Grade Six Math­e­mat­ics


Hello Boys and Girls! I hope you had a re­ward­ing week at school. I hope that you prac­ticed work­ing di­vi­sion sums.

This week’s topic will be Square Num­bers and Square Root. Square Num­bers

The prod­uct of a num­ber and it­self gives a square num­ber. e.g 1x1 =1 ; there­fore 1 is a square num­ber. 3x3 = 9; there­fore 9 is a square num­ber.

In math­e­mat­ics, a square is the re­sult of mul­ti­ply­ing a num­ber by it­self. The verb “to square” is used to de­note this op­er­a­tion. Squar­ing is the same as rais­ing to the power 2, and is de­noted by a su­per­script 2; for in­stance, the of 5 may be as 52, which is the num­ber 25. We can also rep­re­sent in di­a­gram form. Try squar­ing the fol­low­ing num­bers us­ing di­a­grams. 1. 2 2. 4 3. 6 4. 8

I hope this prac­tice will help you to un­der­stand the con­cept. Now, com plete the fol­low­ing table to the num­ber 25. Chal­lenge your­self to get all cor­rect. Square Root

The square root of a num­ber is that num­ber that is squared to get the square num­ber.

e.g. = 16; so the square root of 16 is 4. The sym­bol for square root is .

Let’s try to find the square root of the fol­low­ing num­bers, men­tally. We will check the an­swers next week.

1. 25 2. 49 3. 100 4. 144 5. 4 6. 36

We can also find the square root of num­bers by do­ing re­peated di­vi­sion. Steps:

1. Di­vide the num­ber by its prime fac­tors. ( Start with the small est)

2. Di­vide re­peat­edly un­til the an­swer is 1. 3. Ex­press the num­ber as the prod­uct of its prime fac­tors.

4. The square root is the prod­uct of half of the fac­tors that are alike.

e.g. What is the square root of 144? 144 = 2x2x2x2x3x3 = x

The square root of 144 = 2x2x3 = 12. Now, cal­cu­late the square root of the fol­low­ing num­bers by do­ing re­peated di­vi­sion.

1. 100

2. 225

3. 196 Next week, we will dis­cuss an­swers.

4. 256

5. 324

square writ­ten

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