Identify which of the following numbers are even and which are odd. Explain your reasoning. 30, 46, 78, 67, 300, 154, 415, 99
Odd numbers: 67, 99, 415
Even numbers: 30, 46, 78, 300, 154
Reasoning: A number is even if its last digit (ones place) is 0, 2, 4, 6, or 8. A number is odd if its last digit is 1, 3, 5, 7, or 9.
Checking odd numbers: 67 ends in 7 (odd) 99 ends in 9 (odd) 415 ends in 5 (odd)
Checking even numbers: 30 ends in 0 (even) 46 ends in 6 (even) 78 ends in 8 (even) 300 ends in 0 (even) 154 ends in 4 (even)
Explanation
The chapter teaches students to identify even and odd numbers by looking at the last digit (ones place). Numbers ending in 0, 2, 4, 6, 8 are even because they can be divided into two equal groups. Numbers ending in 1, 3, 5, 7, 9 are odd because one remains when divided into two groups.
Solution Steps
Identify odd numbers: 67, 99, 415
Identify even numbers: 30, 46, 78, 300, 154
A number is even if its last digit (ones place) is 0, 2, 4, 6, or 8.
A number is odd if its last digit is 1, 3, 5, 7, or 9.
67 ends in 7 (odd)
99 ends in 9 (odd)
415 ends in 5 (odd)
30 ends in 0 (even)
46 ends in 6 (even)
78 ends in 8 (even)
300 ends in 0 (even)
154 ends in 4 (even)