Solve (12+2)×(3+5): Order of Operations Practice Problem

Question

(12+2)×(3+5)= (12+2)\times(3+5)=

Video Solution

Solution Steps

00:07 Let's solve this problem together!
00:10 First, open the parentheses carefully.
00:14 Each term inside the first parentheses multiplies every term in the second set. Let's do this step by step.
00:30 Next, solve each multiplication. Then, add them all up together.
00:52 Now, tackle one addition at a time. You're almost there!
00:59 Great job! This is the solution. Well done!

Step-by-Step Solution

Simplify this expression by paying attention to the order of arithmetic operations which states that exponentiation precedes multiplication, division precedes addition and subtraction and that parentheses precede all of the above.

Thus, let's begin by simplifying the expressions within the parentheses, and following this, the multiplication between them.

(12+2)⋅(3+5)=14⋅8=112 (12+2)\cdot(3+5)= \\ 14\cdot8=\\ 112

Therefore, the correct answer is option C.

Answer

112

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Related Subjects

The Distributive Property for Seventh Graders The Extended Distributive Property The Distributive Property The Distributive Property of Division Algebraic Method Order of Operations with Parentheses The Distributive Property in the Case of Multiplication The commutative properties of addition and multiplication, and the distributive property Parentheses

Question Types

Parentheses in advanced Order of Operations: Addition, subtraction, multiplication and division Parentheses in simple Order of Operations: Addition, subtraction, multiplication and division The Distributive Property for 7th Grade: Addition, subtraction, multiplication and division