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Why is it useful to be able to estimate quotients?

A quotient is the whole number found through the division of two numbers, such as 9 divided by 2. Using mental math, the quotient of 9/2 is 4 and the remainder is 1. Although this is a simple division problem, there can be more complex division problems that involve decimal numbers, such as 12.37 divided by 3.46. Through the use of compatible numbers and mental math, an estimate for this division problem is 4. Through long division, the answer is 3.57514451 that when rounded up to the nearest whole number is 4.The method utilized to estimate a quotient is to use compatible numbers for the divi..

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What is a coordinate proof?

A coordinate proof of the triangle mid-segment theorem, for example, implies that the segment connecting the midpoints of the two sides of a triangle is parallel to the third side and precisely half the length. Where there is no loss of generality, it is assumed that one side of the triangle lies on the X axis with one vertex (0, 0) and the other vertex at (a, 0).

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What is Regents Exam Prep for algebra and trigonometry ?

Regents Exams are administered to students by the New York State Education Department through the Office of State Assessment. The exams assess knowledge in the subject areas of English, social studies, math and science. These tests are designed to be in alignment with the standards set forth by the State of New York. High school students in charter, private and public schools are required to take the exams.

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What do error bars show within treatments?

Two common types of error bars exist: inferential and descriptive. Inferential error bars measure the mean of the variables presented as well as a range of values that, if calculated correctly, enable an individual to determine the true mean of the equation. Descriptive error bars show how data is spread as well as the average difference between the data points and their mean, usually displaying the lowest and highest values.

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What are the different types of free online calculators?

Calculator.net offers a number of specialized calculators. In the financial category, the website has calculators to compute mortgages, retirement savings, income tax planning and take-home pay. The site also has calculators to aid in weight loss by helping dieters determine their body mass index, track their caloric intake and figure Weight Watchers point values for various foods. The website has a few unusual calculators as well, including an ovulation calculator, a British thermal unit calculator to estimate the amount of BTUs required to heat or cool a home, and a bra-size calculator.\nThe..

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How many zeros are in a million?

One thousand has three zeros, 10 thousand has four and 100 thousand has five. These numbers are written exponentially as 10^3, 10^4 and 10^5 respectively. One billion has nine zeros and is written as 10^9. The exponent following the 10 each time represents the number of zeros at the end of the number itself. Other larger numbers include a trillion with 12 zeros, quadrillion with 15 zeros, quintillion with 18 zeros and sextillion with 21 zeros.

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How many diagonals does a pentagon have?

The number of possible diagonal lines in a polygon is proportional to the number of sides on the shape. The higher the number of sides, the more diagonals the shape will have. When diagonals are drawn in from only one vertex, the diagonal divides a polygon into triangles, which makes it easy to calculate using interior angles using trigonometry. It's important to note that diagonals are not possible in a triangle.

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How much is one score?

The early use of the word refers back to a time when scratches, or marks, were made when counting large quantities of items. The person counting would notch a stick or board for each unit of 20 to facilitate adding final sums. The same tally system was later used in pubs to keep track of tabs for customers.\nThe term "score" can be used as a suffix with another whole number to mark a multiple of 20. The expression "threescore years" was used several times in the King James translation of the Bible in connection with character ages of 60 years or more. Shakespeare uses the words "threescore and..

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How can you teach children with a 1 to 100 times table chart?

For the times table, an important strategy to teach is skip counting. For example, when working with the two times table (2, 4, 6, 8, 10, 12, 14, 16, 18 and 20), explain that children can use skip counting by two to find the products from 2 x 1 = 2 to 2 x 2 = 4 and successive multiplications by 2 down or across columns. Similarly, skip counting can be used for the other times tables.Another times tables strategy is to show that the intersection of a specific row and column gives the product of the multiplication of these two numbers. To find 5 x 4, go down to where the 5 is located at the tabl..

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How do you construct parallel lines?

Determine two points on a given line.Find two separate points in the (x,y) form on a given line. Call these two points (x1, y1) and (x2, y2).Calculate the slope of the given line.Using the two points previously found, calculate the slope of the given line using the formula (x1 - x2) / (y1 - y2). Simplify the result as much as possible. For example, 4/2 should be simplified to 2.Plug the slope into a new line.To construct a parallel line, a new line must be derived that has the exact same slope as the given line. Start by writing the standard form for a line, y = mx + b. Plug the calculated sl..

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