Q1. Write the following numbers in scientific notations.

a.  1234 m      b.  0.000023 s     c.  469.3 x 105 m     d.  0.00985 x 107 s

Ans:

a.  1234 m

The decimal should be between 1 and 2. So, we have to move 3 steps towards the left that’s why the power will be positive 3. The result will be:
1234 m = 1.234 × 10³m

b.  0.000023 s 
The decimal should be between 2 and 3. So, we have to move 5 steps towards the right that’s why the power will be negative 5. The result will be:
0.000023 s = 2.3 × 105 s

c.  469.3 x 105 m 

The decimal should be in between 4 and 6. So, we have to move 2 steps towards left that’s why the power will be positive 2. As the number has already a power of 5,2 will be added. The result will be:   0.00985 x 107 s

d.  0.00985 x 107 s

The decimal should be in between 9 and 8. So, we have to move 3 steps towards right that’s why the power will be negative 3. As the number has already a power of 7, -3 will be added. The result will be:
0.0098 x 107 s = 0.0098 x 107 x 1000/1000 s = 0.0098 x 1000 x 107 x 10-3 s = 9.8  x 107-3  s

= 9.85 x 104 s

 

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