4. Write the name of the properties of the whole numbers in front of each of the sentences below. a. $$ 218+0=218 $$ : $$ \quad $$ property. b. $$ 3456 imes 1=3456 $$ : $$ \quad $$ property d. $$ 56 imes 36=36 imes 56 $$ : $$ \quad $$ property d. $$ 50+200=200+50: $$

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4. Write the name of the properties of the whole numbers in front of each of the sentences below. a. $$ 218+0=218 $$ : $$ \quad $$ property. b. $$ 3456 	imes 1=3456 $$ : $$ \quad $$ property d. $$ 56 	imes 36=36 	imes 56 $$ : $$ \quad $$ property d. $$ 50+200=200+50: $$

UpStudy AI · Accepted Answer

Sure, here are the names of the properties corresponding to each equation:

**a. Identity Property of Addition**

$$ 218 + 0 = 218 $$

**b. Identity Property of Multiplication**

$$ 3456 \times 1 = 3456 $$

**c. Commutative Property of Multiplication**

$$ 56 \times 36 = 36 \times 56 $$

**d. Commutative Property of Addition**

$$ 50 + 200 = 200 + 50 $$

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**Explanation of the Properties:**

1. **Identity Property of Addition:** Adding zero to any number does not change the value of the number.
   
   $$
   a + 0 = a
   $$
   
2. **Identity Property of Multiplication:** Multiplying any number by one does not change the value of the number.
   
   $$
   a \times 1 = a
   $$
   
3. **Commutative Property of Multiplication:** Changing the order of the numbers in a multiplication operation does not change the product.
   
   $$
   a \times b = b \times a
   $$
   
4. **Commutative Property of Addition:** Changing the order of the numbers in an addition operation does not change the sum.
   
   $$
   a + b = b + a
   $$
a. Identity Property of Addition b. Identity Property of Multiplication c. Commutative Property of Multiplication d. Commutative Property of Addition

4. Write the name of the properties of the whole numbers in front of each of the sentences below. a. \( 218+0=218 \) : \( \quad \) property. b. \( 3456 \times 1=3456 \) : \( \quad \) property d. \( 56 \times 36=36 \times 56 \) : \( \quad \) property d. \( 50+200=200+50: \)

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