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

Question

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

UpStudy AI · Accepted Answer

To determine which expressions are equal to $$ 6 \times 45 $$, we will evaluate each expression step by step.

1. **Expression:** $$ 6 \times(40+5) $$
   - Calculation: 
   $$
   6 \times(40+5) = 6 \times 45 = 270
   $$
   - **Result:** Equal to $$ 6 \times 45 $$ (True)

2. **Expression:** $$ 4+2 \times 45 $$
   - Calculation: 
   $$
   4 + 2 \times 45 = 4 + 90 = 94
   $$
   - **Result:** Not equal to $$ 6 \times 45 $$ (False)

3. **Expression:** $$ (6 \times 40)+(6 \times 5) $$
   - Calculation: 
   $$
   (6 \times 40) + (6 \times 5) = 240 + 30 = 270
   $$
   - **Result:** Equal to $$ 6 \times 45 $$ (True)

4. **Expression:** $$ (6+40) \times(6+5) $$
   - Calculation: 
   $$
   (6+40) \times(6+5) = 46 \times 11 = 506
   $$
   - **Result:** Not equal to $$ 6 \times 45 $$ (False)

5. **Expression:** $$ 6 \times(20+25) $$
   - Calculation: 
   $$
   6 \times(20+25) = 6 \times 45 = 270
   $$
   - **Result:** Equal to $$ 6 \times 45 $$ (True)

Now, let's summarize the results:

- $$ 6 \times(40+5) $$ (True)
- $$ 4+2 \times 45 $$ (False)
- $$ (6 \times 40)+(6 \times 5) $$ (True)
- $$ (6+40) \times(6+5) $$ (False)
- $$ 6 \times(20+25) $$ (True)

Thus, the expressions that are equal to $$ 6 \times 45 $$ are:

- $$ 6 \times(40+5) $$
- $$ (6 \times 40)+(6 \times 5) $$
- $$ 6 \times(20+25) $$
The expressions equal to $$ 6 \times 45 $$ are: - $$ 6 \times(40+5) $$ - $$ (6 \times 40)+(6 \times 5) $$ - $$ 6 \times(20+25) $$

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

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