Chapter 3: Complex Numbers
... Remarks 1. Formal means in particular, that the + is just a symbol, it doesn’t mean addition (yet). 2. We often write a for a + 0i and bi for 0 + bi. ...
... Remarks 1. Formal means in particular, that the + is just a symbol, it doesn’t mean addition (yet). 2. We often write a for a + 0i and bi for 0 + bi. ...
Whole Numbers
... Some students may think the sum of any two rational numbers is always greater than the two addends. Some students may think the difference of any two rational numbers is always less than the greater. Some students may think the product of any two rational numbers is always greater than the factors. ...
... Some students may think the sum of any two rational numbers is always greater than the two addends. Some students may think the difference of any two rational numbers is always less than the greater. Some students may think the product of any two rational numbers is always greater than the factors. ...
Unit A: Real Numbers - myLearning | Pasco County Schools
... Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret produc ...
... Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret produc ...
fractions as ratios
... equivalent fractions.) For instance, the ratios 2 : 3 and 4 : 6 are equivalent, as the second ratio can be obtained by multiplying both numbers of the first ratio by 2. Ratios 10 : 5 and 2 : 1 are also equivalent, as the second ratio is obtained by dividing both numbers of the first ratio by 5. Like ...
... equivalent fractions.) For instance, the ratios 2 : 3 and 4 : 6 are equivalent, as the second ratio can be obtained by multiplying both numbers of the first ratio by 2. Ratios 10 : 5 and 2 : 1 are also equivalent, as the second ratio is obtained by dividing both numbers of the first ratio by 5. Like ...
Irrational Numbers - Furman`s mathematics
... a. Explain why we may conclude that m is an even number. b. Since m is an even number, we may write m = 2c for some integer c. Then we have 2n2 = m2 = (2c)2 = 4c 2 . Explain why this implies that n is an even number. c. Explain √ why (a) and (b) imply a contradiction of our original assumption that ...
... a. Explain why we may conclude that m is an even number. b. Since m is an even number, we may write m = 2c for some integer c. Then we have 2n2 = m2 = (2c)2 = 4c 2 . Explain why this implies that n is an even number. c. Explain √ why (a) and (b) imply a contradiction of our original assumption that ...