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What is the associative property of multiplication?

In mathematics, the associative law applies to both multiplication and addition. It is distinguished from the commutative laws of multiplication and addition by its representation. The commutative law of multiplication states that a*b = b*a. By contrast, the associative law of multiplication states that (a*b)*c = a*(b*c). The associative law means that parentheses in an expression can be moved without changing the value of the expression. This is because the associative law refers to the order of operations, whereas the commutative law refers to the order of values. Multiplication and addition..

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What is a cluster in math?

A cluster in mathematics is often used in data with a classification, which is called data clustering. When using data clustering, a person takes a group of numbers that surrounds a single number and creates a data set. An example of data clustering would be taking 6 people who ran a 100 meter sprint and analyzing their times in seconds. If the times were 39, 34, 35, 34, 33 and 27 seconds, then the data would be clustered around the 34 second mark.Understanding clusters and data clustering can help young children and adults estimate sums in equations. This is called cluster estimation, and man..

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What are the numbers called in an addition problem?

Addition follows several rules of arithmetic. Addition is cumulative, so the order in which one adds the summands does not affect the sum. This is represented mathematically as a+b=b+a. Addition is associative when adding three or more addends, allowing the person adding the numbers to choose to add them in any order, so (a+b)+c=a+(b+c). Addition is considered the simplest of math operations, with young toddlers having the ability to learn to add small numbers.

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What is a trapezoid?

Aside from the base, leg and altitude, a trapezoid is also characterized by its median, perimeter and area. A trapezoid's median refers to the connecting line between the midpoints of the non-parallel sides. Its perimeter measures the total distance around the figure. The formula for the perimeter is P = a + b + c + d, where "P" denotes the perimeter and "a," "b," "c" and "d" indicate the trapezoid's four sides. A trapezoid's area encompasses the entire space within the polygon. It can be calculated by using the formula A = /2, where "A" denotes the area, "b1" and "b2" represent..

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How to graph exponential functions?

Equations for exponential functions have this form: f(x) equals a to the power of x. Exponential functions describe a mathematical procedure whereby a number is multiplied by another number continually.Create a table of valuesDraw a table with two columns and as many rows as the number of points needed for the graph. At the top of the left column put x, and at the top of the right column put f(x), which is another way of saying "y". In the first cell of the left column put "-2", put "-1" in the cell below it, and 0, 1 and 2 in the following cells. Calculate the value of f(x) according to the f..

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What is 3/8 in decimal form?

The reverse process is a little more difficult. To convert a decimal to a fraction, first put the decimal over the number one and then move both numbers to the right until the decimal point is gone. For this example, 0.375 over one becomes 375 over 1,000, because the decimal is moved to the right three places.\nIf necessary, the expression is simplified by finding the largest number that divides into both the top and the bottom. In the fraction 375/1,000, both parts can be divided by 125 to give 3/8, the original fraction.

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What is an isosceles triangle?

A triangle is a basic polygon shape with three sides. The sides must all be straight and form a closed loop. The internal angles of a triangle always add up to 180 degrees.It is possible for all three sides of a triangle to be the same length. If they are, the angles will also be the same, with a size of 60 degrees. This is a special type of triangle called an equilateral triangle.In addition to isosceles and equilateral triangles, there are also triangles where none of the sides or angles are the same size. These are called scalene triangles.Triangles can also be classified according to the s..

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What is a whole number?

Negative numbers and decimals are not considered whole numbers, although negative numbers are considered integers. The set for integers can be written as { ... -3, -2, -1, 0, 1, 2, … }. A counting number is any whole number except for zero and is shown by the set {1, 2, 3, 4, 5, … }. The term "natural number" may refer to either the set of whole numbers or the set of counting numbers.

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What is the definition of "mean absolute deviation?"

For example, the mean of data set {4, 6, 12, 8, 5} is 7 (35 / 5). The absolute value difference between each value and the mean is 3, 1, 5, 1 and 2. The average of these differences is 2.5 (12 / 5). Therefore, the mean absolute deviation of set {4, 6,12, 8, 5} is 2.5.

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What are the five major categories of ratios?

Liquidity or solvency ratios are described as the ability for a company to settle its debts by liquidating its assets. The basic idea of this ratio is to understand the company's value of its assets in relation to its debt or long-term obligations to other financial institutions. This ratio measures the company's availability of cash after liquidation.\nLeverage ratios are the company's ability to pay off its long-term debt to financial institutions or financial partners. While similar to liquidity ratios when it comes to settling debt, this ratio measures the company's cur..

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