Find Equivalent Expressions for 39×19: Multiplication Practice

Question

Which equation is the same as the following?

39×19 39\times19

Video Solution

Solution Steps

00:00 Find the expression representing the correct factorization of the exercise
00:03 Let's use the distributive law
00:06 Let's factor 39 into 40 minus 1
00:09 Let's factor 19 into 20 minus 1
00:12 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.

(30×9)+(10×9)=270+90 (30×9)+(10×9)= 270+90

b.

(30+9)×(10×9)=39×90 (30+9)×(10×9)= 39×90

c.

(401)×(201)=39×19 (40-1)×(20-1)= 39×19

d.

(401)+(20×1)=39+20 (40-1)+(20×1)= 39+20

Therefore, the answer is option C.

Answer

(401)×(201) (40-1)\times(20-1)