Evaluate efficiently using properties of arithmetic operations

25 x 371 - 371 x 16 + 371

2 answers

We can begin by using the distributive property to factor out 371:

25 x 371 - 371 x 16 + 371 = 371(25 - 16) + 371

Next, we can simplify the expression inside the parentheses using the property of subtraction:

25 - 16 = 9

So now we have:

371(9) + 371

We can use the distributive property again to factor out 371:

371(9) + 371 = 371(9 + 1)

We can simplify the expression inside the parentheses:

9 + 1 = 10

So the final answer is:

371(10) = 3710
I would do it this way:
25 x 371 - 371 x 16 + 371
= 371(25 - 16 + 1)
= 371(10)
= 3710

but then again, I am way smarter than some silly bot