Michael scores 397 points on Level 1 of a video game. He scores 132 more points on Level 2. He then loses 246 points on Level 3. Use estimation to find how many points he has now.
Part A
I can round 397 to
400
.
I can round 132 to
130
.
I can round 246 to
250
.
Part B
Which of the following is a good estimate of the number of points Michael has now?
A.
280
B.
340
C.
370
D.
400 is this correct
No, 370 is the best estimate since we rounded the numbers to the nearest tens and subtracting 250 (which is closer to 246) from 530 (rounded total of the first two levels) gives an estimate of 280, which when subtracted from 530 gives an estimate of about 250, which when subtracted from 370 gives an estimate of about 120, which is close to 132 (rounded score for Level 2). Therefore, the best estimate would be 370.
To find an estimate of how many points Michael has now, we can add the rounded values of his scores together.
397 rounded to the nearest ten is 400.
132 rounded to the nearest ten is 130.
246 rounded to the nearest ten is 250.
Adding these rounded values together, we get:
400 + 130 + (-250) = 280.
Therefore, the estimate of the number of points Michael has now is 280 points. Therefore, option A is the correct estimate.
Based on the rounding estimations, the calculation would be as follows:
Level 1: 397 points (rounded to 400)
Level 2: 132 points (rounded to 130)
Level 3: -246 points (rounded to -250)
Subtotal: 400 + 130 - 250 = 280
So the correct answer is option A: 280.