Find Equivalent Expressions: Solving 14×42 Multiplication

Which equation is the same as the following?

14×42 14\times42

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the expression that represents the correct decomposition of the exercise
00:03 Let's use the distributive law
00:06 Let's break down 14 into 10 plus 4
00:11 Let's break down 42 into 40 plus 2
00:15 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?

14×42 14\times42

2

Step-by-step solution

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

a.

10+4+40+2=14+42=36 10+4+40+2=14+42=36

b.

(10×4)+(40×2)=40+80 (10\times4)+(40\times2)=40+80

c.

(10+4)×(40+2)=14×42 (10+4)\times(40+2)=14\times42

d.

10×4×40×2=40×40×2=160×2=360 10\times4\times40\times2=40\times40\times2=160\times2=360

Therefore, the answer is option C.

3

Final Answer

(10+4)×(40+2) (10+4)\times(40+2)

Practice Quiz

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\( 140-70= \)

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