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- Introduction to Decimals

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Get Started Now- Intro Lesson: a9:47
- Lesson: 1a1:15
- Lesson: 1b2:36
- Lesson: 1c3:27
- Lesson: 2a2:40
- Lesson: 2b3:25
- Lesson: 2c4:14
- Lesson: 3a1:41
- Lesson: 3b1:21
- Lesson: 3c1:11
- Lesson: 3d1:29
- Lesson: 4a2:24
- Lesson: 4b2:30
- Lesson: 4c2:37
- Lesson: 4d4:25

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

**To**with**add decimals****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**=place value__ones__ - Column (stick or rod) =
place value__tenths__ - Single square =
place value__hundredths__

- 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.

- IntroductionIntroduction to Adding Decimals:a)How to add decimals with base ten (block) models
- 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.a)17 tenths = ____ ones + ____ tenths

b)4 ones + 12 tenths + 39 hundredths = ____ ones + ____ tenths + ____ hundredths

c)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.a)

b)

c)

- 3.
**Adding decimals on a grid**

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

b)4.6 + 2.9

c)41.03 + 5.72

d)35.84 + 6.5

- 4.
**Adding decimals and rounding decimal sums**

Evaluate. Then, round your answer to the nearest tenth.a)7.6 + 2.14b)80.65 + 19.23c)18.24 + 3.17d)98 + 38.97