Solve: 6×(3+5×2-13) Using Order of Operations

Question

6×(3+5×213)= 6\times(3+5\times2-13)=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Always solve the parentheses first
00:08 Multiplication and division precede addition and subtraction
00:11 Continue to solve the expression according to the proper order of operations
00:15 Calculate the parentheses
00:23 This is the solution

Step-by-Step Solution

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of these,

We will start by simplifying the expression in parentheses, since multiplication comes before addition and subtraction, we will first perform the multiplication in this expression and then the addition and subtraction operations in the expression, in the final stage we will perform the multiplication outside the parentheses:

6(3+5213)=6(3+1013)=60=0 6\cdot(3+5\cdot2-13)= \\ 6\cdot(3+10-13)= \\ 6\cdot0= \\ 0 In the final stage we remembered that multiplying any number by 0 gives the result 0,

Therefore the correct answer is answer D.

Answer

0