Select all of the expressions that are equal to \( 6 \times 45 \). \( \square \quad 6 \times(40+5) \) \( \square \quad 4+2 \times 45 \) \( \square \quad(6 \times 40)+(6 \times 5) \) \( \square \quad(6+40) \times(6+5) \) \( \square \quad 6 \times(20+25) \) \( \square \)

Let’s break down the options to find which expressions are equal to \( 6 \times 45 \). 1. **For \( 6 \times(40+5) \)**: This is equal to \( 6 \times 45 \) because \( 40 + 5 = 45 \). ✅ 2. **For \( 4+2 \times 45 \)**: This simplifies to \( 4 + 90 = 94 \), which is not equal to \( 6 \times 45 = 270 \). ❌ 3. **For \( (6 \times 40)+(6 \times 5) \)**: By the distributive property, this equals \( 240 + 30 = 270 \), which is equal to \( 6 \times 45 \). ✅ 4. **For \( (6+40) \times (6+5) \)**: This expands to \( 46 \times 11 = 506 \), which is definitely not equal to \( 6 \times 45 \). ❌ 5. **For \( 6 \times(20+25) \)**: This simplifies to \( 6 \times 45 \) because \( 20 + 25 = 45 \). ✅ So the expressions equal to \( 6 \times 45 \) are: - \( 6 \times(40+5) \) - \( (6 \times 40)+(6 \times 5) \) - \( 6 \times(20+25) \)