Question

solve all the questions in the attachment

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Answer 1

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Refer the attachment

Powers and negative exponents:

Example:-

10²=10×10=100

10¹=10=100/10

10°=1=10/10

10-¹=??

We now,

Continuing the above pattern we get,

10-¹=1/10

Similarly

10-²=1/10/10

=1/10×1/101/100

=1/10²

Question and answers:-

1)Express the following numbers in standard form:-

(1)0.00000000000=>8.5×10-¹²

(2)0.00000000000942=>9.42×10-¹²

(3)6020000000000000=>6.02×10-¹²

(4)0.00000000837=>8.37×10-9

(5)31860000000=>3.186×10(¹0)

2)Find m as So, that (+3)m+1×(-3)(5)=(-3)(7):-

Solution:-

(-3)m+1×(-3)5=(-3)7

(-3)m+1+5=(-3)7

(-3)m+6=(-3)7

Hence,m+6=7

=m=7-6=1

3)Express the following numbers in usual form:-

(1)3.02(-6)=>0.00000302

(2)4.5×10(4)=>45000

(3)3×10(-8)=>0.00000003

4)In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016mm.What is the total thickness of the stack.

Solution:

No.of.books=5

Thickness of each book=20mm (milimeter)

5 paper sheets =0.016 Thickness

Answer=1.008×10²