use mental math and the distributive property to simplify 25(-99)and 19x21

Round the numbers so that they are easy to do you your head.

exsample for danny 25(-99) what is the answer thanks

What she is trying to say it, change the numbers into easier number that you can multipy in your head.

Change -99 to -100

Then the question would be 25(-100)
which is equal to -2500

but you added on a -25
so now you you have to add on a positive 25;

-2500+25=-2475

That should be the right answer.

Try doing the other one on your own.

To simplify the expression 25(-99) using mental math and the distributive property, you can think of it as multiplying 25 by -99. Here's how you can break it down:

Step 1: Using the distributive property, multiply 25 by each digit of -99 individually.
25 x (-9) = -225
25 x (-9) = -225
25 x (-9) = -225

Step 2: Add the results.
-225 + (-225) + (-225) = -675

Therefore, 25(-99) simplifies to -675.

Now let's move on to simplifying the expression 19x21 using mental math and the distributive property. Here's how you can do it:

Step 1: Break down 19x21 using the distributive property.
19 x (20 + 1)

Step 2: Multiply 19 by each number separately.
19 x 20 = 380
19 x 1 = 19

Step 3: Add the results.
380 + 19 = 399

Therefore, 19x21 simplifies to 399.