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How do you find the distance between two points?

Plot the points on a graphEach point has both an x and a y coordinate.Find and square the differences between coordinatesSubtract the x of point one from the x of point two. Square the result. Subtract the y of point one from the y of point two. Square that result too. Add together the squared distancesAfter squaring the distance between the x-coordinates and the y-coordinates, add the squared results together. Take the square root of the coordinate sumAfter the squared results are added together, take the square root of their sum. The result is the distance between the two points.

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How many rectangles can you build with a prime number of square tiles?

A rectangle made from 13 tiles, for example, would have the dimensions 13 by 1. This way of making rectangles could lead to some very long, very skinny rectangles, but even an array many millions of tiles long would still have a width equal to one tile and be a valid rectangle. Composite numbers have at least three factors including one and themselves, so at least two distinct rectangular arrays must be possible for any composite number.

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What are some things that come in groups of five?

The five basketball positions are center, point guard, power forward, shooting guard and small forward. The five food groups are dairy, fruits, grains, proteins and vegetables. Erie, Huron, Michigan, Ontario and Superior are the five Great Lakes, and the Arctic, Atlantic, Indian, Pacific and Southern are the five oceans. The five senses are hearing, sight, smell, taste and touch. The Air Force, Army, Coast Guard, Marines and Navy are the five U.S. military branches. The five vowels in English are a, e, i, o and u.\nThe names of the Marx brothers are Chico, Groucho, Gummo, Harpo and Zeppo. The ..

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What is simple way kids can figure out percentages?

An example of this technique is to associate the fractions 1/5,1/4 1/2 and 3/4 with 20 percent, 25 percent , 50 percent and 75 percent, respectively. Teachers can show that 50 percent is 50 squares on the grid sheet, which is exactly half of all the squares on the grid.Using these basic percentages with their equivalent fractions, it is easier for students to solve simple problems that involve percentage like finding 25 percent of 80 or 20 percent of 75. By using the fact that 25 percent is the fraction 1/4, a student can find the answer by multiplying 1/4 by 80 to get 20. In the same manner, ..

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How do you calculate a percentage increase?

Calculate the difference between the two valuesSubtract the old value from the new value. If the old value is 60 and the new value is 90, then the difference is 90 minus 60, or 30.Find the quotient of the difference of the two values and the old valueDivide the difference of the two values by the old value. For the old value 60 with the difference of 30 from the new value, the quotient of the two is 30/60, or 1/2Calculate the percentage increaseMultiply the quotient by 100. This is the percentage difference. For the quotient of the old value and the difference between the two values 1/2, the p..

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How do you give a tutorial on percentages?

You can establish this concept using a 10x10 grid. Have your grid on transparency and shade in portions of the grid (such as one square) and have the student state what percentage is shaded. You should then alter the base number in your example. Have only one row of your grid, or 10 boxes, visible, and shade in only one box. Be sure the student can appreciate that this is now 10% of the whole row.\nFrom here you want to move on to expressing percentages as a decimal and fraction. To convert to a decimal, use the trick where you place the decimal two spots to the left of the last number in the ..

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What is introductory algebra?

Early portions of the course focus on variables and how to evaluate expressions that involve variables. Subsequent lessons show how to manipulate variables and expressions, including specific types of applications. Content progresses into a study of equations and inequalities, as well as how to solve them using the appropriate algebraic manipulation techniques from the first part of the course.\nSince algebra is essential in the field of mathematics, it is important to become comfortable with it to succeed in higher-level courses. Thoroughly studying learning resources and working through prob..

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What is a number combination calculator?

A combination refers to a selection of numbers from a larger set of numbers in which the order of the individual numbers of the set does not matter. A combination can be calculated by hand using the formula n! / (r! (n - r)! ), where n represents the total of numbers present in the larger set and r represents the number of values in the smaller set.\nSimilar to combinations are permutations. Permutations are combinations in which the order of the individual numbers of the smaller set is significant. Because the order of the numbers matters, permutation calculations generate larger figures than..

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What is a quadrilateral with exactly one pair of opposite sides that are parallel?

All trapezoids have at least one acute and one obtuse interior angle, although they most frequently have two of each, with the obtuse angles adjoining the shorter parallel side and the acute angles adjoining the longer. However, it is possible for a trapezoid to have exactly two right angles if they adjoin the same non-parallel side. If a four-sided figure has four right angles, it is a rectangle, not a trapezoid.

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What is the first topic you should learn in math?

Once students learn how to count, they can begin to group objects by quantity. In doing so, they learn to combine groups of objects, which introduces them to the concept of addition. They also learn to remove objects from groups, which introduces them to the concept of subtraction. Without first understanding the names of numbers and how to count them, however, students are unable to fully grasp the foundational concepts of addition and subtraction.

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