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What is a factor pair in math?

The first positive prime number with a factor pair of only 1 and itself is 2. The number 1 is not considered a prime number, despite the fact that it could be interpreted as having the same property. Above 2, all prime numbers are odd. Every even number is divisible by 2 and half its value, and so each has at least two factor pairs. If negative numbers are included in the factorization, the number of factor pairs is doubled. Take for example that 2 also has the factor pair of -2 and -1.\nNote that only integers, numbers that are whole number multiples of 1 or -1, have factor pairs. Other numbe..

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What is 0.5 as a fraction?

To change a decimal into a fraction, the decimal is placed over 1. Then, both the numerator and denominator are multiplied by a factor of 10 depending on how many digits are after the decimal point.In the case of 0.5, there is one digit after the decimal, so it is only necessary to multiply by 10. When the numerator and denominator of the fraction 0.5/1 are multiplied by 10, it gives the fraction 5/10, which can be simplified. The number 5 goes into 10 twice. Dividing the numerator and denominator by 5 gives one-half.The same result is given by reading 0.5 as 5/10, since the five is in the 10&..

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What are some examples of a pentagon?

A pentagon is a five-sided shape. If the sides are all the same length, the internal angles will be the same size as well, and the shape is called a regular pentagon. Any other pentagon with sides of varying length is an irregular pentagon. Despite having just one more side than a square, pentagons are used and seen much less frequently in real life.

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How do you use a unit circle with tangent chart?

The unit circle has a radius of 1, sin 30 = 1/2 and cos 30 = (√3)/2; thus, tan 30 = (1/2)/ (√3)/2 or √3/3. Tan 45 = ((√2)/2)/ ((√2)/2) or 1 and tan 60 = (√3)/2/ 1/2 or √3. While cos 90 = 0 and sin 90 = 1 tan 90 is unknown.\nIn trigonometry, the size of the angle theta is most important.

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What is the definition of "linear function"?

The linear function form is y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x, and the dependent variable is y. The a is the constant term or the y intercept. It is the value of the dependent variable when x = 0. The b is the coefficient of the independent variable. The b is also known as the slope and gives the rate of change of the dependent variable.

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What is an interval on a graph?

The interval begins at any number that makes sense for representing the data on the graph. The size of the interval affects the visual impact of the graph. Using different intervals can make the same information appear different when applied to a graph. A large interval results in a short and wide graph, whereas a small interval produces a tall graph.

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How do you simplify fractions with exponents?

Simplify all terms with negative exponentsRather than creating complex fractions in the factoring process, it is better to simplify any negative exponent first. Remember that x^-n = 1/x^n. Similarly, 1/x^-n = x^n. Find any term with a negative exponent and use these identities. Verify all exponents are positive when complete.Factor all constants and combine like termsOnce constants are factored, determine how to simplify the constant terms by factoring into prime multiples. As an example, 48 = 2 x 2 x 2 x 2 x 3 = 2^4 x 3. Variables should be in the same order in the numerator as they are in t..

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What is a vertex form converter?

To use a vertex form converter, students must first be able to recognize the coefficients a, b and c of the standard-form quadratic equation that is to be converted. These are the numbers that precede the square of x, x itself and the unaffiliated coefficient, respectively. Next plug these coefficients into the converter in their respective order. Misplacing the order of the coefficients in the converter yields a completely different vertex form, so it is important that students pay attention to what they are entering and where.\nAfter the three coefficients have been entered, the student has ..

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In math, what does the term "regrouping" mean?

For example, in the math equation 18 subtracted from 446 or 446-18, a number is borrowed from the tens column and transferred to the ones column. The regrouping helps complete subtraction in the equation. An example of regrouping for addition, or carrying, would be 19+3. To complete the equation, the “1” must be carried from the ones place to the tens place. In both examples, regrouping occurred because a number was moved from one column to the next.

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What are some examples of math expressions?

Mathematical expressions can be made up of variables, constants or a mix of both, but they must always represent values. The symbols in an expression are joined together by mathematical operations such as multiplication or division.\nAlthough the term is associated strongly with algebra, children are taught mathematical expressions from the moment they are handed worksheets containing the simple expression "2 + 2."\nEquations and inequalities are special mathematical statements that compare expressions. For example, while "2 + 2" is an expression, "2 + 2 = 4" is an equation.

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