Question

Express the given in the scientific notation:(i) 0.0048(ii) 234,000(iii) 8008(iv) 500.0(v) 6.0012

Answer 1

Expressing them into scientific notation :

1) 0.0048 = 4.8×10^-3

2) 234,000= 2.34×10^5

3) 8008 = 8.008×10³

4) 500.0 = 5×10²

5) 6.0012 = 60012× 10^-4

What is scientific notation ?

=> It is a method of representing numbers into decimal form , especially in the values of 10 .

Where it is used ?

=> In the subject physics .

=> In the subject chemistry.

=> In engineering related works .

=> Used by Mathematics.

Thanks !!

Answer 2

Answer:

The given numbers can be expressed in the scientific notation as -

(i) 0.0048 = 4.8 × 10⁻³

(ii) 234,000 = 2.34 × 10⁵

(iii) 8008 = 8.008 × 10³

(iv) 500.0 = 5 × 10²

(v) 6.0012 = 6.0012 × 10⁰ = 6.0012

Explanation:

As we have learned before, there could arise calculation difficulties and errors in the case of denoting scientific values in the respective ethnic numerical notations.

For example, 250000 can be denoted as “250,000” or “2,50,000” or even “25,00,00”, based on the numerical notation system we follow.

Hence, we need a uniform denoting system for numerical under the scientific system.

Hence, scientific notation is to denote the values in the powers of 10 while reducing the whole numbers to decimals.

Thus, $250000 = 2,50,000 = 250,000 = 25,00,00 = 2.5 \times 10^5$, irrespective of the notation system, thereby avoiding confusion and errors.

So, keeping the above in mind, we can denote the aforementioned numbers to be

(i) 0.0048 = 4.8 × 10⁻³

(ii) 234,000 = 2.34 × 10⁵

(iii) 8008 = 8.008 × 10³

(iv) 500.0 = 5 × 10²

(v) 6.0012 = 6.0012 × 10⁰ = 6.0012

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