To solve [tex]\(50 \times 100\)[/tex], let's break the multiplication into steps:
1. Write down the numbers: We have the numbers 50 and 100.
2. Perform the multiplication: Multiply 50 by 100.
- When multiplying, we start by recognizing that 100 can be represented as [tex]\(10^2\)[/tex] (which means 100 is 10 squared).
- We can also represent 50 as [tex]\(5 \times 10\)[/tex].
Given these representations, the multiplication becomes interactive:
[tex]\[ 50 \times 100 = (5 \times 10) \times (10 \times 10) \][/tex]
3. Reorganize multiplication (associative property):
[tex]\[ (5 \times 10) \times (10 \times 10) = 5 \times (10 \times 10) \times 10 = 5 \times 1000\][/tex]
4. Final multiplication:
Now, multiply 5 by 1000:
[tex]\[ 5 \times 1000 = 5000 \][/tex]
Thus, the result of [tex]\(50 \times 100\)[/tex] is [tex]\(5000\)[/tex].