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What is a unit fraction?

Unit fractions are the reciprocals of positive integers. For example, the reciprocal of two is the unit fraction one-half.\nUnit fractions, when added, result in a fractional sum with a numerator that is the sum of the denominators of the factors and a denominator that is the product of the denominators of the factors. For example, the sum of one-third and one-fourth is seven-twelfths; the numerator is three plus four, while the denominator is three times four.

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What formula is used to find the diameter of a circle?

A circle is a two-dimensional geometric figure where all points are equidistant from the center. It is characterized by its radius, diameter, circumference and area. Radius measures the length of the line from the center point to the edge. A diameter pertains to the distance between two points on the circle connected by a line passing through the center point. The circumference measures the length of the rounded perimeter of the circle while area refers to the enclosed region within the circle.A diameter is bisected into two radii by its midpoint, thus it can be computed by multiplying the rad..

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What are some basic properties of arithmetic?

Arithmetic establishes the foundation for the mathematical sciences and includes elementary concepts such as counting, rounding, whole number representation and the significance of place values to more advanced studies such as rational numbers, algebra, trigonometry and calculus.\nCommonly known as the acronym PEMDAS, the rule of order of operations states that an equation is to be solved in the following order: the operations in parentheses first, followed by exponential components, multiplication and division elements, and finally the addition and subtraction elements.

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What does 'y 2x 1" mean?

In the equation y = 2x + 1, the number 2 in front of the x is the slope of the line. The slope means that when the value of x increases by one, the value of y increases by two. The constant number 1 at the end of the equation is called the y-intercept, which is the value of y when the value of x is zero.

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How do you calculate magnitude and direction?

Figure out your unitsVectors are represented by arrows of a particular length pointing in a particular direction. Even if you know the formulas, you won't be able to measure magnitude or direction unless you know the units. The magnitude of the vector is the length, but the length might represent miles per hour, meters per second, and so on. For direction, vectors are often expressed in terms of degrees from 0, although sometimes they are given based on cardinal directions or the slope of the line created on an x-y plot.Calculate the magnitudeSometimes you can measure the magnitude with a..

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Why do we study geometry?

Since geometry deals with space and shapes, it is easy to see why it has many applications in the life of an average person as opposed to algebra or calculus, which are typically only used by those going into math-related fields.\nOne reason geometry is studied is to improve visual ability. Most people think in terms of shapes and sizes, and understanding geometry helps improve reasoning in this area.\nThe ability to think in three-dimensional terms is another reason to study geometry. The idea behind two and three dimensions as they relate to shapes is something derived from the study of geom..

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How do you find the missing numerator or denominator?

Ratio problems are solved by setting the two fractions equal to one another. After that, the fractions are cross-multiplied and the variable isolated. For example, in 2/3=x/6, the cross-multiplication gives 12=3x. The variable is then isolated by dividing both sides by 3 to get x=4.

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How many different combinations can be made in a five digit number?

A five-digit number has five different place settings which can take on various values. The first digit can take on nine values, from 1 to 9. For the second through fifth digits any number between 0 and 9 can be used. To find the total number of combinations, these values are then multiplied together: 9 x 10 x 10 x 10 x 10 = 90,000 total combinations.

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Why is one not a prime number?

A number can either be a prime or a composite number. A composite number has more factors than one and itself. An example of a composite number is 12, which has the factors one, two, three, four, six and 12. An example of a prime number is 11, which has no other factors than one and 11.

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What are all prime numbers that are less than 100?

Since every even number can be divided by 2, in addition to itself and 1, even numbers are not prime numbers. The exception to this is 2, which can only be divided evenly by 1 and 2. The prime factorization of a number is a term used to describe a list of prime numbers that, when multiplied, results in the number. For example, the prime factorization of 18 is 2x3x3.

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