Step: 1

The reciprocal of 5 is 1 5 .

Step: 2

Therefore, the product of 45 and 1 5 is 4 5 5 .

Step: 3

⇒ 4 5 5 = 4 5 5 × 5 5

[By rationalizing the denominator]

Step: 4

= 4 5 5 5

[Simplify.]

Step: 5

= 95

Step: 6

∴ The product of 45 and reciprocal of 5 is 95 .

Correct Answer is : 95

Step: 1

The reciprocal of 3 is 1 3 .

Step: 2

[Simplify.]

Step: 3

The product of 1 3 and 61 1 = 1 3 × 61 1 = 6 1 1 3 = 2 1 1 .

[Simplify.]

Step: 4

∴ The product of the reciprocal of 3 and 3 9 6 is 21 1 .

Correct Answer is : 21 1

Step: 1

Area of a triangle = 1 2 × base × height

[Formula.]

Step: 2

Twice the area of a triangle = base 7times; height

Step: 3

= 10 × 1 1

[Substitute base = 10 cm, height = 1 1 ]

Step: 4

= 101 1

Step: 5

∴ Twice the area of the triangle is 101 1 sq.cm

Correct Answer is : 101 1 sq.cm

- Expressions with Rational Exponents-Algebra1-Solved Examples
- Converting Radical and Rational Exponent Form-Algebra1-Solved Examples
- Adding Rational Numbers-Algebra1-Solved Examples
- Multiplying Rational Numbers-Algebra1-Solved Examples
- Finding the Sum of Rational and Irrational Numbers-Algebra1-Solved Examples

- Irrational Number