.,–2.5.51395913ANSWERRead the numbers from left to right:–2.5,–,,,EXAMPLE 4SOLUTIONBegin by graphing the numbers on a number line.
- 12. Assignment: P. 113 (#1-27)May want to use a chart for 24-27Integer?Real Number?Whole Number?Irrational Number?Rational Number?NumberNoNoYesNoYes24YesYesYesNoYes100NoYesNoYesYes81