To solve the multiplication of [tex]\(37 \times 26\)[/tex], we can break it down into simpler steps to make it more manageable.
1. Multiply [tex]\(37\)[/tex] by the units digit of [tex]\(26\)[/tex]:
- The units digit of [tex]\(26\)[/tex] is [tex]\(6\)[/tex].
- [tex]\(37 \times 6 = 222\)[/tex].
2. Multiply [tex]\(37\)[/tex] by the tens digit of [tex]\(26\)[/tex]:
- The tens digit of [tex]\(26\)[/tex] is [tex]\(2\)[/tex], which actually represents [tex]\(20\)[/tex] since it's in the tens place.
- [tex]\(37 \times 20 = 740\)[/tex].
3. Add the two partial products:
- We have [tex]\(222\)[/tex] from the first step and [tex]\(740\)[/tex] from the second step.
- [tex]\(222 + 740 = 962\)[/tex].
So, the product of [tex]\(37 \times 26\)[/tex] is [tex]\(962\)[/tex].