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15.3.2021
Chapter 3
Squares, square roots,
cubes and cube roots
01
02
03
3.1 Squares and Square Roots
01
02
03
Perfect Squares
01
02
03
Determine whether each of the following is a perfect square
or not by completing the prime factoristion method.
Example 1:
01
02
03
) 121 (b) 196
121 196
7
7
Determine whether each of the following is a perfect square
or not by completing the prime factoristion method.
Example 1:
01
02
03
0 (d) 225
90
3
3
225
5
5
5
Circle the perfect squares in the table below.
Example 2
2 25 70 50 36 144 252
4 8 100 169 45 30 225
20 64 33 172 121 48 289
16 256 63 49 6 1 196
Example 3
List the following perfect squares.
(a) Between 99 and 199 (b) Between 40 and 90
(c) Between 130 and 180 (d) Between 200 and 400
Example 4
Calculate the value of each of the following without using a
calculator
(a) 242 (b) (−6)2
(c)
2
9
2
(d) −
3
11
2
Example 5:
Solve each of the following.
(a) Given 7 × 7 = 49, find 49. (b) Given 212
= 441, find 441.
(c) Given 182
= 324, find 324. (d) Given 121 = 11, find 112
.
Example 6:
Evaluate each of the following using a calculator.
(a) −6.1 2
(b) −3.92
(c) 2.52
(d) −
9
23
2
(e) 2
4
5
2
(f) 23.4 2
Example 7:
Complete each of the following without using a calculator.
(a) 25
= ×
=
(b) 169
= ×
=
(c) 0.16
= ×
=
(d)
4
49
= ×
=
Example 6:
Complete each of the following without using a calculator.
(e)
18
32
=
=
=
(f)
9
25
= ×
=

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1KRK CHAPTER 3.1.1 Squares and square roots.pptx

  • 1. 15.3.2021 Chapter 3 Squares, square roots, cubes and cube roots 01 02 03
  • 2. 3.1 Squares and Square Roots 01 02 03
  • 4.
  • 5. Determine whether each of the following is a perfect square or not by completing the prime factoristion method. Example 1: 01 02 03 ) 121 (b) 196 121 196 7 7
  • 6. Determine whether each of the following is a perfect square or not by completing the prime factoristion method. Example 1: 01 02 03 0 (d) 225 90 3 3 225 5 5 5
  • 7. Circle the perfect squares in the table below. Example 2 2 25 70 50 36 144 252 4 8 100 169 45 30 225 20 64 33 172 121 48 289 16 256 63 49 6 1 196
  • 8. Example 3 List the following perfect squares. (a) Between 99 and 199 (b) Between 40 and 90 (c) Between 130 and 180 (d) Between 200 and 400
  • 9. Example 4 Calculate the value of each of the following without using a calculator (a) 242 (b) (−6)2 (c) 2 9 2 (d) − 3 11 2
  • 10. Example 5: Solve each of the following. (a) Given 7 × 7 = 49, find 49. (b) Given 212 = 441, find 441. (c) Given 182 = 324, find 324. (d) Given 121 = 11, find 112 .
  • 11. Example 6: Evaluate each of the following using a calculator. (a) −6.1 2 (b) −3.92 (c) 2.52 (d) − 9 23 2 (e) 2 4 5 2 (f) 23.4 2
  • 12. Example 7: Complete each of the following without using a calculator. (a) 25 = × = (b) 169 = × = (c) 0.16 = × = (d) 4 49 = × =
  • 13. Example 6: Complete each of the following without using a calculator. (e) 18 32 = = = (f) 9 25 = × =