Chapter 5 Number Theory
... numbers and build the LCM by taking the highest exponent of each factor Begin with 24=23*3 and compare the 2’s factor with 36=22*32 and take the largest 23 Then take the prime factor 3 and compare with the 3’s factor of 32 and take the largest – 32 Build up to 23*32* = LCM=72 ...
... numbers and build the LCM by taking the highest exponent of each factor Begin with 24=23*3 and compare the 2’s factor with 36=22*32 and take the largest 23 Then take the prime factor 3 and compare with the 3’s factor of 32 and take the largest – 32 Build up to 23*32* = LCM=72 ...
Chapter 6 Integers and Rational Numbers
... There is some work which has to be done here. The definition of addition, for example, appears to depend on which choice of pair [a, b] we chose to represent a given integer. So we have to show that, if the equations b + x = a and b0 + x = a0 are equivalent (that is, if a + b0 = a0 + b), and if also ...
... There is some work which has to be done here. The definition of addition, for example, appears to depend on which choice of pair [a, b] we chose to represent a given integer. So we have to show that, if the equations b + x = a and b0 + x = a0 are equivalent (that is, if a + b0 = a0 + b), and if also ...
Modular Arithmetic, Congruence, and Matrices
... 2.2.4 Operation in Zn The three binary operations that we discussed for the set Z can also be defined for the set Zn. The result may need to be mapped to Zn using the mod operator. Figure 2.13 Binary operations in Zn ...
... 2.2.4 Operation in Zn The three binary operations that we discussed for the set Z can also be defined for the set Zn. The result may need to be mapped to Zn using the mod operator. Figure 2.13 Binary operations in Zn ...
ppt
... The last digit of each measured quantity is always estimated. The zeros in a number warrant special attention. A zero that is the result of a measurement is significant, but zeros that serve only to mark a decimal point are not significant. ...
... The last digit of each measured quantity is always estimated. The zeros in a number warrant special attention. A zero that is the result of a measurement is significant, but zeros that serve only to mark a decimal point are not significant. ...
Exponents and Radicals
... (ab)p = apbp (mn)5 = m5 n5 Power of a Quotient Rule When a Quotient has an exponent, each factor is raised to that power. p ...
... (ab)p = apbp (mn)5 = m5 n5 Power of a Quotient Rule When a Quotient has an exponent, each factor is raised to that power. p ...
Alg 1.1 ant. set and Instruction
... When did we begin imagining the imaginary? Closed formulas for the roots of cubic and quartic polynomials were discovered by Italian mathematician Gerolamo Cardano. It was soon realized that these formulas, even if one was only interested in real solutions, sometimes required the manipulation of sq ...
... When did we begin imagining the imaginary? Closed formulas for the roots of cubic and quartic polynomials were discovered by Italian mathematician Gerolamo Cardano. It was soon realized that these formulas, even if one was only interested in real solutions, sometimes required the manipulation of sq ...
Chapter 1
... Adding two positive integers: Add the digits and keep the sign Adding two negative integers: Add the digits and keep the sign Adding a positive and a negative integer: Subtract the smaller from the larger digit (disregarding the signs) and keep the sign of the larger digit (if the sign is disr ...
... Adding two positive integers: Add the digits and keep the sign Adding two negative integers: Add the digits and keep the sign Adding a positive and a negative integer: Subtract the smaller from the larger digit (disregarding the signs) and keep the sign of the larger digit (if the sign is disr ...
