When solving proportions in math, the outer terms in the calculation are the extremes, and the middle terms are called the means. When setting the proportion equation a/b = c/d, the a and the d figures are the extremes. Cross multiplication to solve the equation yields a x d = b x c, and division allows for solving to identify the quantity of the variable.Know More
The following word problem gives a step-by-step explanation for solving this type of proportion.
Two picnic tables are of different sizes but have proportionate dimensions. The larger table is 15 feet wide by 10 feet long, and the smaller table is 9 feet wide. What is the length of the smaller table?
The proportion sets up as follows: 15/10 = 9/x. In this problem, 15 and x are the extremes, and 9 and 10 are the means. Cross multiplying yields 15x = 90, and dividing both sides by 15 yields an answer of x = 6. Each table has a proportion of 2:3 when it comes to length:width, and the smaller table's dimensions are 3/5 those of the larger table.
Understanding how extremes and means work when solving proportion equations is one of the most important concepts to master in the early phases of algebra.Learn More
In math, the word "value" refers to a number. This number is often the result of a previous calculation, but it can also refer to the value of a variable or constant.Full Answer >
A zero-sum game is one where the gains by one player or participant are exactly even to the losses of the other player. An example would be two countries fighting over a piece of land. If one country gains it, then the other country loses it.Full Answer >
In math, number and word notation is simply writing the significant digits of a large number and using words for the place value. For example, the number 45,000 in number and word notation is 45 thousand.Full Answer >
The number 16 is an even number and is the only integer that has the form xy=yx, where x and y are different numbers (2 and 4). Another fact is that the base 16, or hexadecimal system, is a notational system for expressing real numbers used in computer science. The 16 digits it uses to represent numbers are the numbers 0-9 and the letters A-F.Full Answer >