Argand Diagrams and the Polar Form
... 2. Find the polar form of (i) 1 − i, (ii) 1 + 3i (iii) 2i − 1. Hence calculate (2i − 1) 3. On an Argand diagram draw the complex number 1+2i. By changing to polar form examine the effect of multiplying 1 + 2i by, in turn, i, i2 , i3 , i4 . Represent these new complex numbers on an Argand diagram. 4. ...
... 2. Find the polar form of (i) 1 − i, (ii) 1 + 3i (iii) 2i − 1. Hence calculate (2i − 1) 3. On an Argand diagram draw the complex number 1+2i. By changing to polar form examine the effect of multiplying 1 + 2i by, in turn, i, i2 , i3 , i4 . Represent these new complex numbers on an Argand diagram. 4. ...
5. factors and multiples
... Divisibility by factors of 10 Without making the division, you know that the number 131 880 is divisible by 10 because it ends in a 0 digit. Each of the expressions below is equal to 131 880: 13 188 x 10 13 188 x 2 x 5 13 188 x 5 x 2 Without making the division, you know that any number that is divi ...
... Divisibility by factors of 10 Without making the division, you know that the number 131 880 is divisible by 10 because it ends in a 0 digit. Each of the expressions below is equal to 131 880: 13 188 x 10 13 188 x 2 x 5 13 188 x 5 x 2 Without making the division, you know that any number that is divi ...
Big Ideas - Learn Alberta
... Some fractions can be compared by relating them to benchmark numbers such as 0, 1 and ...
... Some fractions can be compared by relating them to benchmark numbers such as 0, 1 and ...
Show all work Show all work 1. Divide – take out to the thousandths
... 4. Mean - Find the mean of the given numbers. Round to the tenths place if necessary. ...
... 4. Mean - Find the mean of the given numbers. Round to the tenths place if necessary. ...
Lecture Slides
... – If ad = bd, sort will leave a and b in the same order - we use a stable sorting for the digits. The result is correct since a and b are already sorted on the low-order d-1 digits 6/08/2004 Lecture 6 ...
... – If ad = bd, sort will leave a and b in the same order - we use a stable sorting for the digits. The result is correct since a and b are already sorted on the low-order d-1 digits 6/08/2004 Lecture 6 ...
Lecture Notes for MA 132 Foundations
... A prime number is a natural number (1, 2, 3, . . .) which cannot be divided (exactly, without remainder) by any natural number except 1 and itself. The numbers 2, 3, 5, 7 and 11 are prime, whereas 4 = 2 × 2, 6 = 2 × 3, 9 = 3 × 3 and 12 = 3 × 4 are not. It is entirely a matter of convention whether ...
... A prime number is a natural number (1, 2, 3, . . .) which cannot be divided (exactly, without remainder) by any natural number except 1 and itself. The numbers 2, 3, 5, 7 and 11 are prime, whereas 4 = 2 × 2, 6 = 2 × 3, 9 = 3 × 3 and 12 = 3 × 4 are not. It is entirely a matter of convention whether ...
1.1 Integer Types in Matlab
... car took to the highway, the dial farthest to the right would rotate through 1 mile to 00000001, then 2 miles to 00000002, etc., until it reached 9 miles and recorded 00000009. Now, as the car moves through the tenth mile, the far right wheel rotates and returns to the digit 0 and the second to the ...
... car took to the highway, the dial farthest to the right would rotate through 1 mile to 00000001, then 2 miles to 00000002, etc., until it reached 9 miles and recorded 00000009. Now, as the car moves through the tenth mile, the far right wheel rotates and returns to the digit 0 and the second to the ...
F6 Solving Inequalities Introduction
... Of course, with calculators and computers we can dramatically narrow this inequality – indeed, to any desired degree of accuracy – but remember that Archimedes had none of this technology to help him! In addition to his work on estimating π , Archimedes' great claim to fame arises from his theorem w ...
... Of course, with calculators and computers we can dramatically narrow this inequality – indeed, to any desired degree of accuracy – but remember that Archimedes had none of this technology to help him! In addition to his work on estimating π , Archimedes' great claim to fame arises from his theorem w ...
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.