Math for Teachers I
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| 1-1 correspondence | a pairing of the elements of A with the elements of B so that each element of A corresponds to exactly one element of B, and vice versa.
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| set | A collection of objects
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| elements or members | the objects of the set
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| Mayan | 360s
20s
1-19
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| babylonian | 3600 60 under 60
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| I | 1
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| V | 5
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| X | 10
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| L | 50
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| C | 100
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| D | 500
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| M | 1,000
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| If a number is deficient, it is prime. | FALSE 4 IS DEFICIENT AND NOT PRIME.
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| If a number is prime, it is deficient. | True
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| If 4|n and 6|n, then 24|n. | FALSE 4|12 AND 6|12 BUT 24 DOESN’T DIVIDE 12.
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| If 5|n and 3|n, then 15|n | TRUE
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| If a|n, then there is a number b such that a times b = n | TRUE
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| 1,260 has exactly 6 factors. | FALSE 48 FACTORS
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| If n is divisible by 24 it is also divisible by 4 and 6. | TRUE
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| 561 is a prime number. | FALSE 3|561
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| One is a prime number | FALSE ONE HAS NOT PROPER FACTORS.
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| All prime numbers are odd | FALSE TWO IS PRIME AN EVEN.
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| If 12|n, then 3|n | TRUE
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| To decide if 36 divides a number, you can try 4 and 9. If 4 and 9 divide the number, then 36 divides the number | True
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| If n is divisible by 4 and 6 it is also divisible by 24 | FALSE: 4|12 AND 6|12 BUT 24 DOESN’T DIVIDE 12.
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| 32|4 | FALSE THERE DOES NOT EXIST A WHOLE NUMBER B SUCH THAT 34 • B = 4.
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| Every prime number greater than 2 is one more than an odd number | FALSE EVEN
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| To determine if a number is divisible by 11, add its digits. If 11|sum, 11|number. | FALSE, CIRCLE EVERY OTHER DIGIT. ADD THE CIRCLED DIGITS. ADD THE OTHER DIGITS. FIND THE DIFFERENCE OF THESE TWO SUMS. IF 11|THIS DIFFERENCE, 11|THE NUMBER.
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| GCF (a,b) + LCM (a,b) = a• b. | FALSE, GCF (a,b) • LCM (a,b) = a• b
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| Consider 12, 447, 2d2. What digit should "d" be for this number to be divisible by 18. List all possible answers. | 5
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| 2. Consider 14, d27, 120. What digit should "d" be for this number to be divisible by 20. List all possible answers | Any digit or 0,1,2,3,4,5,6,7,8,9
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| 3. Consider 31, 106, 23d. What digit should "d" be for this number to be divisible by 12. List all possible answers. | 2
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| 4. Consider 12, 447, 2d2. What digit should "d" be for this number to be divisible by 24. List all possible answers. | Since d must be 3 or 7 to pass the 8 rule, and neither of these will result in a sum of digits that is divisible by 3, the answer is: NO POSSIBLE DIGIT.
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| Show that you know the process for determining if 214,516,318,199 is divisible by 11. | Sum of circled digits = 2 + 4 + 1 + 3 + 8 + 9 = 27
Sum of other digits = 1 + 5 + 6 + 1 + 1 + 9 = 23
27 – 23 = 4
Since 11 does not divide 4 it does not
divide the given number.
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