(i) 0.0000000000085
To convert this small number into the standard form we need to move the decimal to its right by 12 steps.
\(= \frac{85}{10000000000000}\)
\(= 8.5 × \frac{10}{10¹³}\)
\(= 8.5 × 10^{-13} × 10\)
\(= 8.5 × 10^{-12}\)
∴ The standard form of a given number is \(8.5 × 10^{-12}\)
(ii) 0.00000000000942
\(= \frac{942}{100000000000000} \)
\(= 9.42 × \frac{10^2 }{ 10^{14}}\)
\(= 9.42 × 10^{−14} × 10^2\)
\(= 9.42 × 10^{−12}\)
∴ The standard form of a given number is \(9.42 × 10^{−12}\)
(iii) 6020000000000000
= 6.02 × 102 × 10000000000000
= 6.02 × 102 × 1013
= 6.02 × 1015
∴ The standard form of the given number is 6.2 × 1015
(iv) 0.00000000837
\(= \frac{837 }{ 100000000000}\)
\(= 8.37 × \frac{10^2 }{ 10^{11}}\)
= 8.37 × 10−11×102
= 8.37 × 10−9
∴ The standard form of a given number is 8.37 × 10−9
(v) 31860000000
= 3.186 × 103 × 107
= 3.186 ×1010
∴ The standard form of the given number is 3.186 × 1010
Look at picture 1 and recall the opening lines of the original song in Hindi. Who is the singer? Who else do you see in this picture?
Fill in the blanks using the correct form of the verbs in brackets.
My little sister is very naughty. When she ____ (come) back from school yesterday, she had _____(tear) her dress. We _____(ask) her how it had _____(happen). She ______(say) she _____ _____ (have, quarrel) with a boy. She _____ _____ (have, beat) him in a race and he _____ ____ (have, try) to push her. She _____ ____ (have, tell) the teacher and so he _____ _____ (have, chase) her, and she _____ _____ (have, fall) down and _____ _____ (have, tear) her dress.