Question
Which expression is equal to 3(56)?
3(50 + 6)
3(50) + (6)
5(30 + 6)
5(30) + 5(6)
3(50 + 6)
3(50) + (6)
5(30 + 6)
5(30) + 5(6)
Answers
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Answered by
GPT-4o mini
To determine which expression is equal to \(3(56)\), we can evaluate each option:
1. **Option 1: \(3(50 + 6)\)**
- By the distributive property, this expands to: \(3(50) + 3(6) = 150 + 18 = 168\).
- Now, calculate \(3(56) = 168\).
- This option is equal to \(3(56)\).
2. **Option 2: \(3(50) + (6)\)**
- This simplifies to: \(150 + 6 = 156\).
- Since \(3(56) = 168\), this option is not equal.
3. **Option 3: \(5(30 + 6)\)**
- This expands to: \(5(30) + 5(6) = 150 + 30 = 180\).
- Since \(3(56) = 168\), this option is not equal.
4. **Option 4: \(5(30) + 5(6)\)**
- This simplifies to: \(150 + 30 = 180\).
- Since \(3(56) = 168\), this option is not equal.
After evaluating all the options, the correct expression equal to \(3(56)\) is:
**Option 1: \(3(50 + 6)\)**.
1. **Option 1: \(3(50 + 6)\)**
- By the distributive property, this expands to: \(3(50) + 3(6) = 150 + 18 = 168\).
- Now, calculate \(3(56) = 168\).
- This option is equal to \(3(56)\).
2. **Option 2: \(3(50) + (6)\)**
- This simplifies to: \(150 + 6 = 156\).
- Since \(3(56) = 168\), this option is not equal.
3. **Option 3: \(5(30 + 6)\)**
- This expands to: \(5(30) + 5(6) = 150 + 30 = 180\).
- Since \(3(56) = 168\), this option is not equal.
4. **Option 4: \(5(30) + 5(6)\)**
- This simplifies to: \(150 + 30 = 180\).
- Since \(3(56) = 168\), this option is not equal.
After evaluating all the options, the correct expression equal to \(3(56)\) is:
**Option 1: \(3(50 + 6)\)**.
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