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
)
To arrange the expressions from least to greatest, let's simplify each expression step by step:
Expression 1: (72 ÷ 8) − 2 × 3 + 1
First, solve the division: 72 ÷ 8 = 9
Then, perform the multiplication: 2 × 3 = 6
Now evaluate the subtraction: 9 - 6 = 3
Finally, add 1: 3 + 1 = 4
Expression 2: 72 ÷ (8 − 2) × 3 + 1
Inside the parentheses, perform the subtraction: 8 - 2 = 6
Solve the division: 72 ÷ 6 = 12
Perform the multiplication: 12 × 3 = 36
Finally, add 1: 36 + 1 = 37
Expression 3: 72 ÷ (8 − 2) × (3 + 1)
Inside the parentheses, perform the addition: 3 + 1 = 4
Now evaluate the division: 8 - 2 = 6
Solve the division: 72 ÷ 6 = 12
Perform the multiplication: 12 × 4 = 48
Expression 4: 72 ÷ 8 − 2 × (3 + 1)
Inside the parentheses, perform the addition: 3 + 1 = 4
Perform the multiplication: 2 × 4 = 8
Now evaluate the division: 72 ÷ 8 = 9
Finally, subtract 8: 9 - 8 = 1
Arranging the expressions from least to greatest, we have:
1. 72 ÷ 8 − 2 × (3 + 1) = 1
2. (72 ÷ 8) − 2 × 3 + 1 = 4
3. 72 ÷ (8 − 2) × 3 + 1 = 37
4. 72 ÷ (8 − 2) × (3 + 1) = 48
First simplify any expressions inside parentheses:
- (
72
÷
8
)
−
2
×
3
+
1
= 9 - 6 + 1 = 4
- 72
÷
(
8
−
2
)
×
3
+
1
= 12 × 3 + 1 = 37
- 72
÷
(
8
−
2
)
×
(
3
+
1
)
= 12 × 4 = 48
- 72
÷
8
−
2
×
(
3
+
1
)
= 9 - 8 = 1
Now we can order them from least to greatest:
1. 72÷(8−2)×(3+1) = 48
2. 72÷(8−2)×3+1 = 37
3. (72÷8)−2×(3+1)+1 = 4
4. 72÷8−2×(3+1) = 1
Therefore, the order from least to greatest is:
1. 72÷(8−2)×(3+1) = 48
2. 72÷(8−2)×3+1 = 37
3. (72÷8)−2×(3+1)+1 = 4
4. 72÷8−2×(3+1) = 1