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SQUARE and square roots_094159.pptx

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SQUARE and square roots_094159.pptx

1. 1. •Also called a “perfect square” •A number that is the square of a whole number •Can be represented by arranging objects in a square
2. 2. 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 2 2 4 6 8 10 12 14 16 18 3 3 6 9 12 15 18 21 24 27 4 4 8 12 16 20 24 28 32 36 5 5 10 15 20 25 30 35 40 45 6 6 12 18 24 30 36 42 48 54 7 7 14 21 28 35 42 49 56 63 8 8 16 24 32 40 48 56 63 72 9 9 18 27 36 45 54 63 72 81
3. 3. •To square a number means to multiply it by itself 4 squared means 4 x 4 •Take the number 4 and square it
4. 4. •There is a shorter way to write 5 x 5 •52 read as 5 squared or 5 to the 2nd power 52 base exponent
5. 5. Evaluate a. 72 b. 32 c. 62 d. 82 49 9 36 64
6. 6. NUMBER SQUARED FACTORS STANDARD FORM 92 9 x 9 81 112 11 x 11 121 72 7 x 7 49 102 10 x 10 100
7. 7. •If a number is a perfect square, then you can find its square root. •A perfect square is simply a number that can be written as the square of another number
8. 8. •What are the first 10 whole numbers that are perfect squares? •12 , 22, 32, 42 , 52 , 62 , 72 , 82, 92 , 102 •1, 4, 9, 16, 25, 36, 49,64, 81,100
9. 9. The opposite operation to squaring a number is taking the square root
10. 10. What does square root means? -The square root of a number is another number which when multiplied by itself gives back the original number
11. 11. 𝟏𝟐 1 𝟏 1 𝟐𝟐 4 𝟒 2 𝟑𝟐 9 𝟗 3 𝟒𝟐 16 𝟏𝟔 4 𝟓𝟐 25 𝟐𝟓 5 𝟔𝟐 36 𝟑𝟔 6
12. 12. •The symbol used to indicate a root is the radical symbol 𝑛 𝑎 radical symbol radicand index
13. 13. •The index of a radical is a whole number greater than or equal to 2 •The index of a square root is always 2 •The square root of 49 could be written as 2 49 •But is normally written as 49
14. 14. Give the square root of the following : 1. 𝟏𝟔 2. 𝟏𝟎𝟎 3. 𝟔𝟒 4. 𝟐𝟓 4 10 8 5
15. 15. A non-perfect square is a number whose square root is not a whole number Example: 𝟒𝟎 , 𝟏𝟎, 𝟓, 𝟗𝟐
16. 16. Tell whether the principal roots of each number is rational or irrational 1. 𝟏𝟔 6. 𝟕𝟐 2. 𝟐𝟒 7. 𝟒𝟗 3. 𝟑𝟔 8. 𝟏𝟓 4. 𝟑 9. 𝟖𝟏 5 𝟏𝟐𝟏 10. 𝟏𝟎𝟎 rational irrational rational irrational rational irrational rational irrational rational rational
17. 17. Between which two consecutive integers does the square root lie Between 7 & 8 Between 8 & 9 Between 3 & 4 Between 7 & 8 Between 11 & 12 Between 15 & 16 Between 2 & 3 Between 9 & 10 Between 6 & 7 Between 10 & 11
18. 18. Between which two consecutive integers does the square root lie? 1. 𝟓𝟓 6. 𝟏𝟑𝟎 2. 𝟐𝟑 7. 𝟖𝟕 3. 𝟑 8. 𝟐𝟏𝟎 4. 𝟏𝟒 9. 𝟔𝟏 5. 𝟒𝟒 10. 𝟑𝟎𝟎 Between 7 & 8 Between 4 & 5 Between 2 & 3 Between 3 & 4 Between 6 & 7 Between 11 & 12 Between 9 & 10 Between 14 & 15 Between 7 & 8 Between 17 & 18