# Adding decimals

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##### Intros
###### Lessons
1. Introduction to Adding Decimals:
How to add decimals with base ten (block) models
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##### Examples
###### Lessons
1. Regrouping practice for decimals with block models
Regroup so that each place value only has one digit. Use base ten (block) models to help.
1. 17 tenths = ____ ones + ____ tenths
2. 4 ones + 12 tenths + 39 hundredths = ____ ones + ____ tenths + ____ hundredths
3. 6 ones + 29 tenths + 16 hundredths = ____ ones + ____ tenths + ____ hundredths
2. Adding decimal block models
Add the decimal block models. Give the answer in standard form.

3. Adding decimals on a grid
Add the decimals by lining up on the grid. Regroup where necessary.
1. 34.8 + 5

2. 4.6 + 2.9

3. 41.03 + 5.72

4. 35.84 + 6.5

4. Adding decimals and rounding decimal sums
Evaluate. Then, round your answer to the nearest tenth.
1. 7.6 + 2.14
2. 80.65 + 19.23
3. 18.24 + 3.17
4. 98 + 38.97
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##### Practice
###### Topic Notes

In this lesson, we will learn:

• How to add decimal numbers using base ten (block) models
• That adding decimal numbers is the same as adding whole numbers, which involves lining up the right place values and regrouping

Notes:

• To add decimals with base ten (block) models:
• Remember the three types of blocks used to represent the ones, tenths, and hundredths place values
• "One whole" or hundred block = ones place value
• Column (stick or rod) = tenths place value
• Single square = hundredths place value
• An addition statement is made of: addend + addend = sum
• Count all of the blocks that you are adding up, altogether
• Regroup to get to your final answer. 10 of any type of block will regroup into the next bigger type of block.

• To add decimals, line up the decimal point to make sure you are adding the right place values in the same columns. Regroup (carry over) numbers whenever necessary.
• Sometimes, you will have to write one or more zeroes to a number after the decimal point (trailing zeroes) when the addends don't have the same number of place values.