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# 2.7 find square roots and compare real numbers day 1

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### 2.7 find square roots and compare real numbers day 1

1. 1. Finding Square Roots and Comparing Real Numbers <br />Section 2.7<br />P. 110<br />
2. 2. Objectives<br />Evaluate & approximate square roots<br />Looking at the number “sets” again and understanding the members of each set.<br />
3. 3. Square root: If b2 = a, then b is a square root of a<br />Example:<br /> If 32 = 9, then 3 is a square root of 9.<br />
4. 4. Vocabulary:<br />Positive square root<br />Negative square root<br />Radicand<br />RadicalSymbols:<br />Undefined – why??<br />±<br />
5. 5. More vocabulary:<br />Perfect Squares – numbers whose square roots are integers or quotients of integers<br />Irrational Number – a number that cannot be written as the quotient of two integers (it never terminates or repeats)<br />REALS - the set of all rational and irrational numbers. (see P. 112)<br />
6. 6. Evaluate & approximate square roots<br />
7. 7. Evaluate & approximate square roots<br />Approximate the square root to the nearest integer<br />
8. 8. Looking at the number “sets” again and understanding the members of each set<br />Counting<br />
9. 9. Looking at the number “sets” again and <br />understanding the members of each set<br />Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , , – .<br />Integer?<br />Real Number?<br />Whole Number?<br />Irrational Number?<br />Rational Number?<br />Number<br /><br /><br /><br />24<br />81<br />100<br /><br />No<br />No<br />Yes<br />No<br />Yes<br />24<br />Yes<br />Yes<br />Yes<br />No<br />Yes<br /><br />100<br />No<br />Yes<br />No<br />Yes<br />Yes<br /><br />81<br />EXAMPLE 3<br />
10. 10. 9<br />9<br />9.<br />Tell whether each of the following numbers. A rational<br />number,an irrational number, an integer, or a whole<br />number: ,5.2, 0, , 4.1,. There order the <br />number from least to greatest.<br /> 2<br /> 2<br />–<br />–<br /><br />7<br /><br />20<br />20 <br /><br />4.4<br />=<br />0<br /><br />7<br />2.6<br />–<br />=<br />4.1<br />–2<br />–8<br />–1<br />4<br />3<br />1<br />2<br />–3<br />–4<br />–5<br />–6<br />–7<br />–9<br />5<br />0<br />5.2<br />Looking at the number “sets” again and understanding the members of each set<br />EXAMPLE 4<br />Graph and order real numbers<br />GUIDED PRACTICE<br />SOLUTION<br />Begin by graphing the numbers on a number line.<br />
11. 11. Looking at the number “sets” again and<br /> understanding the members of each set<br />,<br />4<br />4<br />,<br />,<br />Order the numbers from least to greatest:<br />–<br /> 3<br /> 3<br />.<br />,<br />–2.5<br />.<br /><br />5<br /><br />13<br /><br />9<br /><br />5<br /><br />9<br /><br />13<br />ANSWER<br />Read the numbers from left to right:<br />–2.5,<br />–<br />,<br />,<br />,<br />EXAMPLE 4<br />SOLUTION<br />Begin by graphing the numbers on a number line.<br />
12. 12. Assignment: P. 113 (#1-27)<br />May want to use a chart for 24-27<br />Integer?<br />Real Number?<br />Whole Number?<br />Irrational Number?<br />Rational Number?<br />Number<br /><br />No<br />No<br />Yes<br />No<br />Yes<br />24<br />Yes<br />Yes<br />Yes<br />No<br />Yes<br /><br />100<br />No<br />Yes<br />No<br />Yes<br />Yes<br /><br />81<br />
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