Certainly! Let's solve each of the equations step by step.
### First Column:
1. Equation: [tex]\( 153 + 62 = 62 + \square \)[/tex]
- Since addition is commutative ([tex]\( a + b = b + a \)[/tex]), the missing number must be [tex]\( 153 \)[/tex].
- Solution: [tex]\( \square = 153 \)[/tex]
2. Equation: [tex]\( 50 + 23 = 23 + \square \)[/tex]
- Again, due to the commutative property of addition, the missing number must be [tex]\( 50 \)[/tex].
- Solution: [tex]\( \square = 50 \)[/tex]
3. Equation: [tex]\( 33 + 33 = 11 \times \square \)[/tex]
- First, calculate [tex]\( 33 + 33 \)[/tex]:
[tex]\[ 33 + 33 = 66 \][/tex]
- Now, we need to find the missing number for the multiplication equation:
[tex]\[ 66 = 11 \times \square \][/tex]
- Solve for [tex]\( \square \)[/tex]:
[tex]\[ \square = \frac{66}{11} = 6 \][/tex]
- Solution: [tex]\( \square = 6 \)[/tex]
### Second Column:
1. Equation: [tex]\( 17 \times 2 = 2 \times \square \)[/tex]
- Since multiplication is commutative ([tex]\( a \times b = b \times a \)[/tex]), the missing number must be [tex]\( 17 \)[/tex].
- Solution: [tex]\( \square = 17 \)[/tex]
2. Equation: [tex]\( 75 \times 5 = 15 \times \square \)[/tex]
- First, calculate [tex]\( 75 \times 5 \)[/tex]:
[tex]\[ 75 \times 5 = 375 \][/tex]
- Now, we need to find the missing number for the multiplication equation:
[tex]\[ 375 = 15 \times \square \][/tex]
- Solve for [tex]\( \square \)[/tex]:
[tex]\[ \square = \frac{375}{15} = 25 \][/tex]
- Solution: [tex]\( \square = 25 \)[/tex]
3. Equation: [tex]\( 230 \times 4 = \square \)[/tex]
- Calculate [tex]\( 230 \times 4 \)[/tex]:
[tex]\[ 230 \times 4 = 920 \][/tex]
- Solution: [tex]\( \square = 920 \)[/tex]
### Summary of Solutions:
[tex]\[
\begin{array}{|l|}
\hline
153 + 62 = 62 + 153 \\
50 + 23 = 23 + 50 \\
33 + 33 = 11 \times 6 \\
\hline
17 \times 2 = 2 \times 17 \\
75 \times 5 = 15 \times 25 \\
230 \times 4 = 920 \\
\hline
\end{array}
\][/tex]
Thus, the missing numbers are:
- [tex]\( 153 \)[/tex]
- [tex]\( 50 \)[/tex]
- [tex]\( 6 \)[/tex]
- [tex]\( 17 \)[/tex]
- [tex]\( 25 \)[/tex]
- [tex]\( 920 \)[/tex]
