# Daniel scored 162 points playing his video game.he can move to the next level of the game when he earns 275 points exactly. daniel says he needs about 100 points to get to the next level his friend Valerie says he needs about a 120 points to get to the next level explain why both of their estimates are correct. use what you know about estimation and rounding in your explanation

## "About 100" puts Dan at 262, which is close, but not exact.

120 puts Dan at 282, which is more than enough, but still "about 275."

Both round to 300.

## Both Daniel and Valerie have made estimates based on the concept of rounding and estimation.

When Daniel says he needs about 100 points to get to the next level, he has rounded down from his actual score of 162 to the nearest hundred, which is 100. Rounding down in this case means that he assumes he would need only 100 more points to reach 200. This estimate is correct because if he were to earn exactly 100 more points, his score would be 262, which is still less than the target of 275 points. So, in order to reach the next level, he would need to earn a little more than 100 points, but his estimate is reasonable.

On the other hand, Valerie estimated that Daniel needs about 120 points to reach the next level. This estimate is based on rounding up. She rounded up Daniel's score of 162 to the nearest hundred, which is 200. Then, she estimated that he would need 75 more points to reach 275. While her estimate of 120 points is slightly higher than Daniel's, it is still a reasonable estimate because earning exactly 120 more points would bring Daniel's score to 282, which is above the target of 275 points. Therefore, Valerie's estimate is also considered correct.

In summary, both Daniel and Valerie made reasonable estimates based on rounding and estimation. They rounded Daniel's score differently and estimated the remaining points needed to reach the next level. Although their estimates differ slightly, they are both correct in the sense that they fall within a reasonable range of what Daniel actually needs to reach the next level.