# What is the order of operations with decimals?

## What is the order of operations with decimals?

To use the order of operations with decimals, we use the same order of operations that we do with integers. We can use the acronym PEMDAS to remind ourselves that the operations should be calculated in the following order: parentheses, exponents, multiplication/division, and addition/subtraction.

### How do you perform multiple operations with decimals?

To multiply decimals, just multiply as usual. Then count the total number of digits above the line that are to the right of all decimal points. Place your decimal point in your answer so there are the same number of digits to the right of it as there are above the line.

**What are some decimal word problems?**

Solving More Decimal Word Problems

- Example 1: School lunches cost $14.50 per week.
- Example 2: A student earns $11.75 per hour for gardening.
- Example 3: Rick’s car gets 29.7 miles per gallon on the highway.
- Example 4: A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days.

**Why do you need to learn operations on decimals?**

We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.

## What are the rules that you need to consider in performing operations on decimals?

Standard division algorithm

- Move the decimal point of the divisor to the end of the number.
- Move the decimal point of the dividend the same number of positions (the same distance and direction).
- Divide the new decimal dividend (from Step 2) by the new whole number divisor (from Step 1).

### What are the rules for decimals?

1) Multiply the decimals as if the decimals were whole numbers. 2) To place the decimal point, count the number of decimal places in each factor. 3) The number of decimal places in the product is the sum of the number of decimal places in each factor. Multiply the decimals as if they were whole numbers.

**Why is it important to solve problems involving decimals?**

To solve straightforward math problems, it might be helpful to relate the decimal numbers to something you can understand easier, such as money. For word problems, the key to solving them is to visualize them and figure out the important numbers you need to be concerned about.