F2 t2 squares, square roots, cubes & cube roots
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Transcript of F2 t2 squares, square roots, cubes & cube roots
WAJA Mathematics PMR
SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS
Skill A: Squares of Numbers
1. Write in expanded form,
(a) 42 = X (b) (1 )2 = X
2. Write the index form of
(a) 0.36 X 0.36 = (b) (- 2.5) X (- 2.5) =
3. Find the value of the following without using a scientific calculator.
(a) 52 = X =
(b) ( - 3)2 = X =
(c) 0.62 = X =
(d) [ ]2 = X =
4. Estimate the value of the following.
(a) 7.82 ≈ = =
(b) 30.12 ≈ = =
(c) 1.042 ≈ = = (d) 0.0992 ≈ = =
5. Use a scientific calculator to evaluate the following, correct to 3 decimal places where necessary.
(a) 63.212 =
(b) 124.562 =
(c) - 1.01352 =
(d) ( 2 )2 =
6. Complete the table below to get the first ten perfect squares.
12 22 32 42 52 62 72 82 92 102
Skill B: Square Roots of Positive Numbers
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When a number is squared, the number is multiplied by itself.
The square root of a positive number is the number when multiplying by itself equals to the given number.
82 8 X 8
WAJA Mathematics PMR
1(a) Since 122 = 144. Thus =
(b) Since 1.52 = 2.25. Thus =
(c) Since ( )2 = . Thus =
2. Evaluate each of the following without using a calculator. (a) = (b) =
(c) = (d) =
3. Find the product of each of the following.
(a) X = = (b) X =
(c) X =
(d) X =
(e) X = =
(f) X = = 4. Evaluate the following using a scientific calculator, correct to 3 decimal places. (a) =
(b) =
(c) =
(d) =
(e) =
5. Complete the table below.
Skill C: Cubes of Numbers
1.Complete the following. (a) 53 = X X
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The cube of a number is the product of the number multiplied by itself three times.
√
WAJA Mathematics PMR
(b) 1.33 = X X
(c) ( 2 ) X ( 2 ) X ( 2 ) =
2. Find the value of the following without using a calculator.
(a) 43 = X X =
(b) 103 = X X =
(c) ( - 1)3 = X X =
(d) ( )3 = X X =
3. Estimate the value of the following.
(a) 2.33 ≈ =
(b) 4.853 ≈ =
(c) 1.233 ≈ =
(d) (- 0.98)3 ≈ =
4. Evaluate the following using a scientific calculator, correct to 3 decimal places.
(a) 12.33 =
(b) ( - 14.51)3 =
(c) 2.003493 =
(d) ( 3 )3 =
5. Complete the table below to get the first ten perfect cubes.
13 23 33 43 53 63 73 83 93 103
Skill D: Cube Roots of Numbers 1(a) Since 43 = 64. Thus =
(b) Since 0.53 = 0.125. Thus =
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The cube root of a number is the number when multiplied by itself twice, equals to the given number.
23
WAJA Mathematics PMR
(c) Since ( )3 = . Thus =
2. Evaluate each of the following without using a calculator. (a) =
(b) =
(c) =
(d) =
(e) =
3. Evaluate the following using a scientific calculator, correct to 4 decimal places. (a) =
(b) =
(c) =
(d) =
(e) =
4. Solve the following problems.
(a) + = + =
(b) - = - = (c) - + = - + = 5.Complete the table below.
Mastery Practice
1. Write in expanded form, (a) 5.62 =
(b) 0.423 = 2. Write the index form of (a) (- 1.34) X (- 1.34) =
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WAJA Mathematics PMR
(b) ( ) X ( ) X ( ) =
3. Find the square root for each of the following.
(a) X =
(b) X = 4. Evaluate each of the following without using a calculator. (a) 2 – 0.22 =
(b) - 27 + ( - 3)3 =
(c) 64 + 32 =
(d) – 52 =
(e) 13 + - 22 =
(f) = (g) - ( - 4)2 =
(h) + =
5. Evaluate the following using a scientific calculator, correct to 3 decimal places.
(a) 10.12 – 2.33 = (b) + = (c) 2.452 - + = (d) + - (- 0.23) 2 = (e) ÷ =
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