# Math 25 - Arithmetic

Description: |
This course introduces the fundamentals of arithmetic with an emphasis on computational skills. Topics include whole numbers, exponents, order of operations, factors, fractions, decimals, problem solving, and applications. |

**Learning Outcomes and Objectives Upon completion of this course, the student will be able to:**

- evaluate problems using addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals.
- use the order of operations to simplify expressions.
- read, write, and round whole numbers and decimals.
- identify and use factors and prime factorization of whole numbers.
- identify types of fractions.
- simplify fractions.
- demonstrate the relationships between fractions and decimals.
- set up and solve application problems using computational arithmetic.

**Course Topics The topics for this course are typically allocated as follows:**

Lec |
Topic |

2 | Whole Numbers: Reading, Writing, and Round Whole Numbers; Place Value |

3 | Addition of Whole Numbers: Basic Facts; Techniques of Addition in Vertical (column) and Horizontal formats; Estimating Sums and Reasonableness of answers; Applications |

5 | Subtraction of Whole Numbers: Basic Facts; Techniques of Subtraction in Vertical (column) and Horizontal Format; Applications |

6 | Multiplication of Whole Numbers: Basic Facts; Techniques of Multiplication in Vertical (column) and Horizontal Formats; Techniques for Multiplying by Powers and Multiples of Powers of 10; Applications |

6 | Division of Whole Numbers: Basic Facts; Techniques for Dividing using various Algorithms; Division by Powers and Multiples of 10; Applications |

6 | Prime Numbers: Identification of Prime Numbers; Divisibility Rules (by 2, 3, or 5); Prime Factorization; Greatest Common Factor (GCF); Least Common Multiple (LCM) |

2 | Fractions: Representations of Fractions; Fractional Notation; Equivalence and Reducing to Lowest Terms of Fractions; Improper Fractions/Mixed Numbers and Related Conversions |

4 | Multiplication and Division of Fractions: Techniques involving Simple/Improper Fractions; Techniques involving Mixed Fractions (or Numbers); Applications |

5 | Addition and Subtraction of Simple Fractions: Techniques involving Common Denominators and non-Common Denominators |

4 | Addition and Subtraction of Fractions and Other Numbers: Techniques involving Mixed and non-Mixed Fractions; Applications |

6 | Decimals: Definition of Decimal Fractions; Conversions between Decimals and Fractions; Addition and Subtraction of Decimals; Multiplication and Division of Decimals; Applications |

3 | Exponents and Order of Operations |

2 | Final exam |