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... This is fundamentally different from demonstrating that if a statement S is true then a contradiction exists, which means that S must be false. In the case of Cantor's Proof we assume that the set of reals can be arranged into a list that contains all the members of the list. Then we assume that a v ...
... This is fundamentally different from demonstrating that if a statement S is true then a contradiction exists, which means that S must be false. In the case of Cantor's Proof we assume that the set of reals can be arranged into a list that contains all the members of the list. Then we assume that a v ...
Powers of Ten & Significant Figures
... decimal point [even if there is nothing after it] Example: 210 and 210000 both have two significant figures, while 210. has three and 210.00 has five the difference is in how accurately they were measured… 210 is accurate to only the “tens” place 210. is accurate to the “ones” place ...
... decimal point [even if there is nothing after it] Example: 210 and 210000 both have two significant figures, while 210. has three and 210.00 has five the difference is in how accurately they were measured… 210 is accurate to only the “tens” place 210. is accurate to the “ones” place ...
Pa g e1 2.2 Add Real Numbers Goal • Add positive and negative
... 13) Discuss what you found with your group. Try to summarize the rules for adding two integers by filling in the following sentences: A) When you add two positive numbers, ____________________ the absolute values of the numbers; the answer will always be _______________________. Show an example: B) ...
... 13) Discuss what you found with your group. Try to summarize the rules for adding two integers by filling in the following sentences: A) When you add two positive numbers, ____________________ the absolute values of the numbers; the answer will always be _______________________. Show an example: B) ...
September Unit MATH - Study Guide
... Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 5 ...
... Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 5 ...
Name
... negative number indicates the amount by which a record has been broken. A positive number indicates the amount by which the record has failed to be broken. a. In the discus throw, Devan scored 7, Joel scored +15, and Greg scored the opposite of Devan. 1. By how much did Greg’s distance exceed Joel’s ...
... negative number indicates the amount by which a record has been broken. A positive number indicates the amount by which the record has failed to be broken. a. In the discus throw, Devan scored 7, Joel scored +15, and Greg scored the opposite of Devan. 1. By how much did Greg’s distance exceed Joel’s ...
Graphing absolute values on a numberline
... Translate into English: we are looking for those real numbers x whose distance from the origin is less than 5 units. we are talking about values in the interval between -5 and 5: ...
... Translate into English: we are looking for those real numbers x whose distance from the origin is less than 5 units. we are talking about values in the interval between -5 and 5: ...
Arithmetic

Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.