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Numbers and Their Application to Math and Science
Homework for Numbers Lesson 4
- Write out the definition of googol from a good dictionary.
- Write out the definition of googolplex from a good dictionary.
- Compare the American, French, British, and German number systems for the term billion
and milliard. (See next problem.)
- When we think of large numbers, we think of thousands, millions, billions,
and trillions. Find a good dictionary that extends the concept of numbers
beyond trillion and write them down.
- Solve for x and z: 22•23 = 2x and
(22)3 = 2z.
- Clearly apply the FOIL method to expand (x + 1)•(x + 1).
- Write a huge number using ONLY three 9's (and nothing else).
- Use Pascal's Triangle to expand (x + 1)3.
- Calculate 220 and 230.
Compare (relative (percent) difference) with 106 and 109, respectively.
- Knowing that the number of dominoes in a set is a triangular number, and that
there are 28 dominoes in a double 6 set, calculate the number of dominoes in a
double 9, double 12, double 15, and double 16 set.
- Madam I'm Adam. Name no one man.
Some numbers are palindromes. (Look it up in dictionary). Write
at least five of the fifteen prime 3 digit palindromes.
(See also HW 3 problem 4.)
- Convert 11012 into base 10.
- Convert 27 into base 2.
- Convert $1.17 into the smallest number of quarters, nickels, and pennies.
Write this as a base 5 number of pennies.
- Convert 2345 (quarters, nickels, pennies) into base 10
number of pennies.
- Change 38 days into weeks and days.
- Change 210 hours into days and hours.
- Change $2.69 into the smallest number of coins consisting of quarters,
dimes, nickels, and pennies.
- Change A3B516 into base 10.
- Multiply and simplify: (2x - 5)(3x + 2) and (x + 3)(x - 7).
- Bonus: How much is a crore? What is its
value in US dollars?
- Bonus: How much American change can you have and not be able to make change for a dollar?