Mathematics Form 1-Chapter 3 Squares, Square Roots, Cubes and Cube Roots KBSM of form 2 chp 2

1. Notes Derrick Mathematics Pg .
Chapter 3 Squares, square roots, cubes and cube roots.
3.1 Squares of number
Note
1. Square = a number is the product of the number by itself.
Eg: 22 = 2×2 = 4, 32 = 3×3 = 9, 42 = 4×4 = 16
2. The square of any answer is always positive because:
Eg: positive with positive  52 = (+5)×(+5) = (+25)
negative with negative  -62 = (-6)×(-6) = (+36)
3. The fraction in the square Eg: (
3
4
)2 =
3×3
4×4
=
9
16
4. The decimal place in the square Eg: 0.0 72 = 0.0 0 4 9
5. Perfect square = the answer of square number
Eg: 12, 22, 32, 42, 52 = 1, 4, 9, 16, 25
6. Prime factorization = determine the number is a perfect
square.
676 = 2×2×13×13
= (2×13) × (2×13)
= 26×26
= 262
Exercise 3.1
1. Write the following square notation.
a) 4×4= d) (
4
9
)×(
4
9
)=
b) 17×17= e) -3.8×(-3.8)=
c) -6×(-6)= f) 5.2×5.2=
2. Calculate the following.
a) –72= b) 92= c) -122=
d) (
2
5
)2= e) (-
4
11
) 2= f) (2
1
6
) 2=
g) 0.032= h) -152= i) 2.42=
3. List the perfect square in each of the following.
a) Between 100 and 200
b) Less than 70
c) Between 200 and 300
d) Between 300 and 450
e) First 5
4. Determine whether each of the following number is a perfect
square.
a) 150= b) 289= c) 330=
d) 484= e) 735= f) 1225=
g) 225= h) 555 i) 256=