 ## Associative Property – part 1Algebra, Question of the Day, Side Learning

by on July 20, 2012 with Comments Off on Associative Property – part 1 comments

The Associative Property refers to grouping numbers. We will see that regrouping numbers is easy in addition and multiplication. And computations that regroup numbers use the Associative Property. In addition, the rule is: a + (b + c) = (a + b) + c Let’s look at an example! 2 + (3 + 4) = … ## Use cross product to solve proportionsAlgebra, Question of the Day

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A proportion is an equation that compares fractions that are equal. The proportion can be divided into 4 parts, the numerator and denominator of the two fractions. The numerator of the first fraction and the denominator of the second fraction are called the extremes (shown in blue). The denominator of the first fraction and the … ## Learn how to add and subtract matrices!Algebra, General Math, Question of the Day

by on July 7, 2012 with Comments Off on Learn how to add and subtract matrices! comments

A matrix is an array of numbers. The horizontal lines of the matrix are called rows and the vertical lines are called columns. The numbers in the matrix are called elements. The size of a matrix is determined by how many rows and columns are in the matrix. A matrix with m rows and n … ## Pythagorean Theorem – What is the side length?Algebra, Geometry, Question of the Day

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Today’s Question of the Day: How do you find the side lengths of a right triangle? Let’s start by reviewing some terms about a right triangle. A right triangle has two sides (or legs) and a hypotenuse (the side opposite the right angle). In the right triangle ΔABC, the legs are sides a and b … ## How many possible first moves are there in chess?Counting, Probability, Question of the Day

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Today’s Question of the Day: How many possible first moves are there in chess? In chess, the pieces are divided into white and black sets. Each set has 16 pieces, which includes the following: 1 king: can move one square in any direction. 1 queen: combines the power of the rook and bishop and can … ## Solving linear equations – How many solutions can you find?Algebra, Question of the Day, Side Learning

by on June 29, 2012 with 1 comments

Today’s Question of the Day: How many solutions can you find for a system of linear equations? Case 1: Infinitely Many Solutions Solve for x and y. y = 2x – 1 2y = 4x – 2 Answer: Upon first comparison, the equations look different. However, if we divide the second equation by 2, we … ## Order of Operations – Do I add or multiply first?Algebra, Question of the Day, Side Learning

by on June 28, 2012 with 1 comments

Today’s Question of the Day: Have you ever had a problem like this? Simplify 1 + 4 * 3 / 2 – 5 Do you ever find it confusing whether to add to multiply first? Or just don’t know where to start? To simplify in the correct order, we use PEMDAS, which stands for: Parentheses …