## Decimal Operations

#### Aligned To Common Core Standard:

**Grade 5 Base Ten** - 5.NBT.7

How to perform Basic Math Operations with Decimals -
**Sum** - The numbers to be added are placed one below the other so that the decimal points remain in a column. They are added as whole numbers, putting the point in the result so that it is in a column with the addends.
**Subtraction** - The number to be subtracted from is placed under the number to be subtracted so that the decimal points remain in the column adding zeros if necessary. This way the number to be subtracted and the number to be subtracted from have the same number of decimal places. They are subtracted as whole numbers and the decimal point is placed in a column with the other points.
To add or subtract two or more decimal numbers, you must sort them in columns by matching the commas. Then they are added or subtracted as if they were natural numbers (from right to left) and the comma is placed in the result, under the comma column.
**Multiplication** - To multiply two decimals or an integer by one decimal, multiply as if they were integers, separating from the right of the product with a decimal point as many decimal figures as there are in the multiplying and multiplier (the decimals of both terms are added).
**Division** - If the decimals that are divided do not have the same number of decimal places, zeros are added to the one with fewer figures so that they remain the same. After matching the number of decimals, the points are deleted and divided as integers.

### Printable Worksheets And Lessons

- Visual Decimal Products
Step-by-step Lesson- This is a very neat way to look at problems
like this.

- Guided Lesson - We
cover all the decimal operations in this one: Addition, Subtraction,
Division, and Multiplication in just about every orientation.

- Guided Lesson Explanation
- To give you a solid walk through on these, it took 4 pages in
all.

- Practice Worksheet -
This one is an extension of the guided lesson. Just a lot more problems
for you to practice with.

- Matching Worksheet - Match the operations to their outcomes (sums, differences, products, or quotients).

#### Homework Sheets

I always like the strategy presented here. At first this is like a foreign language to most students.

- Homework 1 - Use the grid to fill in the missing number, 0.5 x 0.5 =. This is a visual display of the decimals.
- Homework 2 - Addition problems with decimals to the hundredths place value. Make sure to carry your values over to the next place, when needed.
- Homework 3 - Same idea, but we flip the sign and go after subtraction problems. We show you how to line up these problems.

#### Practice Worksheets

A huge potpourri of problems for you to work with.

- Practice 1 - This covers it all as far as math operations. A problem that covers the four majors: addition, subtraction, multiplication, and division.
- Practice 2 - These five problems seem like a test. It should be a good primer to see where you sit with this problem.
- Practice 3 - Round your answer to the nearest hundredth except for problems number two and four.

#### Math Skill Quizzes

I just couldn't fit ten problems on these, so it is a little off on the grading scheme; so is the key.

- Quiz 1 - Eight quick question to see if you know your stuff. You should have enough space to work with.
- Quiz 2 - Have another go and see how you feel after. The early visual problems will get you going in the righ direction.
- Quiz 3 - The keys to good work will really see if you understand this concept.

### When Will You Use These Skills in Your Everyday Life?

The financial world is centered around the concept of decimal operations. Whenever you are handling cash money, you are processing these calculations without even realizing it. We are constantly adding up the money in our wallets to match the value that we owe. Some people take a different approach to buying products. They will subtract the money that they have in their wallet until they satisfy the value of the required cash. You will find yourself doing this at any storefront or restaurant you go to. At restaurants we also multiply the bill in decimal value to determine the customary fifteen percent tip for the waiter or waitress that provided us good service. If the service was not up to your standard, you would pitch that percentage downward. If the service was out of sight, up would bump that percentage up. We use decimal division all the time when we are making something in the kitchen. If you were trying to make pancakes and wanted to know how many pancakes you would make with the batter that you had present, you just divide the amount of batter that you had with the amount of batter that goes into one pancake.