Question

Sergei estimated 149% of 67 by performing the following steps. Which statement is true?

(70)(150%)
- (70)(100% + 50%)
- (70)(100%) + (70)(50%)
- (70)(1)+ (70) )
- 70+35
- 105
The estimate is less than the actual answer because the percent and the number were both rounded down.
The estimate is less than the actual answer because the percent and the number were both rounded up.
The estimate is greater than the actual answer because the percent and the number were both rounded down.
The estimate is greater than the actual answer because the percent and the number were both rounded up.

Answer 1

D

Explanation:

I did it on Edgen 2020

Answer 2

Answer: Last option.

Explanation:

In order to estimate the percent "n" of a number"x", you need easy numbers to work with, therefore you can round "n" and "x" up or down; but it is important to remember that this estimation does not give you an exact value.

You can observe that Sergei's first step was to round 149% and 67 up, getting this result:

`=105`

To verify if this estimate is less or greater than the actual answer, we can find the actual answer. This is:

`(67*149)/(100)=99.83`

Therefore, we can conclude that the estimate is greater than the actual answer because the percent and the number were both rounded up.