To complete the equations correctly, we can examine the effect of decimal placement on the numbers involved.
Equation 1:
74.36 ÷ ◻︎ = 57.2
We can rewrite this as:
\( 74.36 = 57.2 \times ◻︎ \)
To find ◻︎, we can rearrange the equation:
\( ◻︎ = \frac{74.36}{57.2} \)
Calculating the division:
\( ◻︎ = 1.3 \)
Equation 2:
743.6 ÷ ◻︎ = 5720
Rearranging gives:
\( ◻︎ = \frac{743.6}{5720} \)
Calculating the division:
\( ◻︎ ≈ 0.13 \)
Equation 3:
7.436 ÷ ◻︎ = 0.572
Rearranging gives:
\( ◻︎ = \frac{7.436}{0.572} \)
Calculating the division:
\( ◻︎ ≈ 13 \)
Equation 4:
0.7436 ÷ ◻︎ = 5.72
Rearranging gives:
\( ◻︎ = \frac{0.7436}{5.72} \)
Calculating the division:
\( ◻︎ ≈ 0.13 \)
We have derived potential values for ◻︎ in each equation:
- For Equation 1: ◻︎ = 1.3
- For Equation 2: ◻︎ = 0.13
- For Equation 3: ◻︎ = 13
- For Equation 4: ◻︎ = 0.13
Conclusions:
- The values for ◻︎ are 1.3 for Equation 1, 0.13 for Equation 2 and Equation 4, and 13 for Equation 3.
- The options given are:
- A) 0.13
- B) 1.3
- C) 13
Each answer corresponds to at least one of the equations:
- Use A (0.13) for Equations 2 and 4.
- Use B (1.3) for Equation 1.
- Use C (13) for Equation 3.
Thus, all three options A, B, and C correctly fill other equations based on their placements.