av $$ 5(12+6)=(5 imes \square)+(5 imes \square)=\square+\square=\square $$ b $$ 20(40-6)=(20 imes \square)-(\square imes \square)=\square-\square=\square $$ Use the inverse of the distributive property to complete the fol av $$ (4 imes 12)+(4 imes 6)=4(\square+\square)=4 imes \square=\square $$ b $$ (25 imes 30)-(25 imes 2)=25(\square-\square)=\square imes \square=\square $$

Question

av $$ 5(12+6)=(5 	imes \square)+(5 	imes \square)=\square+\square=\square $$ b $$ 20(40-6)=(20 	imes \square)-(\square 	imes \square)=\square-\square=\square $$ Use the inverse of the distributive property to complete the fol av $$ (4 	imes 12)+(4 	imes 6)=4(\square+\square)=4 	imes \square=\square $$ b $$ (25 	imes 30)-(25 	imes 2)=25(\square-\square)=\square 	imes \square=\square $$

UpStudy AI · Accepted Answer

Sure, let's complete each part by filling in the blanks using the distributive property and its inverse.

### Using the Distributive Property

**a.**  
$$ 
5(12 + 6) = (5 \times \underline{12}) + (5 \times \underline{6}) = 60 + 30 = 90 
$$

**b.**  
$$ 
20(40 - 6) = (20 \times \underline{40}) - (20 \times \underline{6}) = 800 - 120 = 680 
$$

### Using the Inverse of the Distributive Property

**a.**  
$$ 
(4 \times 12) + (4 \times 6) = 4(\underline{12 + 6}) = 4 \times 18 = 72 
$$

**b.**  
$$ 
(25 \times 30) - (25 \times 2) = 25(\underline{30 - 2}) = 25 \times 28 = 700 
$$

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### Summary of Completed Steps

1. **Distributive Property:**
   - **a.** $$ 5(12 + 6) = (5 \times 12) + (5 \times 6) = 60 + 30 = 90 $$
   - **b.** $$ 20(40 - 6) = (20 \times 40) - (20 \times 6) = 800 - 120 = 680 $$

2. **Inverse Distributive Property:**
   - **a.** $$ (4 \times 12) + (4 \times 6) = 4(12 + 6) = 4 \times 18 = 72 $$
   - **b.** $$ (25 \times 30) - (25 \times 2) = 25(30 - 2) = 25 \times 28 = 700 $$

Feel free to ask if you need further clarification or additional examples!
a. $$ 5(12 + 6) = (5 \times 12) + (5 \times 6) = 60 + 30 = 90 $$ b. $$ 20(40 - 6) = (20 \times 40) - (20 \times 6) = 800 - 120 = 680 $$ a. $$ (4 \times 12) + (4 \times 6) = 4(12 + 6) = 4 \times 18 = 72 $$ b. $$ (25 \times 30) - (25 \times 2) = 25(30 - 2) = 25 \times 28 = 700 $$

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Use the inverse of the distributive property to complete the fol
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av b Use the inverse of the distributive property to complete the fol av b