Arithmetic Flashcards
What is a Radical?
The root of something
What are Integers?
Whole numbers
They can be either positive or negative
What is a Number Line?
A line that shows evenly shaped integers from left to right
(+1) x (+1) =
+1
(+1) x (-1) =
-1
(-1) x (-1) =
+1
(+1) / (+1) =
+1
(+1) / (-1) =
-1
(-1) / (-1) =
+1
An even number +/- an even number is an _____ number
Even number
An odd number +/- an even number is an _____ number
Odd number
An odd number times an odd number is an _____ number
Odd number
An even number times an even number is an _____ number
Even number
An odd number times an even number is an _____ number
Even number
What is a Prime Number?
A number that is only divisible by itself or by one
Are prime numbers ever negative?
No
What is a Composite Number?
A number that has three or more divisors
All even numbers except ______ are composites.
0 and 2
The numbers _____ are neither primes nor composites.
0 and 1
Is zero positive or negative?
Neither
What is a Factor?
A number that can divide into another number without a remainder
What is a Quotient?
The answer to a division problem
What is a Dividend?
The number being divided into
What is a Product?
The answer to a multiplication problem?
A number is divisible by 2 if, _________.
It is an even number
A number is divisible by 3 if ______.
The sum of all its digits is divisible by 3
A number is divisible by 4 if ________.
The last 2 digits are divisible by 4
A number is divisible by 5 if ________.
It ends in 0 or 5
Prime numbers greater than 10 always end in _________.
1
3
7
9
What is the Highest Common Factor?
The largest number that can be divided into 2+ numbers
What are two other names for the Highest Common Factor?
Greatest common factor
Greatest common divisor
What does HCF stand for?
Highest Common Factor
What does GCF stand for?
Greatest Common Factor
What does GCD stand for?
Greatest Common Divisor
What is the Lowest Common Multiple?
The smallest numbers that can be created by multiplying two different numbers
What are Fractions?
A quotient of 2 qualities
What is a Numerator?
The top part of a fraction
What is the Denominator?
The bottom part of a fraction
What are Like Fractions?
Ones that have the same denominator
What are Unlike Fractions?
Those with different denominators
What are Proper Fractions?
Ones where the numerator is less than her denominator
Those less than 1
What are Improper Fractions?
Those where the numerator is more than the denominator
Those greater than 1
What are Mixed Fractions?
A combination of an integer and a proper fraction
If I raise a fraction to a higher term (________), will this change the fraction’s value?
(Multiplying both the numerator and the denominator by the same number)
No - it will not change
If I add +1 to both the numerator and the denominator of a Proper Fraction, this will make the fraction’s value _____.
Increase
If I add +1 to both the numerator and the denominator of an Improper Fraction, this will make the fraction’s value _____.
Decrease
Adding a +1 to both the denominator and numerator of a fraction causes it’s value to move closer to ______.
One
If I add +1 to the numerator of a fraction, this will make the fraction’s value _____.
Increase
If I add +1 to the denominator of a fraction, this will make the fraction’s value _____.
Decreases
If A/B = 3/7…
Is A+1/B+1 greater or lesser than A/B?
Greater
If A/B = 3/7…
Is A/B+1 greater or lesser than A/B?
Lesser
If A/B = 3/7…
Is A+B/A-B greater or lesser than A/B?
Lesser
If M/N = 5/4….
Is M+7/N+7 greater or lesser than M/N?
Lesser
If M/N = 5/4….
Is M+0.83/N+0.8 greater or lesser than M/N?
Greater
The larger number is being added to the top
If M/N = 5/4….
Is M/N+0.01 greater or lesser than M/N?
Lesser
If M/N = 5/4….
Is M-(-N)/M-N greater or lesser than M/N?
Greater
The top number will be larger
How do you subtract like fractions?
P/Q + R/Q
P/Q - R/Q
P+R/Q
P-R/Q
How do you add/subtract unlike fractions?
P/Q + R/S
P/Q - R/S
PS+QR/QS
PS-QR/QS
When multiplying, you should change all mixed fractions into _____.
Improper fractions
How do you divid fractions?
Flip the second fraction then multiply
What is a complex fraction?
A fraction within a fraction
How do you find the greater of two fractions?
Multiply the 1st nominator by the 2nd denominator then multiply the 1st denominator by there 2nd nominator.
If the first number is greater, then the first fraction is larger. If the second by number is greater, then the second fraction is larger.
If the numbers are equal then the fractions are equal
What are decimals?
Number that have an integer along with a decimal fraction
In the number 0.456….
4 is in the ______ place.
Tenths
In the number 0.456….
5 is in the ______ place.
Hundredths
In the number 0.456….
6 is in the ______ place.
Thousandths
How else could you write the number 6.3¹/₄
6.325
How else could you write the number 27.4²/₃
27.46666666
What are percentages?
A quality expressed out of 100
How do we put a percent into a decimal?
Divide the percentage by 100
How do you change a decimal into a percent?
Multiply the decimal by 100
How do you change a percent into a fraction?
Place the number over 100
%/100
How do you change a fraction into a percent?
Multiply the fraction by 100 then all the “%” sign
What is a ratio?
A quotient of two quantities
x:y or x/y
What is a proportion?
A statement that compares the equivalency of two ratios
a:b::c:d or a:b = c:d
(This means a:b is equal to c:d)
Can a proportion be reduced to lower terms or raised to higher terms?
Yes
What is an average?
The sum of all the numbers divided by the total quantity of numbers
What is another terms that mean average?
Mean
What is the base of 7³?
7
What is the exponent of 7³?
3
What are two other terms for exponent?
Power
Index
X⁰ = ?
1
√16 can also be written as ______.
16 to the power of 1/2
How else can ˣ√n be written?
n to the power of 1/x
How else can √(a x b) be written?
√a x √b
How else can √a/b be written?
√a / √b
Does √(a ± b) = √a ± √b?
No
Does x√a ± y√a = (x ± y)√a?
Yes
What is the Order of Operations?
6
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
What is Absolute Value?
3
The value of a number irregardless of its sign
It is always positive
It is never negative
How is Absolute Value notated?
|x|
What is |-4.19|?
4.19
What is |25|?
25
