This reviewer includes the following topics: - Hierarchy of Numbers - Operations on Integers - Order of Operations - Divisibility Rules - Operations on Fractions - Operations on Decimals - Ratio and Proportion - Laws of Exponents - Integral and Rational Exponents - Simplifying Radical Expressions - Rationalizing Radicals - Scientific Notation - Measurements - Metric and Unit Conversion

1. NATIONAL ACHIEVEMENT TEST
REVIEW 2015
(MATHEMATICS)
Prepared by:
Ms. Ma. Irene G. Gonzales

2. 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)

3. Operations on Integers
Addition
1. (-9) + 3 = ____
2. 30 + (-25) = _____
(Gonzales, 2015)

4. Operations on Integers
Subtraction
1. (-9) – 3 = ____
2. 30 – (-25) = _____
(Gonzales, 2015)

5. Operations on Integers
Multiplication
1. (-10) • 3 = ____
2. -30 • (-4) = _____
(Gonzales, 2015)

6. Operations on Integers
Division
1. (-24) / 3 = ____
2. -30 / (-5) = _____
(Gonzales, 2015)

7. Order of Operations
♦ Grouping (innermost)
♦ Exponent
♦ Multiplication
♦ Division
♦ Addition
♦ Subtraction
(Gonzales, 2015)

8. Order of Operations
♪ Example
7 + (6 • 52 + 3)
(Gonzales, 2015)

9. Order of Operations
♪ Example
[32 + (24 / 4 + 32)] + 32
(Gonzales, 2015)

10. Order of Operations
♪ Example
(15 / 5)2 + [(12 – 5) • 32)]
(Gonzales, 2015)

11. DIVISIBILITY RULES
(Gonzales, 2015)

12. DIVISIBILITY RULES
(Gonzales, 2015)

13. DIVISIBILITY RULES
(Gonzales, 2015)

14. DIVISIBILITY RULES
(Gonzales, 2015)

15. EXERCISE
(Gonzales, 2015)

16. OPERATIONS ON FRACTIONS
☼ Addition and Subtraction
(Gonzales, 2015)

17. OPERATIONS ON FRACTIONS
☼ Multiplication
(Gonzales, 2015)

18. OPERATIONS ON FRACTIONS
☼ Division
(Gonzales, 2015)

19. OPERATIONS ON DECIMALS
 Addition and Subtraction
3.143 + 4.8967
15.872 – 4.569
(Gonzales, 2015)

20. OPERATIONS ON DECIMALS
 Multiplication
11.765 x 4.32
(Gonzales, 2015)

21. OPERATIONS ON DECIMALS
 Division
4.89 / 2
4.25 / 2.5
4.17 / 1.2
(Gonzales, 2015)

22. RATIO AND PROPORTION
Ratio can be written in 3 different ways:
• Fraction Form
• Colon Form
• Word Form
(Gonzales, 2015)

23. RATIO AND PROPORTION
(Gonzales, 2015)

24. 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)

25. 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)

26. LAWS OF EXPONENTS
(Gonzales, 2015)

27. LAWS OF EXPONENTS
(Gonzales, 2015)

28. INTEGRAL EXPONENT VS. RATIONAL EXPONENT
(Gonzales, 2015)

29. INTEGRAL EXPONENT VS. RATIONAL EXPONENT
643
1
(Gonzales, 2015)

30. RATIONAL EXPONENT
Write the following expressions with rational
exponents as radical expressions:
1. 3.
2. 4.
92
1
273
1
x2 2
1
)( y3 5
1
(Gonzales, 2015)

31. SIMPLIFYING RADICAL EXPRESSIONS
Simplify the following:
1. 2.
yx 75 3 45
8 nm
(Gonzales, 2015)

32. RATIONALIZING RADICALS
(Gonzales, 2015)

33. SCIENTIFIC NOTATION
STANDARD FORM TO SCIENTIFIC NOTATION
(Gonzales, 2015)

34. SCIENTIFIC NOTATION
STANDARD FORM TO SCIENTIFIC NOTATION
(Gonzales, 2015)

35. SCIENTIFIC NOTATION
SCIENTIFIC NOTATION TO STANDARD FORM
(Gonzales, 2015)

36. MEASUREMENTS
(Gonzales, 2015)

37. METRIC CONVERSION
King Henry Doesn’t [Usually] Drink Chocolate Milk
kilo- hecto- deka- [unit] deci- centi- milli-
(Gonzales, 2015)

38. UNIT CONVERSION
(Gonzales, 2015)

39. UNIT CONVERSION
(Gonzales, 2015)