Question

If each □ was replaced with 100, which equation would be correct?

O 250.8 ÷ □ = 2.58
O 39.6 ÷ □ = 0.396
O 0.56 ÷ □ = 56
O 0.5 ÷ □ = 50

Answer 1

The correct equation when replacing each □ with 100 is 39.6 ÷ 100 = 0.396, because dividing by 100 moves the decimal point two places to the left.

Step-by-step explanation:

If each □ was replaced with 100, the correct equation would need to reflect the property that dividing a number by 100 moves the decimal point two places to the left. Let's test each equation by replacing □ with 100 and see if we get the numbers on the right side of the equations.

• 250.8 ÷ 100 = 2.508 (not 2.58, so incorrect)
• 39.6 ÷ 100 = 0.396 (this is correct)
• 0.56 ÷ 100 would move the decimal point two places to the left, not making it 56, so this is incorrect)
• 0.5 ÷ 100 would become 0.005, not 50, so this is also incorrect)

Therefore, the correct equation when □ is replaced with 100 is 39.6 ÷ 100 = 0.396.