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
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Operations on Integers
Addition
1. (-9) + 3 = ____
2. 30 + (-25) = _____
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Operations on Integers
Subtraction
1. (-9) – 3 = ____
2. 30 – (-25) = _____
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Operations on Integers
Multiplication
1. (-10) • 3 = ____
2. -30 • (-4) = _____
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Operations on Integers
Division
1. (-24) / 3 = ____
2. -30 / (-5) = _____
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Order of Operations
♦ Grouping (innermost)
♦ Exponent
♦ Multiplication
♦ Division
♦ Addition
♦ Subtraction
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Order of Operations
♪ Example
7 + (6 • 52 + 3)
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Order of Operations
♪ Example
[32 + (24 / 4 + 32)] + 32
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Order of Operations
♪ Example
(15 / 5)2 + [(12 – 5) • 32)]
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DIVISIBILITY RULES
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DIVISIBILITY RULES
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DIVISIBILITY RULES
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DIVISIBILITY RULES
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EXERCISE
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OPERATIONS ON FRACTIONS
☼ Addition and Subtraction
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OPERATIONS ON FRACTIONS
☼ Multiplication
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OPERATIONS ON FRACTIONS
☼ Division
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OPERATIONS ON DECIMALS
Addition and Subtraction
3.143 + 4.8967
15.872 – 4.569
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OPERATIONS ON DECIMALS
Multiplication
11.765 x 4.32
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OPERATIONS ON DECIMALS
Division
4.89 / 2
4.25 / 2.5
4.17 / 1.2
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RATIO AND PROPORTION
Ratio can be written in 3 different ways:
• Fraction Form
• Colon Form
• Word Form
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RATIO AND PROPORTION
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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?
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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?
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LAWS OF EXPONENTS
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LAWS OF EXPONENTS
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INTEGRAL EXPONENT VS. RATIONAL EXPONENT
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INTEGRAL EXPONENT VS. RATIONAL EXPONENT
6431
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RATIONAL EXPONENT
Write the following expressions with rational exponents as radical expressions:
1. 3.
2. 4.
921
2731
x2 21
)( y3 51
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SIMPLIFYING RADICAL EXPRESSIONS
Simplify the following:
1. 2. yx 75 3 45
8 nm
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RATIONALIZING RADICALS
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SCIENTIFIC NOTATIONSTANDARD FORM TO SCIENTIFIC NOTATION
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SCIENTIFIC NOTATIONSTANDARD FORM TO SCIENTIFIC NOTATION
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SCIENTIFIC NOTATIONSCIENTIFIC NOTATION TO STANDARD FORM
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MEASUREMENTS
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METRIC CONVERSION
King Henry Doesn’t [Usually] Drink Chocolate Milk
kilo- hecto- deka- [unit] deci- centi- milli-
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UNIT CONVERSION
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UNIT CONVERSION
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