Answer :
We want to determine which option is equal to
[tex]$$137 \times 13.$$[/tex]
Step 1. Calculate the expression
Compute the product:
[tex]$$137 \times 13 = 1781.$$[/tex]
Step 2. Compare to each option
- Option A:
[tex]$$13 \times 137.$$[/tex]
Since multiplication is commutative, we have
[tex]$$13 \times 137 = 137 \times 13 = 1781.$$[/tex]
- Option B:
[tex]$$137 \div 13.$$[/tex]
This division yields approximately
[tex]$$\frac{137}{13} \approx 10.54,$$[/tex]
which is not equal to 1781.
- Option C:
[tex]$$13 \div 137.$$[/tex]
This division yields approximately
[tex]$$\frac{13}{137} \approx 0.095,$$[/tex]
which is not equal to 1781.
- Option D:
[tex]$$13 + 137.$$[/tex]
This sum equals
[tex]$$150,$$[/tex]
which is not equal to 1781.
Conclusion: Only Option A results in the value [tex]$1781$[/tex].
Thus, the expression equal to [tex]$137 \times 13$[/tex] is
[tex]$$\boxed{13 \times 137}.$$[/tex]
[tex]$$137 \times 13.$$[/tex]
Step 1. Calculate the expression
Compute the product:
[tex]$$137 \times 13 = 1781.$$[/tex]
Step 2. Compare to each option
- Option A:
[tex]$$13 \times 137.$$[/tex]
Since multiplication is commutative, we have
[tex]$$13 \times 137 = 137 \times 13 = 1781.$$[/tex]
- Option B:
[tex]$$137 \div 13.$$[/tex]
This division yields approximately
[tex]$$\frac{137}{13} \approx 10.54,$$[/tex]
which is not equal to 1781.
- Option C:
[tex]$$13 \div 137.$$[/tex]
This division yields approximately
[tex]$$\frac{13}{137} \approx 0.095,$$[/tex]
which is not equal to 1781.
- Option D:
[tex]$$13 + 137.$$[/tex]
This sum equals
[tex]$$150,$$[/tex]
which is not equal to 1781.
Conclusion: Only Option A results in the value [tex]$1781$[/tex].
Thus, the expression equal to [tex]$137 \times 13$[/tex] is
[tex]$$\boxed{13 \times 137}.$$[/tex]
