Sec. 5.1 divisibility rules
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Students will learn divisibility rules to determine whether numbers are divisible by other numbers without using division. The rules specify that a number is divisible by 2 if it is even, by 3 if the sum of its digits is divisible by 3, and by 5 if it ends in 0 or 5. Students will use the rules to test if 8745 is divisible by 2, 3, 5, 6, 9, and 10 and compare their answers.
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Sec. 5.1 divisibility rules
- 1. Learning Target: Students will learn how to apply divisibility rules to whole numbers to determine their divisibility status and give justification for each.
- 2. DivisibilityQ: When is a number (25) divisible by another number (5)?A: It is divisible when the second number (5) evenly divides the first number (25). (no remainders)
- 3. Divisibility Rules:2: # is even (ends in 0,2,4,6,8)3: if the sum of the digits is divisible by 3 5: if it ends in a 0 or 56: if it is even and divisible by 39: if the sum of the digits is divisible by 910: if it ends in a 0
- 4. Use the divisibility rules to test if 8745 is divisible by 2,3,5,6,9, and 10.
- 5. Test the number for divisibility by 2,3,5,6,9, and 10.1. 1578Compare your answer with the person next to you.
- 6. Answer:2: yes b/c it is even3: yes b/c 1+5+7+8=21, 21/3=75: no b/c it doesn’t end in a 0 or 56: yes b/c it is divisible by 2 and 39: no b/c 21/9= 2R310: no b/c it does not end in a 0(2,3,6)