Math Info

Math Info. Order of Operations Info Rule 1: Rule 2: Rule 3:

First perform any calculations inside parentheses. Next perform all multiplications and divisions, working from left to right. Lastly, perform all additions and subtractions, working from left to right.

However, the problem above includes an exponent, so we cannot solve it without revising our rules.

Rule 1: Rule 2: Rule 3: Rule 4:

Simplify all operations inside parentheses. Simplify all exponents, working from left to right. Perform all multiplications and divisions, working from left to right. Perform all additions and subtractions, working from left to right.

We use the sentence: Please Excuse My Dear Aunt Sally to help us remember these rules:

1. Simplify all operations inside Parentheses. 2. Simplify all Exponents, working from left to right. 3. Perform all Multiplications and Divisions, working from left to right. 4. Perform all Additions and Subtractions, working from left to right.

Students generally use the acronym PEMDAS or BEDMAS to help them remember the order in which they complete multi-operation questions. The 'P' or 'B' in the acronym stands for parentheses or brackets. All operations within brackets get completed first. The 'E' refers to any exponents; all exponents are calculated after the parentheses. The 'M' and 'D' are interchangeable as one completes the multiplication and division in the order that they appear from left to right. The fourth and final step is to solve for the addition and subtraction in the order that they appear from left to right.

Decimal Info

The thousandth grid is a useful tool in representing and operations with decimals. Each small rectangle represents a thousandth. Each square represents a hundredth. Each row or column represents a tenth. The entire grid represents one whole. To write a percent as a decimal, follow these steps: 1. Remove the percent symbol. 2. Move the decimal point two places to the left, adding in zeros as needed. Summary: To write a decimal as a percent, multiply it by 100, and then add on the % symbol. To multiply a decimal by 100, move the decimal point two places to the right. Do not forget to include the percent symbol when writing a percent. Summary: To write a fraction as a percent, we can convert it to an equivalent fraction with a denominator of 100. Another way to write a fraction as a percent is to divide its numerator by its denominator, then convert the resulting decimal to a percent. Summary: To write a percent as a fraction in lowest terms, follow these steps: 1. Write the percent as a fraction

with a denominator of 100. 2. Reduce the fraction to lowest terms. Definition: A percent is a ratio whose second term is 100. Percent means parts per hundred. The word percent comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent. Decimal Addition/Subtraction Try the following mental addition strategy for decimals. Begin by ignoring the decimals in the addition question. Add the numbers as if they were whole numbers. For example, 3.25 + 4.98 could be viewed as 325 + 498 = 823. Use an estimate to decide where to place the decimal. In the example, 3.25 + 4.98 is approximately 3 + 5 = 8, so the decimal in the sum must go between the 8 and the 2 (i.e. 8.23