using rounding or compatible numbers,which numbers would you choose to estimate the exact product of 25 times 25.
To estimate the exact product of 25 times 25 using rounding or compatible numbers, you can round each number to the nearest multiple of 10 or 100 and then multiply them.
Let's use rounding to the nearest multiple of 10:
1. Round 25 to the nearest multiple of 10: 25 rounds to 30.
2. Round 25 to the nearest multiple of 10: 25 also rounds to 30.
3. Multiply the rounded numbers: 30 times 30 equals 900.
So, by rounding each number to the nearest multiple of 10, we estimate that the product of 25 times 25 is approximately 900.
Alternatively, let's use compatible numbers:
1. Find compatible numbers that are easy to multiply and close to 25.
2. We can use 20 and 30 as compatible numbers.
3. Multiply the compatible numbers: 20 times 30 equals 600.
So, using compatible numbers, we estimate that the product of 25 times 25 is approximately 600.
"Estimating the exact product" seems like an oxymoron to me.
I don't see how one would get an exact answer by rounding.
Try using this:
(a -c)(b +c) = ab + (a-b)c - c^2
with a = 30, b = 20 and c = 5
25 * 25 = 600 + 50 - 25 = 625