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What are the advantages of using the Hindu-Arabic number system?

In a place-value number system, numbers can be placed in columns for easy addition, subtraction and multiplication. The same basic operation is performed on each column, using zero as a placeholder. For example, to multiply 14 by 53, 3 is multiplied by 4 and then 1 in the tens column, resulting in 12 + 30, or 42; 5 in the tens column is multiplied by 4 to yield 20 in the tens column, or 200, and multiplied by 1 in the tens column to result in 5 in the hundreds column. The two numbers are then added to result in 742.\nThe advantages of the Hindu-Arabic number system are most apparent when compa..

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What is a flow proof in geometry?

The flowchart structure of this type of proof is quite similar to the diagrams that computer programmers often use when putting together their lines of code. Flow proofs work well for geometric as well as algebraic proofs, making the steps and their rationales easier for one's audience to understand.\nThe two-column proof is the traditional one used in high school geometry books, and it is also known as the ledger proof or the T-form proof. The shape, givens and task appear at the top of the page, but the columns "Statements" and "Reasons" take the reader through the proof step by step.\n..

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How do you find the percentage?

Determine the percentage of the number you wish to identifyFor example, Mike may want to gauge his savings by calculating 15 percent of 50 and also determine how much he saves on a $250 bicycle discounted at a rate of 30 percent. Convert the percentage to its decimal formTo convert the percentages to decimal form, move the decimal two places to the left. In these instances, 15 percent appears as ".15", while 30 percent appears as ".30" Multiply the decimal by the original valueThe product of 50 and .15 is 7.5. Likewise the product of 250 and .30 is 75. Therefore, 15 percent of 50 is exactly 7...

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How do you simplify imaginary numbers?

For division problems, imaginary numbers are simplified by clearing the denominator by multiplying the expression by the conjugate of the denominator over itself, which is the same as multiplying by one and does not change the value of the expression. For example, in the problem (2 + i)/(3 + 4i) is simplified by multiplying it by (3 - 4i)/(3 - 4i), which results in the simplified fraction (10 - i)/25.\nAny time i is taken to an odd exponent, it is equal to either i or -i. When taken to an even exponent, i is always equal to -1. When i is expressed to the power of zero, it is equal to 1. In the..

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What are some tips for learning multiplication tables?

Students can memorize all multiplication tables through the use of Skip Counting, wherein the user determines the numbers that they should skip. For example, if the problem was 2 x 2, the first number indicates that the user should count every second number, while the second indicates that he should repeat the counting twice. When looking at numbers in sequence, apply the Skip Counting method to arrive at the answer that 2 x 2 is 4.\nThe Doubling method helps students to concentrate on learning the two-fact family. To obtain the answer, double the number that is to be multiplied by 2. For the ..

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Why is the symbol Z used to indicate integers?

The book was written by a French collective of mathematicians known by the pseudonym N. Bourbaki or Nicolas Bourbaki. Their work became known as the standard reference in the field of mathematics and their use of the symbol N became an accepted method of denoting integers. A double struck capital letter I is sometimes also used to denote the ring of integers.

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What sport has the most deaths?

Other sports that cause a lot of fatalities include boxing, horseback riding, base jumping and rock climbing. Boxing kills about nine people per year, about 128 out of every 100,000 participants die horseback riding, and base jumping kills approximately six people per year. The most dangerous year for rock climbers was 2000 when 24 climbers died.

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What is a linear inequality equation?

Solving linear inequalities is similar to solving linear equations. If the linear inequality equation is "x + 4 < 0," it can be treated similarly as if the equation was "x + 4 = 0." It is possible to simply subtract 4 from both sides of the equation, which would give the answer "x < -4."

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Where can you find a table of Roman numerals?

The site also provides a list of years by Roman numeral and a calculator to quickly determine the Roman numeral for a number not listed.\nRoman-Numerals.org provides a chart of the first 100 Roman numerals and offers a calculator for Roman numerals higher than 100. The website also provides games, worksheets and quizzes to reinforce the understanding of converting numbers to Roman numerals.

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How do you solve one-step equations?

Perform the opposite operation to the get the variable by itselfFor example, if the equation is x + 3 = 7, add -3 to x + 3 to cancel out the 3 on that side of the equation.Perform the same operation on the other side of the equationAdd -3 to the other side of the equation so the equation reads as x = 7 - 3.Solve the equationSimplify the equation to x = 4 to solve it.

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