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Questions and Answers
What is the relationship between a percentage and a fraction?
What is the relationship between a percentage and a fraction?
A percentage can be rewritten as a fraction with 50 as the bottom number.
A percentage can be rewritten as a fraction with 50 as the bottom number.
False
What are the three types of percent problems?
What are the three types of percent problems?
Type 1: Finding a percent of a number, Type 2: Finding the percent of a part, Type 3: Finding the total
The part represents the ______________________ number of the fraction.
The part represents the ______________________ number of the fraction.
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Match the percent problem type with its description:
Match the percent problem type with its description:
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What is the first step in the Order of Operations?
What is the first step in the Order of Operations?
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Exponents should be evaluated before operations in parentheses and brackets.
Exponents should be evaluated before operations in parentheses and brackets.
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What is the purpose of the Order of Operations?
What is the purpose of the Order of Operations?
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Multiplication and division operations should be evaluated from ______________________ to right.
Multiplication and division operations should be evaluated from ______________________ to right.
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What is the role of parentheses and brackets in math problems?
What is the role of parentheses and brackets in math problems?
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Addition and subtraction should be evaluated before multiplication and division.
Addition and subtraction should be evaluated before multiplication and division.
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What do exponents represent in math?
What do exponents represent in math?
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Match the step in the Order of Operations with its description:
Match the step in the Order of Operations with its description:
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Study Notes
Percentages and Equivalent Fractions
- A percentage is a relationship between 4 numbers, but the fourth number is always 100, which is the bottom number of the equivalent fraction.
- A percentage can be rewritten as a fraction with 100 as the bottom number, e.g. 10 is 20% of 50 can be rewritten as 10/50 = 20/100.
Components of a Percent Problem
- Part: the top number of the fraction (the part we have)
- Total: the bottom number of the fraction (the total)
- Percent: the number in front of the percent sign (the percentage)
Types of Percent Problems
- Type 1: Finding a percent of a number (e.g. what is 20% of 50?)
- Type 2: Finding the percent of a part (e.g. 10 is what percent of 50?)
- Type 3: Finding the total (e.g. 10 is 20% of what?)
Finding the Percent
- Method 1: Convert the fraction to an equivalent fraction with 100 as the bottom number (e.g. 35/50 = 70/100 = 70%)
- Method 2: Divide the part by the total to get the decimal value, then move the decimal point two places to the right to get the percent (e.g. 28 ÷ 80 = 0.35 = 35%)
Percentages and Equivalent Fractions
- A percentage is a relationship between 4 numbers, with 100 as the bottom number of the equivalent fraction.
- Percentages can be rewritten as fractions with 100 as the denominator.
Components of a Percent Problem
- The part is the top number of the fraction, representing the quantity we have.
- The total is the bottom number of the fraction, representing the whole.
- The percent is the number in front of the percent sign, indicating the percentage.
Types of Percent Problems
- Type 1: Finding a percentage of a number (e.g., what is 20% of 50?).
- Type 2: Finding the percentage of a part (e.g., 10 is what percent of 50?).
- Type 3: Finding the total (e.g., 10 is 20% of what?).
Finding the Percent
- Method 1: Convert the fraction to an equivalent fraction with 100 as the denominator.
- Method 2: Divide the part by the total to get the decimal value, then move the decimal point two places to the right to get the percent.
Order of Operations
- A set of rules to ensure consistent math problem solving, preventing multiple answers
- Four rules to follow in this order to avoid confusion
Step 1: Parentheses and Brackets
- Evaluate expressions inside parentheses and brackets FIRST
- Simplify each set of parentheses and brackets before moving on to the next step
- Group numbers and operators together using parentheses and brackets
Step 2: Exponents
- Simplify exponents NEXT, after operations in parentheses and brackets
- Exponents represent repeated multiplication, indicating how many times to multiply a number
- Evaluate exponents before moving on to the next step
Step 3: Multiplication and Division
- Evaluate multiplication and division operations from LEFT TO RIGHT
- Multiplication and division have the same priority, working from left to right
- If a problem has both multiplication and division, work from left to right
Step 4: Addition and Subtraction
- Evaluate addition and subtraction operations LAST, after all other operations
- Addition and subtraction have the same priority, working from left to right
- If a problem has both addition and subtraction, work from left to right
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Description
Learn about percentages, how to rewrite them as fractions, and the components of a percent problem, including part, total, and percent.
