Find Equivalent Expressions: Solving 14×42 Multiplication

Question

Which equation is the same as the following?

14×42 14\times42

Video Solution

Solution Steps

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 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.

Answer

(10+4)×(40+2) (10+4)\times(40+2)

More Questions

Related Subjects

The Distributive Property for Seventh Graders The Distributive Property The Distributive Property of Division The Distributive Property in the Case of Multiplication The commutative properties of addition and multiplication, and the distributive property

Question Types

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