Plot points on the number line to represent all whole number values that round to 200 when rounded to the nearest hundred and to 150 when rounded to the nearest ten.
I am not sure but please use this as a reference:
www.jiskha.com/questions/1522730/plot-points-on-the-number-line-to-represent-all-values-that-round-to-500-when-rounded-to
To represent all the whole number values that round to 200 when rounded to the nearest hundred and to 150 when rounded to the nearest ten, we need to consider the different ranges and their midpoint values.
First, let's consider rounding to the nearest hundred. To round to the nearest hundred, we look at the tens digit. If the tens digit is 5 or greater, we round up to the next hundred; otherwise, we round down.
To round to the nearest ten, we look at the ones digit. If the ones digit is 5 or greater, we round up to the next ten; otherwise, we round down.
Now, let's plot the points on the number line by considering the ranges:
1. To round to 200, we need the tens digit to be 0, 1, 2, 3, or 4. The midpoint value of this range is 200. So, we plot a point at 200 on the number line.
2. To round to 150, we need the ones digit to be 0, 1, 2, 3, or 4. The midpoint value of this range is 150. So, we plot a point at 150 on the number line.
Now, let's list all the whole number values that fall within these ranges:
-Rounding to the nearest hundred:
100, 101, 102, ..., 198, 199, 200, 201, ..., 299, 300, ...
-Rounding to the nearest ten:
145, 146, 147, ..., 152, 153, 154, 155, ..., 160, 161, ...
By comparing the two lists, we can find the whole number values that satisfy both conditions. These values are:
150, 151, 152, ..., 198, 199, 200
So, on the number line, we would plot all these points between 150 and 200 to represent the whole number values that round to 200 when rounded to the nearest hundred and to 150 when rounded to the nearest ten.