More on Arithme-tricks😉

Hello GREATMINDS💡

So today on MATHSPEDIA A+🧠we shall discuss and focus on 5 more Arithme-tricks😉 on squaring of some numbers

After the lesson if there is a part you don't understand feel free to comment

Fig 1.

So let's begin

1. Square numbers ending in 5

           .1.

352 = 1225

Step 1- Multiply the first digit by the first digit plus one

3 ×(3+1)=12

Step 2- Write the number 25 next to the result from Step 1

12_25

Fig 2.

2. Square numbers between 10 and 19

      .1.

 14^2 =196

Step 1- Add the number to the ones digit

14+4=18

Step 2- Multiply the number from Step 1 by 10

18 × 10 =180

Step 3- Square the ones digit number 

4^2 = 16

Step 4- Add Step 2 and 3

180+16=196

Fig 3. 

3. Square numbers between 40 and 49

-1-

48^2=2304

Step 1- Subtract the number from 50

50-48=2

Step 2- Subtract the result(from Step 1) from 25

25-2=23

Step 3- Square the result from Step 1 (if the result is a single digit put a zero in front of it)

2^2=04

Step 4- Place the result from Step 3 next to the result from Step 2

23_04= 2304

Fig 4. 

4. Square numbers between 50 and 59

-1- 

53^2 = 2809

Step 1- Add 25 to the ones digit

25+3 = 28

Step 2- Square the ones digit number (if the result is a single digit put a zero in front of it)

3^2= 09

Step 3- Place the result from Step 2 next to the result from Step 1

28_09 = 2809

Fig 5.

5. Square numbers between 90 and 99

-1-

97^2 = 9409

Step 1- Subtract the number from 100

100-97 = 3

Step 2- Subtract the number (from Step 1) from original number 

97-3 = 94

Step 3- Square the result from Step 1(if the result is a single digit put a zero in front of it)

3^2 = 09

Step 4- Place the result from Step 3 next to the result form Step 2

94_09 = 9409

Fig 6.

That's all for the day GREATMINDS💡

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Why do we always keep our focus on 5 sub topics per lesson

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