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Picking Numbers works well on many Number Properties
questions, but sometimes it's necessary to know Number Property rules
in order to solve a problem. At other times, familiarity with the rules
will help get you to the correct answer more efficiently. For the following
Roman Numeral question, we will focus on the Number Property rules that
are being tested. Review the question and then proceed to the task below.
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This question stem suggests that
two Number Properties concepts will be central to solving this problem.
What are they? |
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1:
2:
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We have identified the two Number
Properties concepts with which we're dealing. Now we must figure out
how they apply to the question at hand. Our first rule involves odd/even
number combinations. Which of the following odd/even combinations
results in an odd number? Select all combinations that apply and then
click Continue. |
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Our second rule involves prime numbers.
What do we know about the properties of prime numbers? Use your knowledge
of prime numbers to complete the rule below, and then click Continue. |
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2 is the smallest prime, and it is also the only
even prime. All other even numbers may be divided by 2, and therefore
cannot be prime. This means that all primes other than 2 must be odd.
Since x and y form an odd/even
combination, and since both are prime, it follows that one, either x
or y, must be the number 2, and the other must be an odd prime.
We have 2 scenarios:
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