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What is the process for estimating answers using compatible numbers?

Compatible number estimation problems can be rephrased by asking what number is needed to pair with a given number in order to produce an identified product. Study Zone gives the example of 46 ÷ 6. Rephrase that problem to ask what number, when multiplied by 6, comes closest to 46. By examining the multiplication tables, it is clear that 6 x 8 is 48. Therefore, 46 ÷ 6 is about 8.\nAnother strategy to using compatible number estimation is to identify the soonest place into which a number can be divided. Study Zone provides the example of 312 ÷ 5. Break 312 down to the hundreds, tens, and one..

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What is the definition of "obtuse triangle"?

Since the sum of the angles of a triangle is always 180 degrees, no triangle can have more than one obtuse angle. Any obtuse angle between 90 and 178 degrees is possible. A 178-degree angle would product an obtuse isosceles triangle with two acute angles of 1 degree each. The word "obtuse," also used to refer to a slow-witted or insensitive person, derives from the Latin word "obtusus," meaning dulled or blunt.

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What are the factors of 90?

When determining the factors of a number, it is often necessary to first divide the number by two, then subsequently by increasing the divisor by a value of one until the original number is reached. The factors are any whole numbers that come from this process. If the number ends in zero, then the number has factors of two, five and ten. If the number ends in five, it has a factor of five. If the number is even, then two is a factor. If the number ends in two zeros, then 100 is a factor.

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Is 27 a prime number?

The way to determine whether a number is prime or composite is to determine its factors. Factors are numbers that are evenly divisible into a number. If the number can be evenly divided by numbers other than 1 and itself, then it is not prime.To find the factors for the number 27, a person would determine which numbers from 1 to 27 divide evenly into the number. For example, 27 can be divided by 1 to get 27, and 27 can be divided by 9 evenly three times. Therefore, the factors of 27 are 1, 3, 9 and 27, so it cannot be prime.

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What is the square root of 61?

Square roots are represented by a special symbol called a radical. This symbol looks like a check mark. A square root equation is written like this: ?16=4.\nSquares of whole numbers are called perfect squares. For example: ?1=1, ?4=2 and ?9=3.\nSquare roots are useful when you need to calculate area. A real-life example is calculating how much carpet is needed for a room. If the room is 100 square feet (?100=10), you buy a piece of carpet that is 10 feet wide and 10 feet long.

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How do you ace calculus?

Dr. Cal Newport, a computer professor at Georgetown University, advises that calculus students develop insight into calculus concepts for them to pass the unit. He cautions students against just reproducing the class notes and textbook examples and formulas and encourages them to develop a deep understanding of the concepts.\nTo develop insight, students must ask questions when they get lost in class. They need to ask for clarification from the professor immediately after class and review their notes as soon as possible to cement their insight while the material is fresh in their minds. Newpor..

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What are the rules that govern rounding of whole numbers?

If this number is less than 5, then the rounding digit stays the same and numbers to the right of it becomezeros. An example of using this rule is to round the whole number 547 to the nearest ten. Identifying the rounding digit in thetens place valuegives the number 4. The number that is to the right of 4 is 7, which is greater than 5. Following the rule, the rounding digit 4 increases to 5 and the numbers to the right of it become zeros. This gives the answer as 550.

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What is 9/16 as a decimal?

To find the decimal form, first change the bottom number, 16, into the closest multiple of 10, which is 100. Next, determine the number used to multiply the original number of 16 by to arrive at the new denominator of 100. The answer is 6.25. Then take that number and multiply it by the top number, 9, for a total of 56.25. Last, move the decimal in 56.25 to the left according to the number of zeros in the bottom number, 100, which is two. Once the decimal is moved to the left twice, the final answer is 0.5625.

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Is 63 a prime number?

Numbers are identified as either prime or composite numbers, with the exception of one. To be classified as a prime number, a number must be greater than one and only divisible by one and itself.\nSixty-three, however, is not a prime number. It is divisible by the following multiple numbers: 1, 3, 9, 7 and 21.\nAll composite numbers, like 63, have prime divisors. The prime divisors of 63 are 3 and 7.

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What are some methods for teaching students how to round numbers?

Rounding a number simplifies the value so that it becomes easier to manipulate. The first step is to determine which digit to round and then examine the digit that follows that number. For example, when rounding 74 to the tens place, it is necessary to examine the four to determine the proper rounded value of the seven.\nThe common rule for rounding is that digit values four and below keep the previous digit at the same value, while digits five and above round the previous digit to one value higher. The digit place used to determine this proper rounding is then replaced by zeros. For example, ..

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