# Math 84 Pre-Algebra

## Questions

1. Write the number 603, 240, 999 in words.
A: Six hundred three million two hundred forty thousand nine hundred nine.

2. Write the number Thirty -two million, six hundred eighty thousand in standard form.
A: 32,687,000

3. Round the number 42, 611, 999 to the nearest ten thousand.
A: 42,610,000

4. Perform the addition : 102, 130 + 371, 251 + 4, 294, 269 + 2,026, 952.
A: 6,794,602

5. Perform the subtraction : 3, 150, 002 - 266, 998.
A: 2,883,004

6. The following table lists the number of students enrolled in college with various majors.

 Major Number of Students Art 2,149,000 Business 8,391,000 Engineering 5,899,000 Philosophy 2,702,000 Physical Ed. 2,324,000

What is the total number of enrrolled students for oll of the above-listed majors except philosophy?
A: 18,763,000

7. Perform the multiplication: 9, 009 x 854.
A: 7,693,686

8. Perform the division: 2, 292 56.
A: 40 r 52

9. If Nevada has a population of approximately 800, 000 people and New York of 18, 000, 000 people.
Approximately how many times bigger is New York compared to Nevada in terms of population ?
A: 18,000,000 800,000 22 times.

10. Compute the power : 105.
A: 100,000

11. Compute the product of powers : .
A: 211 = 2048

12. Compute the product of powers: .
A: 8•5•49 = 1960

13. Simplify the expression : (35 + 7) (18 - 12)• 4.
A: 28

14. Simplify the expression : .
A: 96

15. Identify the basic operation in . You don't need to simplify the
expression.
A: The between

16. Determine whether or not the number 9, 681, 849, 520 is divisible by 2, 3, or 5. If your anser is Yes
nd the quotient, if it is No explain why it is not divisible.
A: 2, yes. 9, 681, 849, 5202 = 4, 840, 924, 760.
3, no The sum of the digits is 52 which is not divisible by 3.
2, yes. 9, 681, 849, 520 5 = 1, 936, 369, 904.

17. Find all the prime factors of 440 and write it as a product of these primes.
A:

18. Find all the prime factors of 5, 915 and write it as a product of these primes.
A:

19. Calculate the L .C.M. of the numbers 60 and 50, then write the L.C.M. as a product that involves
each number.
Example: The L.C.M of 6 and 8 is 24. We then write 24 = 6x4 and 24 = 8x3.
A: L:C:M: = 300 =
300 = 60•5
300 = 50•6

20. Calculate the G.C.F. of the numbers 2, 220 and 260, then write each number as a product that
involves the G.C.F.
Example: The G.C.F of 6 and 8 is 2. We then write 6 = 2 x3 and 8 = 2 x4.
A: G:C:F: = 20 = 2•2•5 = 22 •5
2260 = 20•113
260 = 20•13

21. Calculate both the L.C.M. and the G.C.F. of the numbers 78, 42, and 104.
A: L:C:M: = 2184 =
G:C:F: = 2

22. Rewrite the equation 15• 7 + 15 •23 + 15 •2 + 15 •8 = using the distributive law.
A: 15 •(7 + 23 + 2 + 8 )

23. Rewrite the equation 12 •13 + 12 •12 + 12 •0 + 12• 5 = using the distributive law .
A: 12• (13 + 12 + 0 + 5 )

24. Rewrite the equation 8 •(11 + 32 + 8 + 17) = using the distributive law.
A:
Extra Question

Mr. Salazar doesn't like to perform operations involving multiplication of numbers that are bigger than 100
in front of the class because:

a) Today is his birthday.
b) He has a niece called Abigail and another one called Beatriz.
c) He is very lazy and regards numbers bigger than one hundred as too large.
d) He and his wife teach Rueda de Casino (a.k.a. ` cuban salsa ') at a place called La Bodeguita de
Pico1

e) Nueve por ocho, setenta y dos" doesn't sound very good in english.
f) All of the above.

I didn't learn the multiplication tables in English, so I perform the operations in Spanish and
translate the result
. Were you inside the classroom when I mentioned this fact?
Options a), b) and d) although true have nothing to do with me feeling uncomfortable performing multipli-
cations.

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