Solving a Consecutive Number Problem
Writing an equation to solve a word problem, then solving the equation and checking the answer.
Subject: fraction
Transcript: WHOLE NUMBERS. WHOLE NUMBERS ARE THE NUMBERS 0, 1, 2, 3, AND SO ON. NO FRACTIONS. SO THAT RULES OUT COMBINATIONS LIKE 9 AND 1/2 AND 25 AND 1/2. AND
Approximate Square Roots
Finding the approximate square root for numbers that are not perfect squares is demonstrated. Irrational numbers are explained.
Subject: fraction
Transcript: ITSELF. NUMBERS LIKE THIS ARE CALLED IRRATIONAL NUMBERS BECAUSE THEY CAN'T BE WRITTEN AS RATIOS OR FRACTIONS. TO WRITE THE APPROXIMATE SQUARE ROOTS OF
Applying the Slope Formula to a Graph
Using the slope formula to plot a graph.
Subject: fraction
Transcript: . Y SUB 2 MINUS Y SUB 1. X SUB 2 MINUS X SUB 1. NEGATIVE 17 OVER NEGATIVE 16. A FRACTION WITH NEGATIVE NUMBERS IN BOTH THE NUMERATOR AND DENOMINATOR
Approximating the Value of a Solution
Sometimes it makes sense to approximate the value of a solution. An example is given and the solution found.
Subject: fraction
Transcript: WE'VE SEEN THAT QUADRATIC EQUATIONS CAN HAVE ANSWERS THAT ARE INTEGERS, FRACTIONS, OR IRRATIONAL NUMBERS. WE USUALLY LEAVE IRRATIONAL SOLUTIONS
Adding Rational Numbers with Different Denominators
In order to add or subtract rational expressions with different denominators, the least common denominator must be found and the fractions rewritten
Subject: fraction
Transcript: , BEFORE WE CAN ADD 2/5 AND 3/10, WE HAVE TO WRITE THE FRACTION SO THEIR DENOMINATORS ARE THE SAME. TO DO THAT, WE MUST FIND THE LEAST COMMON DENOMINATOR. IN
Adding and Subtracting Rational Expressions
The rules for adding and subtracting rational expressions are similar to those for adding and subtracting rational numbers, beginning with the rule that in order to be added, rational numbers must have the same denominator. Addition examples are dem...
Subject: fraction
Transcript: DENOMINATOR OF 9, SO WE CAN ADD THE NUMERATORS. 2 PLUS 4 IS 6. THE SUM OF THE TWO FRACTIONS IS 6/9. THE REDUCED FORM OF THIS FRACTION IS 2/3. WE USE THE SAME
When the Elimination Method is Easiest
How to decide whether substitution or elimination is the better method for solving a system of equations when both equations are in the same form and neither has been solved for a variable.
Subject: fraction
Transcript: MATTER WHICH VARIABLE WE SOLVED FOR, DIVISION WILL GIVE US TERMS WITH MESSY FRACTIONS. WE'D HAVE TO DO A LOT OF ARITHMETIC TO WORK WITH NUMBERS LIKE THESE
Solving an Equation with a Fraction Containing Different Denominators
Solving an equation with two fractions containing different denominators.
Subject: fraction
Transcript: EVERYTHING BY 2. THAT GETS RID OF THE FIRST DENOMINATOR. THEN, MULTIPLY EVERYTHING BY 3. IF YOU'RE COMFORTABLE WORKING WITH FRACTIONS, YOU CAN DO ALL OF THIS
Denominator of a Simplified Expression Never Has Radicals, The
A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...
Subject: fraction
Transcript: MORE THAN ONE RADICAL. SIMPLIFIED TERMS HAVE NO COMMON RADICAL FACTORS. AND ALL FRACTIONS ARE REDUCED. NOW WE'LL LEARN ONE FINAL GUIDELINE. IN A
Division with a Binomial in the Numerator
Examples of simplifying radical expressions with division when numerators contains a binomial.
Subject: fraction
Transcript: FRACTIONS TO GET A SINGLE TERM. 3 PLUS THE SQUARE ROOT OF 3 ALL OVER 2. THERE'S ANOTHER WAY TO THINK ABOUT THIS PROBLEM. AFTER WE SIMPLIFY THE SQUARE ROOT OF