Part 1: Arithmetic Flashcards
(√(a)) ^ 2
a
√(a^2)
a
√a√b
√(ab)
√a/√b
√(a/b)
For odd order roots, how many roots are there for every number?
one, even for negative numbers.
For even order roots, how many roots are there for every number?
two (a positive and negative root), if the number is positive. zero, if the number is negative.
What is an irrational number?
A number with a decimal that neither terminates nor repeats.
What is a real number?
The set of all rational and irrational numbers.
What is an interval?
A set of real numbers in between two numbers.
|r + s| ? |r| + |s|
less than or equal to
What is a ratio?
A way to express the relative quantities of two values.
15 - (6 - 4) (-2)
19
(2 - 17) / 5
-3
(60 / 12) - (-7 + 4)
8
3^4 - (-2)^3
89
(-5)(-3) - 15
0
(-2)^4 times (15 - 18)^4
1296
(20 / 5)^2 times (-2 + 6)^3
1024
(-85)(0) - (-17)(3)
51
1/2 - 1/3 + 1/12
1/4
(3/4 + 1/7)(-2/5)
-5/14
(7/8 - 4/5)^2
9/1600
(3/-8)/(27/32)
-4/9
Which of the integers 312, 98, 112, and 144 are divisible by 8?
312 and 112 and 144
What is the prime factorization of 372
2 * 3 * 2 * 31
What are the positive divisors of 372
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372
What are the prime divisors of 100?
2, 5
What are the prime divisors of 144?
2, 3
Which of the integers 2, 9, 19, 29, 30, 37, 45, 49, 51, 83, 90, 91 are prime?
2, 19, 29, 37, 83
What is the prime factorization of 585?
3 * 3 * 5 * 13
True or False: -5 < 3.1
True
True or False: √16 = 4
True
TF: 7/0 = 0
False
TF: 0 < |-1/7|
True
TF: 0.3 < 1/3
True
TF: (-1)^87 = -1
True
TF: √((-3)^2) < 0
False
TF: 21/28 = 3/4
True
TF: -|-23| = 23
False
TF: 1/2 > 1/17
True
(59^3)(59^2) = 59^6
False
-√25 < -4
True
What is 40% of 15?
6
What is 150% of 48
72
What is 0.6% of 800
4.8
15 is 30% of what number?
50
11 is what percent of 55?
20%
What percent is an increase of 200 to 234?
17%
What percent is a decrease of 160 to 152?
5%
If you take 40 and increase by 20% then decrease by 25% what is the final number?
36
Total of 20. If ratio of dogs to cats is is 3:2, how many cats?
8
If c is even, and d is odd, is the final number even or odd?
c + 2d
even
If c is even, and d is odd, is the final number even or odd?
2c + d
odd
If c is even, and d is odd, is the final number even or odd?
cd
even
If c is even, and d is odd, is the final number even or odd?
c^d
even
If c is even, and d is odd, is the final number even or odd?
(c + d)^2
odd
If c is even, and d is odd, is the final number even or odd?
c^2 - d^2
odd
When the positive integer n is divided by 3, the remainder is 2, and when
n is divided by 5, the remainder is 1. What is the least possible value of n ?
11
