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What is the divisibility rule for the number 8?

Using modular arithmetic, consider that any positive integer N can be written as 1000*M + 100*a + 10*b + 1*c where M is a non-negative integer. The first three digits of N are represented by a, b and c. Because 1000 is divisible by 8, any multiple of M is also divisible by 8. However, because 100, 10 and 1 are not divisible by 8, these three numbers must be tested for divisibility by 8.

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How do you convert 270 kph to mph?

While miles per hour is a typical measurement of speed in the United States, most countries in the international community use kilometers per hour. The kilometer is a unit of length in the International System of Units, commonly known as the metric system, while the mile is a unit of length in the U.S. System of Customary Units.

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What is an example of the associative property of addition?

The property applies to any group of at least three numbers. On the left side of the above example, the 1 and 2 are grouped together, while the 5 is separate. Solving that side involves adding the 1 and 2 for a total of 3, then adding that to the 5 for a total of 8. On the right side of the example, the same numbers are used, but the 2 and 5 are grouped together, while the 1 is separate. Solving for that side involves adding the 2 and 5 for a total of 7, then adding the 1 for a total of 8. As predicted by the associative property of addition, both sides are equal.

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What is 66 kg in stone?

The stone is an imperial unit of weight that was used widely in Europe until the metric system was introduced. Originally, the value weight of a stone varied according to area and the item being weighed. This changed in 1389 in England, when one stone of wool was determined to be equivalent to 14 lbs, according to Metric Conversions. Afterwards, this became the accepted standard weight of a stone. In Britain, stones are still used as a measurement of weight together with pounds.

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How do you calculate surface measurements?

To calculate the surface area of a cube, multiply the length of one side by itself and multiply that total by six. The formula for this equation is represented by "6a^2," where "a" is the length of the side. To calculate the surface area of a rectangular prism, take the measurements of the three sides that are different lengths and label them a, b and c. Multiply "a" by "b" and then by two, multiply "b" by "c" and then by two, multiply "a" by "c" and then by two, then add those totals together. The formula for this equation is represented as "2ab + 2bc + 2ac."\nTwo important tips to ensure tha..

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When would you use integers as an absolute value in a real-life situation?

Integers are numbers that do not have fractional components. They include both positive and negative numbers, as well as zero. Absolute value is the distance a number has from zero. For instance, 2 and -2 both have an absolute value of 2 because both numbers are a distance of 2 from zero. The absolute value of any positive or negative integer is always a whole number, which means a positive number greater than zero.\nExpanding on the example of describing the distance from Tucson, Tucson represents zero on the number line since it is the destination. Once the travellers reach Tucson, they are ..

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What are transformations of parent functions?

Parent function transformations may be done as shifts, either vertically or horizontally. Vertical transformations involve a shifting of y-coordinates either up or down. An example of a vertical transformation is the shifting of an algebraic function two units up. This results to a slight change in the algebraic function from y to y + 2, which signifies the upward shift. Similarly, a horizontal transformation is the shifting of a graph to the left or to the right. When this happens, the value of x is either added to or reduced by the number of units that the graph shifts. For instance, if a fu..

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Why do we need algebra?

Since the Greeks introduced algebra in the third century, it has become a relatively common subject taught in middle and high schools throughout the world.\nThe abstract arithmetic uses letters and symbols to symbolize relationships between fields, sets, groups or matrices, thereby allowing a person to find a piece to a puzzle using "pieces" hehas already put in place.\nAccording to an article published in 2008 in the San Francisco Chronicle, algebra is used to program computers and phones. It is also used to operate GPS, a common feature in many modern cars and trucks.\nLogistics and distribu..

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What are some examples of whole numbers?

Whole numbers are positive integers that proceed to infinity. These numbers are sometimes called natural numbers because they are the type of figures people naturally use in mathematics.\nWhole numbers continue counting infinitely upward because the number one can always be added to the previous number. These digits are added, subtracted, multiplied and divided. Formulas replace whole numbers with variables to create algebraic equations and calculus functions.

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What is Pascal's Triangle used for today?

The numbers in Pascal's Triangle are the binomial coefficients of the polynomial "x + 1". The triangle is used in probability to find combinations of numbers. It contains the triangular numbers in the third diagonal and the tetrahedral numbers in the fourth. The Fibonacci numbers can be found by adding together the numbers in each diagonal row. If each row is summed, the powers of two are found, and the powers of 11 are found by reading across each row. The square of a number can be found in the triangle by adding the two numbers next to and below it.

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