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Numbers

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Published in: Mathematics
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Square Roots 1 Cube Roots Further powers and roots

Divya J / Dubai

15 years of teaching experience

Qualification: CAIE and Pearson Examiner for IGCSE an AS Levels, Masters in Mathematics

Teaches: SAT, ACT, Maths, IGCSE/AS/AL, Physics, Biology, Chemistry, Mathematics

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  1. Mathematics Lecture No Numbers (Powers and Roots) Today's Targets O Square Roots Cube Roots O Further powers and roots .- 02
  2. Further Powers and Roots Numbers can be raised by other powers too. Therefore, 5 raised to the power of 6 can be written as 56 and means 5 • 5 • 5 • 5 • 5 • 5. You will find a button on your calculator to help you to do this. On most calculators, it will look like yx. Numbers can be rooted by other values as well. The fourth root of a number can be written using the symbol 4 W. You will find a button on your calculator to help you to calculate with roots too. On most calculators, it will look like {,ry.
  3. Question Without using a calculator, find: 225 0.01 (iii) 0.81
  4. Question Calculate the following: (ii) (iv)
  5. Question Without using a calculator, find 1000000 3 64 125
  6. Question Which is greater and by how much? (a) 80 x 44 or24 x 34 (b) 625 x 36 or 729 x 44
  7. [SIG, 23, Q 1] Find the cube root of 4913. .
  8. [W15, 23, Q 10] Find the value of [11
  9. Question Work out the following: a 64 d 0.16+0.014 b 35+24 (266)9 c (34)2
  10. Question Using a calculator if necessary, work out: a 26+28 c "i x 43
  11. Question Patrick has to work out the exact value of 64 Patrick says. of64is 4 Explain what is wrong with what Patrick says. mark)
  12. Question Simplify 82 x Give your answer in the form where a is an integer. Show each Stage Of your working clearly. 13
  13. Revision Powers of a number is when that number is multiplied by itself repeatedly. Roots of a number are the opposite of powers. Every positive number has two square roots. They will have the same digits but one is positive and one is negative. Cube root of 125 is a number that when cubed equals 125. A nth root of a number (n sqrt) is a number that when raised to the power n equals the original number. V The nth root can be written as an index of ln.

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