Determine which of the expressions could be used to represent the following calculation:
Divide the difference between 96 and 72 by 12.
Select all that apply.
A.
(
96
−
72
)
÷
12
B.
96
−
(
72
÷
12
)
C.
(
96
÷
12
)
−
72
D.
24
÷
12
E.
96
÷
6
A. (
96
−
72
)
÷
12
and C. (
96
÷
12
)
−
72
use pemdas
Sure! PEMDAS is a helpful acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It tells us the order of operations in arithmetic.
Using PEMDAS to simplify expressions makes it easier to avoid errors and get the right answer.
For example, consider the expression:
2 + 3 x 5 - 4 / 2
Using PEMDAS, we would first do any calculations inside parentheses (there are none here), then any exponents (none here), then multiplication and division:
2 + 3 x 5 - 4 / 2 = 2 + 15 - 2
Next, we do addition and subtraction from left to right:
2 + 15 - 2 = 15
So the simplified expression is 15.
Remembering and using PEMDAS is an important part of performing calculations accurately and efficiently.
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom.
(
72
÷
8
)
−
2
×
3
+
1
72
÷
(
8
−
2
)
×
3
+
1
72
÷
(
8
−
2
)
×
(
3
+
1
)
72
÷
8
−
2
×
(
3
+
1
)
Let's simplify each expression using PEMDAS and compare them:
1. (
72
÷
8
)
−
2
×
3
+
1
= 9 - 6 + 1 = 4
2. 72 ÷ (
8
−
2
)
×
3
+
1
= 12 × 3 + 1 = 37
3. 72 ÷ (
8
−
2
)
×
(
3
+
1
)
= 12 × 4 = 48
4. 72 ÷ 8 − 2 × (
3
+
1
)
= 9 - 8 × 4 = -23
So, the correct order from least to greatest is:
4. 72 ÷ 8 − 2 × (
3
+
1
)
3. 72 ÷ (
8
−
2
)
×
(
3
+
1
)
1. (
72
÷
8
)
−
2
×
3
+
1
2. 72 ÷ (
8
−
2
)
×
3
+
1
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
+−×÷
12
(
7
−
4
)
+
5
3 = 19
12 ÷ (7 − 4) × 5 + 3 = 19.
So we need to drag the signs in the following order:
÷, (, −, ), ×, +
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
× returned to choices list.
+−×÷
12
(
7
−
4
)
+
5
3 = 19
12 ÷ (7 + 3) × 5 - 4 = 19.
So we need to drag the signs in the following order:
÷, (, +, ), ×, -, 4
fill in the blanks
12_(7-4)+5_3=19