Number Properties Puzzle – Challenge 21
Math challenges are perfect learning activities to help kids learn and have fun too. Let's see who can solve this one!
Challenge:
If \(y = 7 × 10^{83}+3\), what is the remainder when y is divided by 9?
A- 0
B- 1
C- 2
D- 3
E- 4
The Absolute Best Book to challenge your Smart Student!
The correct answer is B.
Divisibility rules for a divisor of 9:
A number is divisible by 9 if the sum of the digits is divisible by 9. For example 126 is divisible by 9, since, 1 + 2 + 6 = 9 is divisible by 9.
\(7 × 10^{83}+3 = 7, 000,…, 000 + 3 = 7,000 ,…,003\)
The sum of the digits is 10.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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