Plot points on the number line to represent all values that round to 500 when rounded to the nearest hundred and 450 when rounded to the nearest ten
it will be all points between 450-454
451 452 453 454 455 456 457 458 459
To find all values that round to 500 when rounded to the nearest hundred and 450 when rounded to the nearest ten, we can start by understanding the rules for rounding.
Rounding to the nearest hundred:
- If the tens digit is 5 or greater, the number is rounded up to the next hundred.
- If the tens digit is less than 5, the number is rounded down to the previous hundred.
Rounding to the nearest ten:
- If the units digit is 5 or greater, the number is rounded up to the next ten.
- If the units digit is less than 5, the number is rounded down to the previous ten.
To represent these values on the number line, let's start from the midpoint between 400 and 500, which is 450.
Step 1: Rounding to the nearest hundred
- The values that round to 500 when rounded to the nearest hundred are from 450 to 549 (rounded up to 500).
Step 2: Rounding to the nearest ten
- From the values above (450 to 549), we need to find the values that round to 450 when rounded to the nearest ten.
- When rounded to the nearest ten, the values from 450 to 454 (rounded down) and 455 to 459 (rounded up) both round to 450.
So, the values that round to 500 when rounded to the nearest hundred and 450 when rounded to the nearest ten are:
450, 451, 452, 453, 454, 455, 456, 457, 458, 459
You can represent these values on the number line between 400 and 500, marking each point at the specific values mentioned above.
To represent all values that round to 500 when rounded to the nearest hundred, we need to plot a range of numbers that are 50 units less and 50 units more than 500 on a number line.
First, locate the value 500 on the number line. Label it as "500". Then, move 50 units to the left of 500 and plot a point. Label this point as "450". Next, move 50 units to the right of 500 and plot another point. Label this point as "550".
Now let's consider the values that round to 450 when rounded to the nearest ten. These values will fall within the range from 445 to 454.
Locate the point labeled "450" on the number line. Move 5 units to the left of 450 and plot a point. Label this point as "445". Then, move 4 units to the right of 450 and plot another point. Label this point as "454".
So, you have two distinct points on the number line to represent the values that round to 500 when rounded to the nearest hundred and 450 when rounded to the nearest ten: "445" and "550".