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What are math facts for kids?

Students who have the appropriate level of math fact fluency can typically recall and apply the correct multiplication, division, addition or subtraction rule in about 2 seconds. A common measurement of a student's math fact fluency is the number of correct calculations that can be performed per minute using each of the four basic categories. Students who can understand, recall and apply the basic math facts are able to progress to the more demanding calculations, such as determining the product of 1,758 multiplied by 54, or finding the quotient when 5,267 is divided by 384.Proficiency in..

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What is a solution set?

Solution sets are given in ordered pairs with x and y values. To find a solution set, the equation is solved for y. An ordered pair is written as (x,y). The ordered pairs are then used to graph the equation. A graph consists of two axes, x and y. The x axis runs horizontally, while the y axis is vertical.\nWhen the equation involves an inequality, the solution set is often on an infinite level.

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What are linear and exponential functions?

Linear functions are used in economics and business to calculate expenditures, revenues and profits. For example, the overall profit can be expressed as a linear equation based upon the revenue minus the cost of units sold. For example, consider a bookstore that spent $2 per book to stock the item and sold the book for $5. The linear equation for the bookstore's profit would be "y=5x-2z," where y is the total profit, x is the total number of units sold and z is the total number of units bought.\nExponential functions change more rapidly than linear functions. Instead of a gradual rate, ev..

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What does a negative number in parentheses next to an exponent not in parenthesis mean?

Parentheses are used in mathematics for grouping terms in specific ways. For example, if the negative sign is not included inside the parentheses, -(3^2), the answer is -9. If parentheses are absent, a problem written in the form -x^2 should be read as -(x^2). Raising a negative number to an even-numbered exponent always yields a positive answer, but raising a negative number to an odd-numbered exponent yields a negative answer. For example, (-4)^3 is the same as (-4) x (-4) x (-4), which equals -64.

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What shape has seven sides?

While all interior angles in a regular heptagon are equal to approximately 128.6 degrees, the exterior angles are equal to 51.4 degrees. The sum of its interior angles is 900 degrees. The formula to find the sum of interior angles of a polygon is 180 (n-2) degrees, where n represents the number of sides of a polygon.\nThe area of a regular heptagon can be approximated with the formula: Area = 3.633 multiplied by s^2, where s^2 represents the side length squared.

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What is altitude in geometry?

There are three theorems that are concerned with heights in geometry. The first one states that the lines containing the altitudes always intersect at a point. The second theorem asserts that an altitude splits a right angle triangle into two similar triangles if one draws it from the right angle to the hypotenuse. The last states that comparable triangles have altitudes whose lengths are equal to the corresponding sides of the similar triangle. A triangle has three altitudes that are concurrent and intersect at the orthocenter.

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What is a 25-sided polygon called?

For instance, "icosi" is the tens digit, which means "20." "Kai" is essentially a conjunction, as it is the Greek word for "and." "Penta" represents the ones digit, meaning "five," and "gon" is added to every polygon to distinguish it as a name for a shape.\nNames can be constructed for polygons with even more sides. For instance, a polygon with 743 sides begins with the ones digit "hepta" for seven, followed by "hecta" to indicate "100." "Tetraconta" is for "40," followed by "kai." "Tri" is for "three," and "gon" is added to the end for the shape's name. Therefore, a polygon with 743 sid..

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How do you find the center of mass with calculus?

Determine the area of the given curveFirst, find the area of the given curve. This can be done by evaluating the integral: A = |_(a..b) f(x) dx. If the area is between two curves, the area is found by evaluating the integral: A = |_(a..b) (f(x) - g(x)) dx. Find the moments about x and yTo find the moment about x, use the integral: M_x = |_(a..b) ((1/2) * (f(x))^2) dx. The equation for finding the moment about y is: M_y = |_(a..b) (x * f(x)) dx. If the area is between two curves, the moments about x and y are found with the following equations: M_x = |_(a..b) ((1/2) * ((f(x))^2 - (g(x))^2)) dx..

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What are some examples of pre-algebra word problems?

Another example is found in the following word problem: George and his friends went to a football game at the university. Each normal ticket costs $6.50; however, because George and his friends are students, each was given a $1.75 discount. The group paid a total of $33.25. How many people total were in George's group?\nAnother example follows: Maurice wants to fly to France, but he needs to save $1,800 to purchase airfare. He is able to save $90 each week and currently has $360. To learn how many more weeks (w) it will take Maurice to save enough money, solve 360 + 90w = 1,800.\nAlso, Sa..

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How do you solve for the perimeter of an isosceles triangle?

Determine the length of the lateral sides of the triangleAn isosceles triangle has at least two equal sides. These sides are called "lateral sides." Measure the length of a lateral side using a ruler or tape measure.Multiply the lateral side length by 2Since there are two lateral sides, determine the sum of the lateral sides by multiplying the length of one lateral side by 2.Determine the length of the base sideMeasure the length of the base side of the triangle using a ruler or a tape measure. The base side is the side of the triangle with a length that is not equal to the other sides' l..

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