Let's solve the problem of multiplying [tex]\(201,450\)[/tex] by [tex]\(37\)[/tex] step-by-step.
1. Write down the multiplication:
[tex]\[
201,450 \times 37
\][/tex]
2. Break down [tex]\(37\)[/tex] into [tex]\(30 + 7\)[/tex]:
[tex]\[
201,450 \times 37 = 201,450 \times (30 + 7)
\][/tex]
3. Distribute the multiplication over addition:
[tex]\[
201,450 \times 37 = (201,450 \times 30) + (201,450 \times 7)
\][/tex]
4. Calculate each term separately:
- First, calculate [tex]\(201,450 \times 30\)[/tex]:
[tex]\[
201,450 \times 30 = 6,043,500
\][/tex]
- Next, calculate [tex]\(201,450 \times 7\)[/tex]:
[tex]\[
201,450 \times 7 = 1,410,150
\][/tex]
5. Add the two results together:
[tex]\[
6,043,500 + 1,410,150 = 7,453,650
\][/tex]
So, the final result of multiplying [tex]\(201,450\)[/tex] by [tex]\(37\)[/tex] is:
[tex]\[
201,450 \times 37 = 7,453,650
\][/tex]
