Basic Math Review 2

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What is the least common multiple (LCM)?

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The least common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers. For example, the LCM of 6 and 9 is 18.

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What is the greatest common factor (GCF)?

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The greatest common factor (GCF) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder. For example, the GCF of 7 and 11 is 1.

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What is percent markup?

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Percent markup is the percentage increase from the cost price to the selling price. It is calculated using the formula: Percent Markup = ((Selling Price - Cost Price) / Cost Price) * 100. For example, if a love seat costs $300 and sells for $450, the percent markup is 50%.

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How do you calculate total cost including sales tax?

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To calculate the total cost including sales tax, first find the total price of the items, then multiply by the sales tax rate (expressed as a decimal) and add it to the total price. For example, if the total price is $120 and the sales tax is 7%, the total cost is $120 + ($120 * 0.07) = $128.

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What is the formula for finding the least common multiple (LCM) using prime factorization?

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To find the LCM using prime factorization, factor each number into its prime factors, then take the highest power of each prime factor present in any of the numbers. Multiply these together to get the LCM.

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What is the formula for finding the greatest common factor (GCF) using prime factorization?

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To find the GCF using prime factorization, factor each number into its prime factors, then take the lowest power of each prime factor present in all the numbers. Multiply these together to get the GCF.

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What is the relationship between LCM and GCF?

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The relationship between LCM and GCF of two numbers can be expressed as: LCM(a, b) * GCF(a, b) = a * b. This means that the product of the LCM and GCF of two numbers equals the product of the numbers themselves.

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What is the rule for multiplying powers with the same base?

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What is the rule for dividing powers with the same base?

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