commutative property states that two or more numbers can be added or multiplied in any order and still arrive at the same sum or product ie 8 20 2
Written for
HSPT
All documents for this subject (392)
Seller
Follow
scottgrades
Reviews received
Content preview
HSPT Math Review with complete
solution
Commutative Property - States that two or more numbers can be added or multiplied in
any order and still arrive at the same sum or product. i.e. 8 + 20 = 20 + 8 7 • 12 = 12 • 7
Distributive Property - If you multiply a sum by a number, you will get the same result if
you multiply each addend by that number and then add the products. i.e. 4(7 + 6) = 4(7)
+ 4(6)
Exponent - A raised number that tells the power of the base.
i.e. 43 = 4 • 4 • 4 = 64
62 = 6 • 6 = 36
Identity Property - Has 2 parts. The sum of any number and Zero is that number. The
product of any number and One is that number. i.e. 8 + 0 = 8
45(1) = 45
Inequality - A mathematical sentence that shows the relationship between quantities
that are not equivalent.
i.e. 5‹8
5b + 2 ≥ 12
Integers - The set of positive whole numbers, negative whole numbers and zero.
i.e. ...-4, -3, -2, -1, 0, 1, 2, 3, 4
Irrational Number - A number that cannot be expressed as a ratio of two integers or as a
repeating or terminating decimal.
i.e. 4.45683127406792103694396...
∏ = 3.14159265358979323846...
Mean - In a numerical data set, the sum of all the data divided by the number of data
items.
i.e. Find the mean of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
1. 12+45+32+15+40+25+29+49+22+27+31+33+31 = 391 2. 391 ÷ 13 = 30.076923
3. Round to the hundredths place = 30.08
Median - The middle item in a data set ordered from least to greatest.
i.e. Find the median of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33,
31
1. Arrange data from least to greatest
, 12, 15, 22, 25, 27, 29, 31, 31, 32, 33, 40, 45, 49
2. Find the center # 31
Mode - The item or items that appear the most often in a data set.
i.e. Find the mode of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27, 31, 33, 31
The # that appears the most is 31.
Probability - A number from 0 to 1 that tells how likely an event is to happen.
i.e. What is the probability that I will get "heads" when I flip a coin?
1 out of 2, 50%, 0.5, 1:2, 1⁄2
Proportion - An equation that states that two ratios are equivalent.
i.e. 5 = 25
12 60
Range - The difference between the greatest data value and the least data value in a
data set. i.e. Find the range of the following data: 12, 45, 32, 15, 40, 25, 29, 49, 22, 27,
31, 33, 31
The largest data item is 49. The smallest data item is 12. Subtract the two: 49 - 12 = 37.
Therefore the range is 37 for this data set.
Rational Number - Any number that can be expressed as a ratio of two integers.
i.e. 6 can be expressed as 6, and 0.5 as 1.
12
Scientific Notation - A number that is written as the product of a decimal greater than or
equal to 1 and less than ten and a power of 10.
i.e. Write 6,224,000,000,000 in scientific notation. 6.224 • 1012
Zero Product Property - The product of any number and zero equals zero.
i.e. 3•0=0
Compatible numbers - Numbers that can be divided evenly; useful in estimating
quotients
Ex. 27.2÷4.14 ≈ 28÷4=7...28and4arecompatible#s.
Reciprocal - A number that can be multiplied by another number to make 1 (numerator
and denominator
are switched)
Ex. is the reciprocal of because
×=1
Percent - A ratio that compares a number to 100
Ex. 25% is a percent that represents ( ).
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller scottgrades. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $12.99. You're not tied to anything after your purchase.