Decimals in Action: Completing Addition and Subtraction Sentences

When working with decimals, we often encounter incomplete sentences or equations that require us to fill in the missing piece. These can be in the form of missing addends, subtrahends, minuends, or even the result itself. Let's explore how to approach and solve these types of problems.

Decimals in Action: Completing Addition and Subtraction Sentences

Completing Decimal Addition or Subtraction Sentences

Example 1: Completing an Addition Sentence

\(3.45 + \_ = 7.89\)

Solution Process:

Subtract \(3.45\) from \(7.89\).

Answer:

The missing addend is \(4.44\).

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Example 2: Completing a Subtraction Sentence

\(8.23 – \_ = 5.78\)

Solution Process:

Subtract \(5.78\) from \(8.23\).

Answer:

The missing subtrahend is \(2.45\).

Completing decimal addition or subtraction sentences is a valuable skill that tests your understanding of the operations and your ability to manipulate decimals. By identifying the known values and using addition or subtraction, you can find the missing piece of the equation. This skill not only reinforces your foundational knowledge of decimals but also enhances your problem-solving abilities. With regular practice, you’ll become adept at quickly and accurately completing these sentences, making you a true decimal detective.

Practice Questions:

1. \(4.56 + \_ = 9.01\)

2. \(7.89 – \_ = 3.45\)

3. \(2.34 + \_ = 6.78\)

4. \(9.01 – \_ = 4.56\)

5. \(5.67 + \_ = 8.90\)

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Answers:

1. \(4.45\)

2. \(4.44\)

3. \(4.44\)

4. \(4.45\)

5. \(3.23\)

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