Arrange the expressions below in order from least to greatest at the bottom.

(72 divide by 8) - 2 x 3 +1

72 divide by ( 8 - 2) x 3 + 1

72 divide by ( 8 - 2) x ( 3 + 1)

72 divide by 8 - 2 x ( 3 + 1 )

1 answer

Let's evaluate each expression step by step.

  1. (72 divide by 8) - 2 x 3 + 1

    • \( 72 \div 8 = 9 \)
    • \( 9 - 2 \times 3 + 1 \)
    • \( 2 \times 3 = 6 \)
    • \( 9 - 6 + 1 = 4 \)
  2. 72 divide by (8 - 2) x 3 + 1

    • \( 8 - 2 = 6 \)
    • \( 72 \div 6 = 12 \)
    • \( 12 \times 3 + 1 = 36 + 1 = 37 \)
  3. 72 divide by (8 - 2) x (3 + 1)

    • \( 8 - 2 = 6 \)
    • \( 3 + 1 = 4 \)
    • \( 72 \div 6 = 12 \)
    • \( 12 \times 4 = 48 \)
  4. 72 divide by 8 - 2 x (3 + 1)

    • \( 72 \div 8 = 9 \)
    • \( 3 + 1 = 4 \)
    • \( 2 \times 4 = 8 \)
    • \( 9 - 8 = 1 \)

Now we have the evaluated results:

  1. (72 divide by 8) - 2 x 3 + 1 = 4
  2. 72 divide by (8 - 2) x 3 + 1 = 37
  3. 72 divide by (8 - 2) x (3 + 1) = 48
  4. 72 divide by 8 - 2 x (3 + 1) = 1

Now, we can arrange the results from least to greatest:

  1. 1 (from 72 divide by 8 - 2 x (3 + 1))
  2. 4 (from (72 divide by 8) - 2 x 3 + 1)
  3. 37 (from 72 divide by (8 - 2) x 3 + 1)
  4. 48 (from 72 divide by (8 - 2) x (3 + 1))

Final order from least to greatest: 1, 4, 37, 48