Question

"Question 1 Express the following numbers in standard form. (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000

Class 8 Exponents and Powers Page 200"

Answer 1

A number expressed in the form of k × 10ⁿ, where k is a terminating decimal such that 1 ≤ k <10 and n is any Integer , is said to be in scientific notation or standard form  of notation.

In standard exponential notation, the number is always written with only one digit to the left of the decimal.

If the decimal point moves to the left or the number is large, add the number of places the decimal move to the current exponent of ten.

If the decimal point moves to the right or the number is small, subtract the number of places the decimal moves from the current exponent of ten.

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Solution:

i)
0.0000000000085

0.0000000000085=8.5 ×10^-12

 

ii)

0.00000000000942

0.00000000000942=9.42×10^-12

 

iii)

6020000000000000

 

6020000000000000 =6.02×10^15

 

iv)

0.00000000837

 

0.00000000837 =8.37 ×10^-9

 

v)

31860000000

 

31860000000 =3.186×10^10

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Hope this will help you.....

Answer 2

Hey friend! ☺

HOPE it helped