Chapter 5: Mods, Bases, & Numeration
Chapter 6:
Number Theory
Number Theory
Chapter 13: Counting
Chapter 14: Probability
100
100 (base 3) is written as this number in base 10.
What is 9?
100
This is the scientific notation for 0.000257.
What is 2.57 x 10^(-4)?
100
You are dealt a hand of 5 cards. This is the number of ways you can order them in your hand.
What is 120? (5x4x3x2x1)
100
The probability of rolling an odd number on a single die.
What is 1/2?
200
The Babylonian numeral ๐น๐น ๐๐๐น๐น๐น is this number in Hindu-Arabic numerals.
What is 143?
2 x 60 + 23
120 + 23
143
200
True or False? An integer is always a whole number.
What is false? Whole numbers are {0, 1, 2, 3, ...} and integers are {..., -2, -1, 0, 1, 2, ...}. The negative integers are not whole numbers.
200
This is the number of distinct 5-card hands that can be made from a standard deck of cards. (Order doesn't matter within a hand.)
What is 2,598,960?
(52x51x50x49x48)/(5!) = 52!/[5!(52-5)!] = 2,598,960
If the order in the hand DID matter, we wouldn't divide by 5!.
200
On the probability table, this is the probability that someone has Instagram and Facebook.
What is 115/125?
300
4(23+1) mod 5
What is 1?
4(8+1) = 4(9) = 4(4) = 16 = 1 (mod 5)
300
1155/15 falls into these following number categories.
What are the natural numbers, the whole numbers, the integers, AND the rational numbers?
1155 รท 15 = 77
300
This is the Fundamental Counting Principle.
What is, "If we we want to perform a series of tasks and the first task can be done in a ways, the second can be done in b ways, the third in c ways, and so on, then all the tasks can be done in a * b * c * ... ways"?
400
is the Egyptian notation for this Hindu-Aramaic number.
What is 2,350?
2x1000+3x100+5x10+0x1
400
True or False? 189 is prime.
What is false? 189=33x7
400
A combination lock with 4 digits (each 0-9) that can be repeated has this many possible combinations.
What is 1000?
10^4
500
12607 equals this number in base 4.
What is 132034?
12607=1x73+2x72+6x7+0x1=48310=1x44+3x43+2x42+0x4+3x1=132034
500
These two integers have a GCD of 30 and an LCM of 630.
What are 90 and 210?
500
The number of ways to rearrange the letters in ENVELOPE.
What is 6720?
8P8/3! = 8x7x6x5x4x3x2x1/6