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Evaluate the following expression and name the property used in each step:

2â‹…8â‹…10â‹…2

Short Answer

Expert verified

The value of the expression is: 2â‹…8â‹…10â‹…2=320.

Step by step solution

01

Step 1. Given information.

The given expression is:

2â‹…8â‹…10â‹…2

02

Step 2. Write the concept.

The substitution property for multiplication, addition, and subtraction is:

a⋅b=ca÷b=ca±b=c

The Associative property is:

a+b+c=a+b+c

03

Step 3. Evaluate the expression.

The expression2â‹…8â‹…10â‹…2 can be solved below:

2â‹…8â‹…10â‹…2=2â‹…8â‹…10â‹…2 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰´¡²õ²õ´Ç³¦¾±²¹³Ù¾±±¹±ð â¶Ä‰P°ù´Ç±è±ð°ù³Ù²â=2â‹…8â‹…20 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â€‰³§³Ü²ú²õ³Ù¾±³Ù³Ü³Ù¾±´Ç²Ô â¶Ä‰P°ù´Ç±è±ð°ù³Ù²â=2â‹…8â‹…20 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰´¡²õ²õ´Ç³¦¾±²¹³Ù¾±±¹±ð â¶Ä‰P°ù´Ç±è±ð°ù³Ù²â=2â‹…160 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰³§³Ü²ú²õ³Ù¾±³Ù³Ü³Ù¾±´Ç²Ô â¶Ä‰P°ù´Ç±è±ð°ù³Ù²â=320 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰³§³Ü²ú²õ³Ù¾±³Ù³Ü³Ù¾±´Ç²Ô â¶Ä‰P°ù´Ç±è±ð°ù³Ù²â

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