Given:
Steven wrote this equation:
[tex]4\times 18=418[/tex]
To find:
The error in Steven's reasoning and then find the correct product.
Solution:
We have,
[tex]4\times 18=418[/tex]
This statement is incorrect because we cannot write product directly as Steven wrote.
We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.
[tex]4\times 18=4\times (10+8)[/tex]
[tex]4\times 18=4\times 10+4\times 8[/tex]
[tex]4\times 18=40+32[/tex]
[tex]4\times 18=72[/tex]
Therefore, the correct product is 72.