Subtracting decimals

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Intros
Lessons
1. Introduction to Subtracting Decimals:
How to subtract decimals with base ten (block) models
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Examples
Lessons
1. Exchanging practice for decimals with block models
Practice exchanging to make more smaller place values. Use base ten (block) models to help.
1. 4 ones + 6 tenths = ___ ones + ___ tenths

2. Exchange 1 one for 10 tenths:
8 tens + 0 ones + 3 tenths = ___ tens + ___ ones + ___ tenths

3. Exchange 1 tenth for 10 hundredths:
9 tenths + 1 hundredth = ___ tenths + ___ hundredths

4. 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.
3. Subtracting decimals on a grid
Subtract the decimals by lining up on the grid.
1. 18.7 - 2.3

2. 57.98 - 8

3. 9.2 - 5.4

4. 78.03 - 9.56

4. Subtracting decimals and rounding decimal differences
1. 41.2 - 8.43
2. 62.04 - 31.03
3. 675.92 - 324.7
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Practice
Topic Notes

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

Notes:

• 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 = ones place value
• Column (stick or rod) = tenths place value
• Single square = hundredths place value
• 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.