P is the least common multiple of 45 and 50. What is the value of10P +...
To find the least common multiple (LCM) of two numbers, we need to find the smallest multiple that is common to both numbers. In this case, we need to find the LCM of 45 and 50.
Finding the LCM of 45 and 50:
To find the LCM, we can start by listing the multiples of each number and looking for the smallest common multiple.
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, ...
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, ...
From the lists above, we can see that the smallest common multiple of 45 and 50 is 450. Therefore, the LCM of 45 and 50 is 450.
Finding the value of 10P 100:
To find the value of 10P 100, we need to calculate the product of 10 and 100.
10P 100 = 10 * 100 = 1000
Therefore, the value of 10P 100 is 1000.
Conclusion:
The least common multiple of 45 and 50 is 450, and the value of 10P 100 is 1000. Therefore, the correct answer is option B, 4600.