Question

Which expression is equivalent to

5+6x3-4 ÷ 2?
A 33 (6 x 4) + 8
B
5x6÷3-4÷2
C 3(6 x0) + 18 ÷ 6
D 3²+4x5-6-2
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Answer 1

expression D

Explanation:

the expression gives a solution of 21

BOMDAS

brackets, orders, multiplication, division, addition, subtraction

this is a catchy trick to remember the order in which the mathematical operation is to be done

5+6×3-4÷2 =21

3²+4×5-6-2=21

therefore these expressions are equivalent

♡

Answer 2

Option D

Explanation:

To simplify the expression 5 + 6 x 3 - 4 ÷ 2, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). Using this order:

First, perform the multiplication:

6 x 3 = 18

Then, perform the division:

4 ÷ 2 = 2

Now, substitute these results back into the original expression:

5 + 18 - 2

Finally, perform the addition and subtraction from left to right:

5 + 18 = 23

23 - 2 = 21

So, the expression simplifies to 21.

Among the options given:

A) 33 (6 x 4) + 8 does not simplify to 21.

B) 5 x 6 ÷ 3 - 4 ÷ 2 simplifies to 10 - 2 = 8, which is not equivalent to 21.

C) 3 (6 x 0) + 18 ÷ 6 simplifies to 0 + 3 = 3, which is not equivalent to 21.

D) 3² + 4 x 5 - 6 - 2 simplifies to 9 + 20 - 6 - 2 = 21, which is equivalent to the simplified expression.

So, the correct equivalent expression is option D.