How can you use the properties of operations to evaluate this expression? 18 + 4(28)

You can use the commutative property to rearrange the problem like this, 18 + 28 * 28 * 28 * 28 = 130

Basically, you can use the properties of operations to solve 18 + 4(28) in various ways. Though whichever operation you apply must give you the same result. The result of 18 + 4(28) is 130.

   The four basic types of properties of operations are commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication.

   According to the purplemath site, "The word 'commutative' comes from 'commute' or 'move around', so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is 'a + b = b + a'; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is 'ab = ba'; in numbers, this means 2×3 = 3×2."

   According to the splashlearn site, "the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the sum does NOT change irrespective of how the addends are grouped. Here's another example. ( 75 + 81 ) + 34."

   According to the mathwarehouse site, "In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."

   According to the math site, "Identity property. The identity property for addition tells us that zero added to any number is the number itself. Zero is called the 'additive identity.' The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself."

Sample response: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

Step-by-step explanationWhich reasons did you include in your response? Check all that apply.

The distributive property can be applied to multiply 4(28) mentally.

The number 28 can be expanded to 20 + 8.

The commutative property can be applied to reverse the order of numbers.:

hope this helps \_(-^-)_/

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