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Mathematics

Standard VIII. Mathematics. General form or Expanded form of 729 = 7 x 100 + 2 x10 + 9. Playing with Numbers. Fill in the blanks. 2 --- 54 = _x 1000 + 9 x ___+ 5 x __+ 4. 92_7 = _x 1000 + _ x ___+ 3 x __+ __. 12_5 = _x 1000 + _ x ___+ 0 x __+ 5. U sing letters for digits.

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Mathematics

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  1. Standard VIII Mathematics

  2. General form or Expanded form of 729 = 7 x 100 + 2 x10 + 9 Playing with Numbers Fill in the blanks 2 --- 54 = _x 1000 + 9 x ___+ 5 x __+ 4 92_7 = _x 1000 + _ x ___+ 3 x __+ __ 12_5 = _x 1000 + _ x ___+ 0 x __+ 5

  3. Using letters for digits • We can write numbers where a digit is replaced by an alphabet/ letter. • Each letter represents only one digit. • 375 = 3p5 then p = 7.

  4. Test of divisibility Tests of divisibility of any number by 2, 3, 5, 9, 10

  5. What is Divisibility? Divisibility means that after dividing, there will beNOremainder. factors

  6. Can you tell by just looking at this number if it is divisible by 2? by 5? by 10? by 3 ? by 9? By 6? By 4? The divisibility rules can help YOU !!! 356,821

  7. The divisibility rules help you learn shortcuts to tell when a number can be divided by another number with no remainder. • The divisibility rules

  8. A number is divisible by 2 if the number ends with 0,2,4,6,or8 18 ÷ 2 = 9 22 ÷ 2 = 11 (Notice that both of these numbers are even.) 21 ÷ 2 = 10 R1 (Not an even number.) Divisibility by 2

  9. Are these numbers divisibleby 2? 127  (Not an evennumber) 937  (Not an evennumber) 4678

  10. Divisibility by 5 A number is divisible by 5 if it ends in 0 or5. 25 ÷ 5 = 5 70 ÷ 5 = 14 23 ÷ 5 = 4 R=3 

  11. A number is divisible by 10 if its unit digit is 0. Divisibility by 10

  12. Divisibility By:      

  13. Divisibility by 3 A number is divisible by 3 if the sum of the digits of number is divisible by 3. Is the number 135 divisible by 3? Add the digits: 1 + 3 + 5 = 9 Yes, 135 is divisible by 3 because the sum of the digits is divisible by 3.

  14. A number is divisible by 9 if the sum of its digits is divisible by 9. 369 is divisible by 9 because 3 + 6 + 9 =18 1 + 8 = 9 AND 9 is divisible by 9 Divisibility by 9

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