Numerical Ability
"Beshy, huminga ng malalim. Math lang 'to! Hindi tayo papa-api sa numbers. Ready ka na ba maging Math Wizard? Tara, himayin natin!"
1. Basic Operations & PEMDAS (Order of Operations) 🧮
Beshy, bago tayo lumipad, matuto muna tayo lumakad. Ang math parang relationships, may sinusunod na order of priority. Wag kang basta-basta!
PEMDAS Rule:
- Parenthesis (Unahin ang nasa loob ng brackets)
- Exponents (Powers and roots)
- Multiplication & Division (Left to Right!)
- Addition & Subtraction (Left to Right!)
Example: 8 + 4 x 2 - 6 / 3
- Multiply: 4 x 2 = 8. (Equation: 8 + 8 - 6 / 3)
- Divide: 6 / 3 = 2. (Equation: 8 + 8 - 2)
- Add: 8 + 8 = 16. (Equation: 16 - 2)
- Subtract: 16 - 2 = 14.
Answer: 14
2. Fractions, Decimals & Percentages: The Triplets 💰
Magkakapatid lang 'tong tatlo. Pwede mo silang pagpalit-palitin. Isipin mo na lang pera para madali!
Converting:
- Decimal to Percent: Move decimal 2 places to the RIGHT.
0.75 -> 75% - Percent to Decimal: Move decimal 2 places to the LEFT.
50% -> 0.50 - Fraction to Decimal: Divide mo lang beshy.
1/4 means 1 divided by 4 = 0.25
Solving Percentage Problems:
Formula: (Part / Whole) x 100 = %
Problem: Si Marites bumili ng bag. Original price ₱1,500. Naka-sale ng 20%. Magkano ang discount?
Solution:
1. Convert 20% to decimal -> 0.20
2. Multiply: 1,500 x 0.20 = 300
Answer: ₱300 ang discount. Ang babayaran na lang ay ₱1,200.
3. Ratio & Proportion: The "Recipe" Method 🥣
Pag sinabing Ratio, comparison lang 'yan ng dalawang bagay. "Sa bawat 2 lalaki, may 3 babae" -> 2:3.
Direct Proportion
Pag tumaas ang isa, tataas din ang isa. (More work, more sweldo!)
Technique: Outer x Outer = Inner x Inner (Product of Extremes = Product of Means)
Problem: Kung ang 3 kilos ng mangga ay ₱240, magkano ang 5 kilos?
Setup: 3 : 240 = 5 : X
Solution:
- Inner: 240 x 5 = 1,200
- Outer: 3 x X = 3X
- Equate: 3X = 1,200
- Divide by 3: X = 400
Answer: ₱400 beshy!
4. Motion Problems: Distance, Speed, Time 🚗
Wag kang mawawala sa byahe! Tandaan ang DST Triangle.
- Distance = Speed x Time
- Speed = Distance / Time
- Time = Distance / Speed
5. Number Series: The "Hulaan" Portion 🔢
Akala mo hulaan lang? May logic 'yan! Hanapin ang pattern sa differences.
Arithmetic (Common Difference)
Ex: 5, 10, 15, 20, ___ (Sagot: 25)
Geometric (Common Ratio)
Ex: 3, 6, 12, 24, ___ (Sagot: 48)
Test Your Knowledge! 🧠
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