How to multiply 208 by 37?
208 x 37 =
(200 + 8) x (40 - 3) =
200x40 - 200x3 + 8x40 - 8x3 =
8000 - 600 + 320 - 24 =
7400 + 320 - 20 - 4 =
7400 + 300 - 4 =
7700 - 4 =
7696
208
x37
____
1456
624
----
7696
To multiply 208 by 37, you can use the long multiplication method. Here's how:
1. Write down the two numbers, aligning them vertically:
208
x 37
-----
2. Start by multiplying the rightmost digit of the second number (7) by each digit of the first number (starting from the right):
7 x 8 = 56 (write down the 6, carry over the 5)
7 x 0 = 0 (write down the 0)
7 x 2 = 14 (write down the 4, carry over the 1)
3. Move to the next digit of the second number, and repeat the process, but with an additional zero at the end:
3 x 8 = 24 (write down the 4, carry over the 2)
3 x 0 = 0 (write down the 0)
3 x 2 = 6 (write down the 6)
4. Finally, add up the partial products:
6 (from step 3)
+ 40 (partial product from digit 2)
+ 1,400 (partial product from digit 1)
------
7,696
Therefore, 208 multiplied by 37 is equal to 7,696.