Evaluate 90*200

Problem

90×200

Solution

1. Identify the numbers to be multiplied, which are 90 and 200

2. Factor out the powers of ten to simplify the mental calculation by rewriting the expression as (9×10)×(2×100)

3. Rearrange the factors using the associative and commutative properties of multiplication to group the non-zero digits and the powers of ten together: (9×2)×(10×100)

4. Multiply the non-zero digits: 9×2=18

5. Multiply the powers of ten by counting the total number of zeros: 10×100=1000

6. Combine the results by multiplying 18 by 1000

Final Answer

90×200=18000

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