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- Introduction to Decimals

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Get Started Now- Intro Lesson: a12:40
- Lesson: 1a1:29
- Lesson: 1b4:05
- Lesson: 1c1:24
- Lesson: 1d2:10
- Lesson: 2a2:35
- Lesson: 2b3:11
- Lesson: 2c3:08
- Lesson: 2d2:50
- Lesson: 3a1:05
- Lesson: 3b2:08
- Lesson: 3c1:22
- Lesson: 3d2:34
- Lesson: 4a3:32
- Lesson: 4b2:31
- Lesson: 4c3:19

In this lesson, we will learn:

- How to subtract decimal numbers using base ten (block) models
- That subtracting decimal numbers is the same as subtracting whole numbers, which involves lining up the right place values and exchanging

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

- A
**subtraction statement**is made of:**minuend**-**subtrahend**=**difference** - Cross out the blocks that you are subtracting (
**subtrahend**from the**minuend**), until you've crossed out all matching pairs (**subtrahend**all crossed out). **Exchange**(or "**borrow**") from a bigger block if you__don't have enough__blocks to cross out. One big block can be split into 10 of the next smaller type of block (next place value).

- To
**subtract decimals**,__line up__the**decimal point**to make sure you are adding the right place values in the same columns.**Exchange**(borrow) whenever necessary. - Sometimes, you will have to write one or more extra zeroes to a number after the decimal point (trailing zeroes) when the minuend/subtrahend don't have the same number of place values.

- IntroductionIntroduction to Subtracting Decimals:a)How to subtract decimals with base ten (block) models
- 1.
**Exchanging practice for decimals with block models**

Practice exchanging to make more smaller place values. Use base ten (block) models to help.a)4 ones + 6 tenths = ___ ones + ___ tenths

b)Exchange 1 one for 10 tenths:

8 tens + 0 ones + 3 tenths = ___ tens + ___ ones + ___ tenths

c)Exchange 1 tenth for 10 hundredths:

9 tenths + 1 hundredth = ___ tenths + ___ hundredths

d)Exchange 1 tenth for 10 hundredths:

2 ones + 0 tenths + 7 hundredths = ___ ones + ___ tenths + ___ hundredths

- 2.
**Subtracting decimal block models**

Subtract the decimal block models. Give the answer in standard form.a)b)c)d) - 3.
**Subtracting decimals on a grid**

Subtract the decimals by lining up on the grid.a)18.7 - 2.3

b)57.98 - 8

c)9.2 - 5.4

d)78.03 - 9.56

- 4.
**Subtracting decimals and rounding decimal differences**

Evaluate. Then, round your answer to the nearest tenth.a)41.2 - 8.43b)62.04 - 31.03c)675.92 - 324.7