Evaluate efficiently using properties of arithmetic operations
25 x 371 - 371 x 16 + 371
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
To evaluate the given expression efficiently using properties of arithmetic operations, let's simplify each term step by step.
Step 1: Distribute the multiplication:
25 x 371 - 371 x 16 + 371
= (25 x 371) - (371 x 16) + 371
Step 2: Multiply:
25 x 371 = 9,275
371 x 16 = 5,936
Now, the expression becomes:
9,275 - 5,936 + 371
Step 3: Add and subtract:
9,275 - 5,936 + 371 = 3,339 + 371
= 3,710
Therefore, the value of the given expression is 3,710.
To evaluate the expression 25 x 371 - 371 x 16 + 371 efficiently using properties of arithmetic operations, we can apply the distributive property and combine like terms.
First, let's distribute the multiplication:
25 x 371 - 371 x 16 + 371
= (25 x 371) - (371 x 16) + 371
Now, let's calculate the multiplication:
= 9275 - 5936 + 371
Next, let's combine the like terms:
= 9275 - 5936 + 371
= 369 + 371
= 740
Therefore, the value of the expression 25 x 371 - 371 x 16 + 371 is 740.