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Use Euclid division lemma to show that a...

Use Euclid division lemma to show that any positive even integer is of the form 6q or 6q+2 or 6q+4, where q is some intergers.

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Use Euclid division Lemma to show that any positive even integer is of the form. 2q or 2q+2 or 2q+4 where q is some integer.

Use Euclid division Lemma to show that any positive even interger is of the form 4q or 4q+2 or 4q+4 when q is some integer.

Use Euclid division lemma to show that any positive odd integer is of the form 6q+1 or 6q+5 , where q is some integers.

Use division algorithm to show that any positive odd integer is of the form 6q + 1, or 6q + 3 or 6q + 5, where q is some integer

Use Eulcid division Lemma to show that any positive odd integer is the form 2q+1 , 2q+3 or 2q+5 when q is some integer.

Show that any positive odd integer is of the form 4q+1 or 4q+3, where q is some integer.

Use Euclid's division lemma to show that the cube of any positive integer is of the form 7m or 7m+1 or 7m+6 .

Use Euclid's division lemma to show that the square of any positive integer is of the form 3p, 3p+1.

Use Euclid's division lemma to show that the square of any positive integer is of the form 5n or 5n+1 or 5n+4, where n is a whole number.

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BEYOND PUBLICATION-REAL NUMBERS-EXERCISE
  1. Use Euclid's division algorithm to find the HCF of 197 and 39006

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  2. Use Euclid's division algorithm to find the HCF of 3302 and 4064.

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  3. Use Euclid division lemma to show that any positive even integer is of...

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  4. Express each number as a prodcut of its prime factors. 648

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  5. Express each number as a prodcut of its prime factors. 864

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  6. Express each number as a prodcut of its prime factors. 450

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  7. Express each number as a prodcut of its prime factors. 882

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  8. Express each number as a prodcut of its prime factors. 1144

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  9. Find the LCM and HCF of the following integers by applying the prime f...

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  10. Find the LCM and HCF of the following integers by applying the prime f...

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  11. Find the LCM and HCF of the following integers by applying the prime f...

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  12. Find the LCM and HCF of the following integers by applying the prime f...

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  13. Find the LCM and HCF of the following integers by applying the prime f...

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  14. Explain why 19xx23xx29+17 is a composite number ?

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  15. How will you show that (31xx37xx41xx3)+(31xx37xx41xx5) is a composite...

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  16. Write the following rational numbers in their decimal form and also st...

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  17. Write the following rational numbers in their decimal form and also st...

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  18. Write the following rational numbers in their decimal form and also st...

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  19. Write the following rational numbers in their decimal form and also st...

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  20. Without actually performing long division, state whether the folloiwng...

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