What System?
814 in base 10 is 1100101110 in base _
base 2
What civilization used base 60?
Mesopotamia
Take the derivative of (x+2)2. Now, plug in 3 for x and write your answer in binary.
1010
Write 63 as a binary number.
111111
Write the numbers of planets there are in binary.
1000
11001000 in binary is 200 in base _
Base 10
What are 2 reasons why the Babylonians and Sumerians might have used base 60?
- Astronomical events + clocks
- 60 has many factors and is easily divisible by 1,2,3,4,5,6
- 60 can be divided by weights and measures into thirds to represent decimals
- Counting all ridges and notches on both hands, we can count to 60
- Each angle in an equilateral triangle is 60°
Take the limit as x approaches infinity of ((3x2+2x+1)/(x2-3x+2))^4. Convert it to base 60.
1L OR 1,21
22
How many digits are used in base 60?
60 (including 0)
32594 in base 10 is 93E in base _
base 60
Which civilization developed the first base-10 number system?
The Egyptians
Take the definite integral of -7x2 +100 from 0 to 3. Convert that to base 60.
3v or 3,57
Write 324 in base 60.
5O or 5,24
Name one thing we use base 60 for in modern day and something it was used for in the past.
Modern - unit circle degrees (360°)
Past - days in a year
822 in base 10 is 1466 in base _
base 8
Why are Roman numerals not commonly used anymore?
They could not be used for zeros, fractions, and large numbers.
Use Euler Method to approximate f(1.4) starting at x=1 with 2 steps of equal size. f(1)=15, f'(1)=8, f'(1.1)=10, f'(1.2)=12, & f'(1.3)=13. Convert your answer to base 8.
23
Write 1652 (base 60) in base 10.
237902
What is Taylor Swift's favorite number in binary?
1101
1110110 in base 2 is 166 in base _
base 8
What are the 7 basic symbols used by the Romans?
I, V, X, L, C, D, M
The velocity of a particle can be described by the function 7 - t2. Find the change in position from t=0 to t=3. Convert it to base 8.
14
Write 27 in base 8.
33
In what century was the concept of 0 as we know invented?
The 5th Century CE