Congratulations to Jason, Julia, Alex, Susan, and Gioia on the Kahoot! Game today:)
Lesson review:
- Let m be a nonnegative integer. Every nonnegative integer is congruent modulo 2^m, modulo 5^m, and modulo 10^m to its last m digits.
- Every nonnegative integer is congruent modulo 3, modulo 9 to the sum of its digits.
- Every nonnegative integer is congruent modulo 11 to the alternative sum of its digits.
- 2n⇋units digit is even
- 5n⇋units digit is 5 or 0
- 10n⇋units digit is 0
- k*2^m ⇋ its last m digits themselves form an integer that is a multiple of 2^m
- k*5^m ⇋ its last m digits themselves form an integer that is a multiple of 5^m
- k*10^m ⇋ its last m digits are all 0.
- 3n⇋ the sum of its digit is 3k
- 9n⇋ the sum of its digit is 9k
- 11n⇋ the alternating sum of its digit is 11k
Extra Resource:
- Divisibility rules for 2-12
- Divisibility rule for 11
- Divisibility rule for 9
Homework:
- Pg. 252 Ex.13.2.1 (a,c), 13.2.2(c,f), 13.2.3(a,f), 13.2.4
- Pg. 255 Ex.13.3.2, 13.3.4, 13.3.6
- Pg. 257 Ex. 13.15 to 13.19, 13.25
No School next week. Enjoy the Memorial Day Holiday, and see you all on May 31st!
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