Math

QuestionWhich expression does NOT equal 36? (A) (48÷8)×3+2(48 \div 8) \times 3+2 (B) (9+9÷3)×3(9+9 \div 3) \times 3 (C) 3×(164×1)3 \times(16-4 \times 1) (D) (222×5)×3(22-2 \times 5) \times 3

Studdy Solution

STEP 1

Assumptions1. We are given four expressions and we need to find the one that is NOT equal to36. . We will use the order of operations, also known as BIDMAS or PEMAS, to solve these expressions. This stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

Let's start with the first expression (A) and solve it using the order of operations.
(48÷8)×+2 (48 \div8) \times+2

STEP 3

First, perform the division inside the brackets.
=6×3+2 =6 \times3+2

STEP 4

Next, perform the multiplication.
=18+2 =18 +2

STEP 5

Finally, perform the addition.
=20 =20

STEP 6

Now, let's solve the second expression (B) using the order of operations.
(9+9÷3)×3 (9+9 \div3) \times3

STEP 7

First, perform the division inside the brackets.
=(9+3)×3 = (9+3) \times3

STEP 8

Next, perform the addition inside the brackets.
=12×3 =12 \times3

STEP 9

Finally, perform the multiplication.
=36 =36

STEP 10

Now, let's solve the third expression (C) using the order of operations.
3×(164×)3 \times(16-4 \times)

STEP 11

First, perform the multiplication inside the brackets.
=3×(164) =3 \times (16-4)

STEP 12

Next, perform the subtraction inside the brackets.
=×12 = \times12

STEP 13

Finally, perform the multiplication.
=36 =36

STEP 14

Now, let's solve the fourth expression () using the order of operations.
(222×)×3 (22-2 \times) \times3

STEP 15

First, perform the multiplication.
=(2210)×3 = (22-10) \times3

STEP 16

Next, perform the subtraction inside the brackets.
=12×3 =12 \times3

STEP 17

Finally, perform the multiplication.
=36 =36

STEP 18

Now, compare the results of the four expressions with36. The first expression (A) is not equal to36, while the rest are equal to36.
So, the expression that is NOT equal to36 is (A) (48÷8)×3+2(48 \div8) \times3+2.

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