General Mathematics Week 1 PDF

Summary

This document provides an overview of basic mathematics concepts, including prime and composite numbers, left-to-right and GEMDAS methods for calculation. It briefly discusses various math properties.

Full Transcript

WEEK 1: **GENERAL MATHEMATICS** - [LEFT TO RIGHT METHOD] (Multiplication/Division) Ex: **70 ÷ 7 x 5 + 64 ÷ 4 x 2** *70 ÷ 7 × 5 + 64 ÷ 4 × 2* *50 + 32* ***82*** - [GEMDAS METHOD] G- Grouping Symbols (P, BK, BC) E- Exponents M/D-Multiplication/Division A/...

WEEK 1: **GENERAL MATHEMATICS** - [LEFT TO RIGHT METHOD] (Multiplication/Division) Ex: **70 ÷ 7 x 5 + 64 ÷ 4 x 2** *70 ÷ 7 × 5 + 64 ÷ 4 × 2* *50 + 32* ***82*** - [GEMDAS METHOD] G- Grouping Symbols (P, BK, BC) E- Exponents M/D-Multiplication/Division A/S-Addition/Subtraction [FOR A/S: ] *"Same signs add and keep,* *Different signs subtract,* *Take the sign of the bigger number,* *Then you'll be exact"* *[FOR M/D:]* *Positive to negative (vice versa) = (-)* *Positive to positive/negative to negative = (+)* - [PRIME NUMBERS] Ex: **2, 3, 5, 7, 11....** *= 2x1, 3x1, 5x1, 7x1, 11x1* - [COMPOSITE NUMBERS] Ex: **4, 6, 8, 9, 10, 12** *4= 4x1, 2x2* *6= 6x1, 2x3* *8=8x1, 4x2* *9= 9x1, 3x3* *10= 10x1, 5x2* *12= 12x1, 6x2, 4x3* - [PRODUCT AND INTEGER] Ex: **13 (find the last 2 digits based on choices)** *= 13x2, 13x3, 13x4, 13x5.....* +-----------------------------------------------------------------------+ | **TAKE NOTE!** | | | | ***2** is the only **even number** that is **prime*** | | | | ***1** is a **special number** (neither prime/composite)* | | | | ***97** **largest prime** number l**ess than 100*** | | | | ***199 largest prime** number **less than 200*** | | | | ***109/107 largest prime** number less than 110* | | | | ***25 prime** numbers from **1-100*** | | | | ***168 prime** numbers from **1-1000*** | +-----------------------------------------------------------------------+ - [PROPERTIES ] **Distributive** **Reflexive** **Transitive** ------------------- --------------------- --------------- ---------------------------------- *x+(y+z)=(x+y)+z* *𝒙 𝒚 + 𝒛 = 𝒙𝒚 + 𝒙z* *𝒙 = x* *If 𝒙 = 𝒚 and 𝒚 = 𝒛, then 𝒙 = z* - FRACTIONS \#9

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