Estimate each of the following and then use a calculator to find the actual answer:

a: 343+ -42 - 402
b: -1992 + 3005 - 497
c: 992 - -10,003 - 101
d: -301 - -1303 + 4993

What are your estimates?

343+ -42 - 402
My estimate is -102
Actual answer = -101

I'll be glad to check your answers.

That is what I had for the first one. Wanted to make sure I was doing it correctly.

Don't worry too much if your estimate is far different from the actual answer. We learn by making mistakes. :-)

To estimate each of the given expressions, we can round the numbers to the nearest hundred, thousand, or any other significant place value. Then, we can use a calculator to find the exact answers.

a: 343 + (-42) - 402
We can estimate each number by rounding them to the nearest ten:
Round: 340 + (-40) - 400
Using a calculator, the exact answer is:
Exact: 343 + (-42) - 402 = -101

b: -1992 + 3005 - 497
We can estimate each number by rounding them to the nearest hundred:
Round: -2000 + 3000 - 500
Using a calculator, the exact answer is:
Exact: -1992 + 3005 - 497 = 516

c: 992 - (-10,003) - 101
We can estimate each number by rounding them to the nearest thousand:
Round: 1000 - (-10,000) - 100
Using a calculator, the exact answer is:
Exact: 992 - (-10,003) - 101 = 9,996

d: -301 - (-1303) + 4993
We can estimate each number by rounding them to the nearest hundred:
Round: -300 - (-1300) + 5000
Using a calculator, the exact answer is:
Exact: -301 - (-1303) + 4993 = 5,989

It's important to note that estimations may not always provide the exact answer, but they are useful for getting a rough idea of the result before using a calculator for precise calculations.