How did you find these values? Discuss the methods with the class. Do you find anything interesting in the table? Class 8

How did you find these values? Discuss the methods with the class. Do you find anything interesting in the table? Class 8

Question 1.

How did you find these values? Discuss the methods with the class.

Do you find anything interesting in the table?

You may have noticed that 20% of a value is double that of 10% of the same value. This will always happen as 20% (20 parts out of 100) is twice that of 10% (10 parts out of 100). Class 8

Solution:

Do as directed. Yes. Yes.

Question 2.

Using this understanding, mentally calculate how much 40% of the values in the table above would be. .

What relationship do you observe among 20%, 5% and 25% of a value?

It appears that (20% of y) + (5% of y) = 25% of y. We can verify that this property always holds:

([latex]\frac{20}{100}[/latex] × y) + ([latex]\frac{5}{100}[/latex] × y) = ([latex]\frac{25}{100}[/latex] × y) . Class 8

Solution:

40% of 100 = 40; 40% of 200 = 80;

40% of 50 = 20; 40% of 80 = 32;

40% of 10 = 4; 40% of 35 = 14 and

40% of 287 = 114[latex]\frac{4}{5}[/latex].

Relationship has been already verified above.