Question

Members of a cross-country track team ran 142 kilometers one week. The next week the team members ran 14 more kilometers than they ran the first week. Round 142 to the nearest ten and to the nearest hundred. Give two estimates for the number of the kilometers the team ran in the two weeks. Which estimate is closer to the actual number of kilometers the team ran?

Answer 1

Nearest Tens

Step-by-step explanation

We want to first round 142 to the nearest ten and the nearest hundred.

Rounding 142 to the nearest ten, we pick the number after the number in the tens place value, that is 2.

Since it is less than 5, we have to round it to 0. So, we add it to 4:

142 becomes 140.

Rounding 142 to the nearest hundred, we pick the number after the number in the hundred place value, tht is 4.

Since it is also less than 5, we have to round it to 0 and add it to 1:

142 becomes 100.

NEAREST NEAREST TENS

They ran 14 kilometers more the next week, so we add 14 to 140 to get the estimate of the kilometers they ran the second week.

That is:

140 + 14 = 154 kilometers

Now, add it to the first week:

Total distance = 140 + 154 = 294 kilometers

NEAREST NEARESTS

We add 14 to the estimate of the first week to get the distance for the second week :

14 + 100 = 114 kilometers

Now, add it to the first week:

Total distance = 100 + 114 = 214 kilometers

The actual value of the total distance they ran is:

(142 + 14) + 142 = 298 kilometers

So, we see that the estimate that is closer to the actual number of kilometers the team ran is the estimate to the nearest tens.

We add 14 to the estoim