High School Algebra Archives - Page 13 of 31

Properties of Addition and Multiplication of Real Numbers

December 15, 2012 GB High School Algebra, High School Mathematics

We are all familiar with some properties of real numbers. Real numbers are commutative, associative, and closed under addition and multiplication. We have also discussed that multiplication of real numbers is distributive over addition.

In this post, we formalize our knowledge of these properties of real numbers and add two more to the list: the identity and inverse properties. Notice also that almost all properties under addition have their corresponding equivalents under multiplication. » Read more

One comment associative property, closure property, commutative property, identity element, inverse element, properties of real numbers

Math Word Problems: Solving Motion Problems Part 2

November 19, 2012 GB High School Algebra, High School Mathematics

This is the second part of the Solving Motion Problems Series, a part of the Math Word Problem Solving Series. In the first part, we have learned that $d = rt$ , where $d$ is the distance traveled by an object, $r$ is the rate, and $t$ is the time.

In this post, we discuss the two common types of motion problems: two objects traveling to opposite directions and two objects traveling toward each other. » Read more

One comment distance-rate-time problems, math word problems, motion opposite direction, motion problems, motion toward each other, motion word problems

Math Word Problems: Solving Motion Problems Part 1

November 1, 2012 GB High School Algebra, High School Mathematics

This is the third topic the the Math Word Problems Solving Series. In this series, we are going to learn about motion problems — problems about distance, rate, and time.

In motion problems, a car traveling 70 kilometers per hour is mostly assumed to be traveling at a constant speed. Of course, this is not true in the real world. In reality, we can think of 70 kilometers per hour as the average speed of the car.

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