1 2. Find only rational number between 3 1/2and 32/3.3 Express 5005 as a product of its prime factors. 4. State Euclid's division Lemma. 5. Expand log 15. 6. Explain why 3 x 5x7 + 7 is a composite number? 7. The H.C.F of 306, 657 is 9, then find their L.C.M. 8. Define fundamental theorem of arithmetic? 9. Write the any two logarithm laws what you know? 10. Find the values of log
100.001 and log,64.
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Since we want the five rational number between 2 and 3
The numbers of denominator 5+1=7
So 2=
1×6
2×6
=
6
12
And 3=
1×6
3×6
=
6
18
We know that 12<13<14<15<17<18
And
6
12
<
6
13
<
6
14
<
6
15
<
6
16
<
6
17
<
6
18
Hence five rational number between 2 and 3 are
6
13
,
6
14
,
6
15
,
6
16
,
6
17
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