Question

Write the following in standard form (i) 0 .0035 (ii) 365.05

Answer 1

Step-by-step explanation:

0.0035×10000=35

365.05×10=36505

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Answer 2

Given:

Two decimals: (i) 0.0035 (ii) 365.05

To find:

The given decimals in standard form

Solution:

The standard form of 0.0035 is 7/2000 and 365.05 is 7301/20.

We can find the solution by following the steps given below-

We know that the standard form of a number means writing the number in its simplest form.

The simplest form of a fraction is obtained by dividing the common multiples of the numerator and the denominator of the fraction.

To obtain the standard form, we need to convert these decimals into fractions.

(i) 0.0035

On removing the decimal, we get

=35/10000

On simplifying further, we get

=5×7/5×2000

=7/2000

(ii) 365.05

On removing the decimal, we get

=36505/100

On simplifying further, we get

=5×7301/5×20

=7301/20

Therefore, the standard form of 0.0035 is 7/2000, and 365.05 is 7301/20.