Equivalent Expression: Finding Alternative Forms of 3×83

Which equation is the same as the following?

3×83 3\times83

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the expression representing the correct decomposition of the exercise
00:03 Let's use the distributive law
00:06 Let's break down 3 into 2 plus 1
00:09 Let's break down 83 into 80 plus 3
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Which equation is the same as the following?

3×83 3\times83

2

Step-by-step solution

We solve each of the options and keep in mind the order of arithmetic operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).

a.

3×8×3=24×3=72 3\times8\times3=24\times3=72

b.

(2+1)×(80+3)=3×83 (2+1)\times(80+3)=3\times83

c.

3+(80+3)=3+83 3+(80+3)=3+83

d.

3+83=86 3+83=86

Therefore, the answer is option B.

3

Final Answer

(2+1)×(80+3) (2+1)\times(80+3)

Practice Quiz

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\( 140-70= \)

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