Page 2: Number Line and Integer Properties

This page explores the properties of integers and their representation on a number line.

Vocabulary: Absolute value refers to a number without its sign.

Definition: Natural numbers are positive integers starting from 1, while integers include positive, negative numbers, and zero.

Highlight: The number line shows negative numbers to the left of zero and positive numbers to the right.

Example: When comparing integers:

• Positive numbers are greater than negative numbers
• Among positive numbers, the larger value is greater
• Among negative numbers, the value closer to zero is greater

Page 1: Divisibility Rules and Prime Factorization

This page introduces fundamental mathematical concepts related to divisibility and prime factorization.

Definition: Divisibility rules are criteria that help determine if a number is divisible by another without performing division.

Example: A number is divisible by:

• 2 if it ends in 0 or an even digit
• 3 if the sum of its digits equals 3, 6, or 9
• 4 if its last two digits are in the 4 times table or are 00
• 5 if it ends in 0 or 5
• 6 if it's divisible by both 2 and 3
• 9 if the sum of its digits equals 9
• 10 if it ends in 0

Highlight: Prime factorization is expressing a number as a product of prime numbers.

Definition: Least Common Multiple (LCM) uses the highest power of each prime factor, while Greatest Common Divisor (GCD) uses the lowest power of common prime factors.