Question

special balance can weight small as0.00000001 gram .express the following number in standard form.




Arkaa step - step please ​

Answer 1

Answer:

1 × 10‐⁷ is answer

GOOD AFTERNOON

Answer 2

procedure 1 :- here , the number 0.00000001 can also be written as 1/10000000.

now further it can be written as 1/10⁷

now , according to rule,

1/a^( m ) = a^( -m )

therefore, 1/10⁷ = 10^(-7)

procedure 2 :- according to the standard notation, we put (.) after one digit and then write all the numbers successive to it, and then multiply that number 10^(number of numbers succeeding the decimal point)

like, 12345 = 1.2345 × 10⁴ as there r 4 no. after the decimal point.

now if the numbers succeeding the decimal point negative. like 0.0001 , ie if there r zeros before any countable numbers, we follow the same rule by putting a decimal point after that countable number but the exponent to the 10 is the number of numbers before that decimal point with a negative sign. ie 0.0001 = 0.1 × 10^( -3)

sometimes we can put point after the countable number ...like 0.0001 = 1.0 × 10^(-4) or 1 × 10^(-4)

hence your answer will be

0.00000001 = 0.1 × 10^(-7) or 1 × 10^(-8)

Hope it helped :)