reviewer for mathematics part 1
TRANSCRIPT
NATIONAL ACHIEVEMENT TEST
REVIEW 2015
(MATHEMATICS)
Prepared by:
Ms. Ma. Irene G. Gonzales
Complex Numbers
Real Numbers (R)
Rational Number (Q)
Integers (Z)
Whole Numbers (W)
Negative Numbers
Non –Integers (Z’)
Irrational Numbers (Q’)
Imaginary Numbers (I)
Hierarchy of Numbers
(Gonzales, 2015)
Operations on Integers
Addition
1. (-9) + 3 = ____
2. 30 + (-25) = _____
(Gonzales, 2015)
Operations on Integers
Subtraction
1. (-9) – 3 = ____
2. 30 – (-25) = _____
(Gonzales, 2015)
Operations on Integers
Multiplication
1. (-10) • 3 = ____
2. -30 • (-4) = _____
(Gonzales, 2015)
Operations on Integers
Division
1. (-24) / 3 = ____
2. -30 / (-5) = _____
(Gonzales, 2015)
Order of Operations
♦ Grouping (innermost)
♦ Exponent
♦ Multiplication
♦ Division
♦ Addition
♦ Subtraction
(Gonzales, 2015)
Order of Operations
♪ Example
7 + (6 • 52 + 3)
(Gonzales, 2015)
Order of Operations
♪ Example
[32 + (24 / 4 + 32)] + 32
(Gonzales, 2015)
Order of Operations
♪ Example
(15 / 5)2 + [(12 – 5) • 32)]
(Gonzales, 2015)
DIVISIBILITY RULES
(Gonzales, 2015)
DIVISIBILITY RULES
(Gonzales, 2015)
DIVISIBILITY RULES
(Gonzales, 2015)
DIVISIBILITY RULES
(Gonzales, 2015)
EXERCISE
(Gonzales, 2015)
OPERATIONS ON FRACTIONS
☼ Addition and Subtraction
(Gonzales, 2015)
OPERATIONS ON FRACTIONS
☼ Multiplication
(Gonzales, 2015)
OPERATIONS ON FRACTIONS
☼ Division
(Gonzales, 2015)
OPERATIONS ON DECIMALS
Addition and Subtraction
3.143 + 4.8967
15.872 – 4.569
(Gonzales, 2015)
OPERATIONS ON DECIMALS
Multiplication
11.765 x 4.32
(Gonzales, 2015)
OPERATIONS ON DECIMALS
Division
4.89 / 2
4.25 / 2.5
4.17 / 1.2
(Gonzales, 2015)
RATIO AND PROPORTION
Ratio can be written in 3 different ways:
• Fraction Form
• Colon Form
• Word Form
(Gonzales, 2015)
RATIO AND PROPORTION
(Gonzales, 2015)
RATION AND PROPORTION
♪ Example
A child can run 5 blocks in 2
minutes. How long does it take
the child to run 8 blocks, at the
same speed?
(Gonzales, 2015)
RATION AND PROPORTION
♪ Example
If a student can answer 15
questions in 2 minutes, how long
will it take for him to answer 90
questions?
(Gonzales, 2015)
LAWS OF EXPONENTS
(Gonzales, 2015)
LAWS OF EXPONENTS
(Gonzales, 2015)
INTEGRAL EXPONENT VS. RATIONAL EXPONENT
(Gonzales, 2015)
INTEGRAL EXPONENT VS. RATIONAL EXPONENT
6431
(Gonzales, 2015)
RATIONAL EXPONENT
Write the following expressions with rational exponents as radical expressions:
1. 3.
2. 4.
921
2731
x2 21
)( y3 51
(Gonzales, 2015)
SIMPLIFYING RADICAL EXPRESSIONS
Simplify the following:
1. 2. yx 75 3 45
8 nm
(Gonzales, 2015)
RATIONALIZING RADICALS
(Gonzales, 2015)
SCIENTIFIC NOTATIONSTANDARD FORM TO SCIENTIFIC NOTATION
(Gonzales, 2015)
SCIENTIFIC NOTATIONSTANDARD FORM TO SCIENTIFIC NOTATION
(Gonzales, 2015)
SCIENTIFIC NOTATIONSCIENTIFIC NOTATION TO STANDARD FORM
(Gonzales, 2015)
MEASUREMENTS
(Gonzales, 2015)
METRIC CONVERSION
King Henry Doesn’t [Usually] Drink Chocolate Milk
kilo- hecto- deka- [unit] deci- centi- milli-
(Gonzales, 2015)
UNIT CONVERSION
(Gonzales, 2015)
UNIT CONVERSION
(Gonzales, 2015)