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What is "Pre-Algebra with Pizzazz?"

The idea behind "Pre-Algebra with Pizzazz" is to elucidate math concepts using fun and interesting facets of arithmetic. The book series takes into account everyday uses for algebra and makes them relevant to students. Distances, volumes of objects and building calculations are just part of what children learn.\nSteve and Janis Marcy, the designers of "Pre-Algebra with Pizzazz," are both educators by trade. Steve Marcy earned a Ph.D. in educational psychology from UCLA in 1976. Janis Marcy began teaching math in elementary school before moving up to the high school level throughout the 1970s. ..

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How do you make a Venn diagram?

A Venn diagram is useful to determine what the relationship between sets of objects might be: for example, a Venn diagram comparing prime numbers and odd numbers between one and 10 would have significant overlap, since one, three, five and seven are both prime and odd, while the prime circle would only contain two and the odd circle would only contain nine. Using this Venn diagram, someone would then be able to determine that most odd numbers between one and 10 are also prime.\nAdding a third circle to a Venn diagram allows for even greater specificity when determining properties: a third circ..

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What are expanding logarithms?

Logarithmic expressions that contain multiplied terms are expanded by splitting the expression into the logarithms for each individual term added together. For instance, the log of a times b equals the log of a plus the log of b. When terms in a logarithmic expression are divided, expanding the expression requires subtracting the logs of the terms. The log of a divided by b equals the log of a minus the log of b. Finally, the logarithm of a number raised to an exponent equals the exponent times the log of the original number. Many logarithmic expressions involve combinations of terms, and a se..

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What is the significance of the orthocenter of a triangle?

The altitude of a triangle is a line segment drawn from the vertex of a triangle and perpendicular to the opposite side of the triangle. In a right-angled triangle, the vertex forming the right angle is the orthocenter of the triangle. If the triangle has one angle greater than 90 degrees, the orthocenter lies outside the triangle. If all three angles of a triangle are less than 90 degrees, the orthocenter lies inside the triangle.

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How much standing water is in a 1-foot-long section of 6-inch pipe?

The mathematical formula for the volume of a cylinder is volume (V) = pi x radius^2 x height. In this specific example, using feet as the units, that would become the equation V = pi x .25ft^2 x 1ft, or 0.2 cubic foot / ~1.5 gallons. While that is the total volume of the pipe, it does not necessarily mean that there is water filling the entire internal capacity.

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What is 10 to the 12th power?

The exponent of a number tells you how many times to multiply that number by itself. For example, 10 to the fourth power is 10 x 10 x 10 x 10, or 10000. An easy method of working out problems regarding powers of 10 is simply to see the power and add the same number of zeros to the end of 1. Ten to the power of 4 means that four zeros should be added after the number 1. Ten to the power of 12 means that 12 zeros should be added after 1.

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What are the factors of 96?

The factors of a number like 96 can be most easily found through division. Each number (or divisor) divided by 96 that creates an integer quotient is a factor of 96, as is the quotient.\n96/1 = 96, so 1 and 96 are factors;\n96/2 = 48, so 2 and 48 are factors;\n96/3 = 32, so 3 and 32 are factors;\n96/4 = 24, so 4 and 24 are factors;\n94/6 = 16, so 6 and 16 are factors;\n94/8 = 12, so 8 and 12 are factors.\nThe other numbers in between 1 and 12 (5, 7, 9, 10, 11) could not be perfectly divided. There is no need to test number 12 and above.\nPrime factorization splits a number into its prime numbe..

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What is two-thirds as a decimal and a percent?

To convert the decimal to the percentage, multiply the decimal by 100 and add a percentage sign. The easiest way to do this is to move the decimal point 2 places to the right. Doing so converts 0.667 to 66.7%.\nOther common fraction to decimal and percentage conversions include one-fourth to 0.25 and 25%, one-third to 0.333 and 33.3% and one-half to 0.50 and 50%.

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What are some common Pythagorean triples?

By the Pythagorean theorem, all Pythagorean triples must obey the equation a² + b² = c², which is geometrically represented as a right triangle with the shorter legs a and b and the longer hypotenuse c. For any Pythagorean triple, the product of the legs is always divisible by 12 and the product of all three sides is divisible by 60. There has been no proof excluding the possibility that two distinct triples may have the same product. Specific Diophantine equations are solved to generate Pythagorean triples.

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How do you use distributive property to solve word problems?

Find numbers, operations and relationshipsRead the word problem. Look for any numbers and how they relate to each other. Find comparative phrases, such as "3 more than" or "15% less than," to determine the operation that creates the relationship. Write these relationships as equations.\n\nFor example, a word problem might say that a father purchased five ice cream cones for a total of $32, four of which were served with a second scoop that cost $3 more than the regular price he paid for the fifth. The number 32 is the total and is made up of a combination of one cone at regular price and four ..

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