## Basic Math Operations with Decimals

#### Aligned To Common Core Standard:

**Grade 6 Numbers** - 6.NS.B.3

**How to Perform Decimal Division and Multiplication** -
Multiplication becomes very easy when you learn its method. However, when you learn how to multiply whole numbers, multiplying and dividing decimals become easier as well. Let us consider examples of both decimal multiplication and division one by one.
**Multiplication** -
Let us take an example of 4.21 x 4.1 and solve it individually.
First, you multiply the number like there is no decimal point there.
421 x 41 = 17261
Now, there are two decimal places in 4.21 and only one in 4.1. So, the total decimal places are 3. Then, the answer becomes 17.261.
**Division** -
For dividing decimal numbers, similar to the multiplication of decimals, you just divide the numbers by removing the decimals. For example, you have to divide 46 with 2.3. Now, when you remove a decimal point, you just place it at the end of the final decimal place. In this example, we make 2.3 into 23. However, you see that there is no decimal in 46, but since you placed the point after one decimal place. In the case of 46, a zero will be added to make it 460. Now, you just divide 460 by 23 and get an answer 20.

### Printable Worksheets And Lessons

- Add and Subtract Decimals Step-by-step Lesson- The problems are setup in a vertical setting. This makes it easier to follow.

- Guided Lesson - Subtract decimals that go beyond the zero, multiply decimals, and divide them too.

- Guided Lesson Explanation - These take a bit of time to explain.

- Practice Worksheet - I mixed up all the problems. Just tell students to identify the operation that they will be using first.

- Matching Worksheet - Mostly focused on sums and differences of decimals.

#### Homework Sheets

Sums, difference, products, and quotients... We cover it all in here with decimals.

- Homework 1 - Add the numbers as we would add whole numbers, but make sure to drop the decimal point.
- Homework 2 - Multiply as we would multiply whole numbers without a decimal point.
- Homework 3 - Divide until there is no remainder.

#### Practice Worksheets

I got all the operations into every sheet and made the font pretty big for practice.

- Practice 1 - Subtract the numbers just as we normally would subtract whole numbers. Make sure to leave room for the decimal point.
- Practice 2 - All four operations are explored here.
- Practice 3 - Count the total number of decimal places in the factors.