Finding Equivalent Expressions for 34×11: Multiplication Methods

Question

Which equation is the same as the following?

34×11 34\times11

Video Solution

Solution Steps

00:00 Find the expression that represents the correct factorization of the exercise
00:03 We will use the distributive law
00:06 Let's break down 34 into 30 plus 4
00:10 Let's break down 11 into 10 plus 1
00:13 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+4)+11=34+11 (30+4)+11=34+11

b.

30×4×11=120×11=1,320 30\times4\times11=120\times11=1,320

c.

(30+4)+10+1=34+11 (30+4)+10+1=34+11

d.

(30+4)×(10+1)=34×11 (30+4)\times(10+1)=34\times11

Therefore, the answer is option D.

Answer

(30+4)×(10+1) (30+4)\times(10+1)