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What are some tips for teaching exponents?

Critical to a strong understanding of exponents is the idea that exponentiation refers to repeated multiplication. When a number a is raised to the b power, one is multiplying a by itself b times. For instance, 5 raised to the third power is 5 times 5 times 5 or 125. Relating abstract mathematical ideas to this key fact is a helpful way to ensure students are able to understand and work with exponents.\nConsider giving examples of each exponentiation rule separately. For the product rule, show how a number raised to a certain power times the same number raised to a different power is equivalen..

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How can you use a simple online calculator to solve a calculus problem?

Depending on the level of the calculus problem being posed, online calculators like Wolfram Alpha or the Mathscoop Calculus Calculator Online can be used to perform calculations. For high school or early undergraduate problems, these online calculators work well.\nFor higher level problems, online calculators have more limited usefulness. Some problems, such as integration, differentiation or solving simple differential equations, are easy to state but tedious to work out by hand. Online calculators can be helpful in dealing with these. Others, such as boundary value problems, can be simplifie..

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What is a diamond problem solver?

For example, an algebraic problem that has a Y that holds a value of 5 and an X that holds a value of 2, the top of the diamond will have a number 10 while the bottom of the diamond will have a number seven.

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What is the property of the opposite of a sum?

A simple example of this property in action could use the real numbers one and two, where a=1 and b=2. When a is added to b, the sum of the two numbers is three. The opposite of this sum is negative three.\n\nUsing the other side of the property,students can make a and b into their opposites, which would be negative one and negative two. When these two negative numbers are added together, the sum is negative three.\n\nIn both instances, the final result is negative three. This shows that the opposite of the sum of two real numbers will be the same as adding together the opposites of two real n..

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Who invented the number zero?

Brahmagupta was the first person to formalize arithmetic operations using zero. He placed dots under numbers to represent zero, calling them "sunya," which means empty, or 'kha," which means place. He also wrote the standard rules for reaching zero through addition and subtraction, as well as the results of any operations with zero. It would take until 879 A.D. for the number zero to make it to Europe and become the oval shape used today.

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What is the median of 6, 7, 4, 8, 12, 2, 1 and 2 ?

To find the median of the set of numbers, the numbers must be rearranged from smallest to greatest. Rewriting 6, 7, 4, 8, 12, 2, 1 and 2 in order from smallest to greatest yields 1, 2, 2, 4, 6, 7, 8 and 12. The two middle values of this data set are 6 and 4. The average of those numbers is 5.

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What is the importance of mathematics in everyday life?

According to science.edu, everything you perceive in the natural and man-made world, is measured and explained by math. Go and count the trees on your street or estimate in your head how much money you need to save for a vacation. While cooking in the kitchen, you may need to double a recipe. Counting is math.\nThe next time you are outside, take note of the Fibonacci Sequence found on every pine cone or sunflower. Patterns are often defined by mathematics. When you play a game, your left-brain is tapping into your skills of logical reasoning to help you enhance your score or win. Math is pure..

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If the diameter of a Frisbee is 12 inches, what is the area of the Frisbee?

The radius of a circle is always equal to half the diameter, so the radius of a 12-inch Frisbee is 6 inches. To find its square, multiply the radius by itself (6 x 6) to get 36. For pi, use the approximation 3.14. Multiply that by the square of the radius and get: 3.14 x 36 = 113.04, which, rounded to the nearest significant digit, comes out to 113 square inches.

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How do you find the average of a group of numbers?

Suppose a student has made the following test scores: 95, 88, 75, 93 and 90. To find the average, first add the five scores together. The sum is 441. Next divide 441 by 5 to get the average, which is 88.2.\nThough less commonly used than the arithmetic mean, other types of averages are sometimes calculated. Two such averages are the median, which involves finding the middle number of a set of values arranged in ascending order, and the mode, which is the value which occurs most often in a list.

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How do you multiply polynomials?

Determine the polynomials you are going to be multiplyingGather the polynomials you will be multiplying, and put them side by side. Put each polynomial in between a set of parenthesis.Multiply the first termsMultiply the first term of both parenthesis.Multiply the outer termsMultiply the first term of the first parenthesis by the second term of the second parenthesis.Multiply the inner termsMultiply the second term of the first parenthesis by the first term of the second parenthesis.Multiply the last termsMultiply the second term of the first parenthesis by the second term of the second parent..

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