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Working with Decimals
Overview
We can use what we know about standard algorithms to solve problems involving decimals.
| Addition | Subtraction |
|---|---|
| For addition and subtraction, line up the decimals and solve | |
| 2.5 + 1.67 = ? | |
| Multiplication | Division |
|---|---|
| For multiplication, calculate the problem as if both decimals were whole numbers. Then, determine where to place the decimal by looking at the place value of the original numbers. Solve: |
For division, shift the decimals to make the dividend a whole number. Shift the decimal in the divisor the same number of spaces. Solve: |
| Step One | Step One |
| Step Two | |
| The first number had 2 digits to the right of the decimal. The second number had 1 digit to the right of the decimal. So, that’s a total of 3 digits to the right of the decimal. Place your decimal 3 units to the left. |
|
| 3.288 |
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25.7 + 6.24 = ?
Answer
31.94
Line up the decimals and add.
45.27 + 17.3 = ?
Answer
62.57
Line up the decimals and add.
63.82 + 24.6 = ?
Answer
88.42
Line up the decimals and add.
2.576 – 1.3 = ?
Answer
1.276
Line up the decimals and subtract.
142.23 – 1.273 = ?
Answer
140.957
Line up the decimals and subtract.
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