Question

1. Evaluate :

(i) (0.9)²

(ii) (0.2)³ x 5

(iii) 6.3 ÷ (0.3)²

2. What is PYTHAGORAS THEOREM ???

Let's see who is going to answer first with Step-by-step Explanation!!!​

Answer 1

Required Solution:

The question says that we need to evaluate the following in usual form instead of exponential form.

1. Evaluate :

$\pmb{\sf{(i)\;{(0.9)}^{2}}}$

$\pmb{\sf{(ii)\;{(0.2)}^{3}\times 5}}$

$\pmb{\sf{(iii)\;6.3 \div {(0.3)}^{2}}}$

Explanation:

The given questions are in power form, We need to multiply the numbers according to their powers.

How to convert a number which is in exponential form into usual form? Let's take an example (2)², It means 2 × 2 i.e 4, In case of (2)³, It means 2 × 2 × 2 i.e 8$.$

Step by step explanation:

$\pmb{\sf{(i)\;{(0.9)}^{2}}}$

This means 0.9 × 0.9, Which is,

⟶ 0.9 × 0.9

⟶ 0.081

$\pmb{\sf{(ii)\;{(0.2)}^{3}\times 5}}$

This means 0.2 × 0.2 × 0.2 × 5, Which is,

⟶ 0.2 × 0.2 × 0.2 × 5

⟶ 0.04 × 0.2 × 5

⟶ 0.008 × 5

⟶ 0.04

$\pmb{\sf{(iii)\;6.3 \div {(0.3)}^{2}}}$

This means 6.3 ÷ 0.3 × 0.3, Which is,

⟶ 6.3 ÷ 0.3 × 0.3

As per BODMAS we should divide first,

⟶ 21 × 0.3

⟶ 6.3

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2. What is PYTHAGORAS THEOREM ?

Pythagoras theorem is a theorem which states that Hypotenuse² of a triangle is equal to sum of perpendicular ² and base² of the triangle.

It is denoted as ⟶ AC² = AB² + BC²