Q:

What is the definition of extremes in math?

A:

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.

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.


Is this answer helpful?

Similar Questions

  • Q:

    What is the definition of standard form in math?

    A:

    There are many standard forms in mathematics. A common standard form is the standard form equation of a line, following the pattern of Ax + By = C, where A and B are not zero.

    Full Answer >
    Filed Under:
  • Q:

    What are "friendly numbers" in math?

    A:

    Friendly numbers are individual numbers that make up part of what is known as a friendly pair. Friendly numbers always come in sets of two, and they are known for having a positive density.

    Full Answer >
    Filed Under:
  • Q:

    How do you define "exponential?"

    A:

    "Exponential" is an adjective that means of pertaining to an exponent or exponents, of pertaining to the constant "e," or of an equation having one or more unknown variables in one or more exponents. The word is common in mathematics, and its origins are French and Latin.

    Full Answer >
    Filed Under:
  • Q:

    What is Mad Math?

    A:

    "Mad Math" and "Mad Math 2" refer to app games for various smartphone systems that let kids practice addition, subtraction, multiplication and division. Versions of the game vary in complexity; "Mad Math Lite" is a free offering on the Apple iTunes website as of September 2014. "Mad Math 2" include math games based on bingo and bubbles.

    Full Answer >
    Filed Under:

Explore