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Sequences • Digits Lesson 1 Saxon Math 6/5 By the end of this lesson, you will know how to… Sequences Describe the rule for a sequence Count up or down to identify missing terms in a counting sequence Digits Find the number of digits in a given number Name the last digit of a given number Facts Practice 100 Addition Facts Mental Math 3 +3 30 + 30 300 + 300 40 + 50 200 + 600 50 + 50 20 + 20 + 20 500 + 500 + 500 Problem Solving The counting numbers are 1, 2, 3, 4, and so on. How many one-digit counting numbers are there? Nine- 1, 2, 3, 4, 5, 6, 7, 8, 9 Sequences Counting by ones, we say…. 1, 2, 3, 4, 5, 6, … These are counting numbers Can also count by twos, fives, etc An ordered list of numbers is a sequence Each member of the sequence is a term Sequences 1, 2, 3, 4, 5, 6, … 3 dots mean the sequence continues Study a sequence to discover a pattern or rule The rule is used to find more terms for the sequence Example: Sequences: Example 1 What are the next three terms in this counting sequence? 3, 6, 9, 12, 15, 18, 21, … Solution: The pattern is count up by threes. So the terms are… Sequences: Example 2 Describe the rule for this sequence. What is the next term in the sequence? 56, 49, 42, 35, … Solution: This sequence counts down by sevens. So the term is… Digits Our number system has ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 385 Has three (3) digits Last digit is 5 148,567,896,094 Has twelve (12) digits Last digit is 4 Digits: Examples The number 186,000 has how many digits? Solution: Six digits What is the last digit of 26,348? Solution: The last digit is 8