Final answer:
Knowing 50x4=200 helps in finding 500 x 400 by scaling up the original multiplication by the respective factors of increase; since 500 is 10 times 50 and 400 is 100 times 4, the result is 200,000.
Step-by-step explanation:
Knowing that 50x4=200 can help in finding the result of 500 x 400 because it involves a similar multiplication process but at a larger scale. To find 500 x 400, recognize that 500 is 10 times greater than 50, and 400 is 100 times greater than 4. Therefore, you can multiply the known result, 200, by the scale factors of 10 and 100.
If 50x4=200, then:
- 500 (10 times greater than 50) x 4 would be 2000 (10 times greater than 200).
- Similarly, 500 x 40 (10 times greater than 4) would be 20000 (10 times greater than 2000).
- Therefore, 500 x 400, which is 100 times greater than the original 4, would be 200,000 (10 x 100 times greater than 200).
Thus, by scaling up the original multiplication equation by the respective factors of increase, we can find the product of larger numbers.