A rounded number for the speed of an insect is 5.67 per second. What are the fastest and slowest speeds to the thousandths that could round to 5.67 meters per second?
5.665, 5.674
post it.
5.66
5.68
To determine the fastest and slowest speeds to the thousandths that could round to 5.67 meters per second, we need to understand how rounding works. Rounding involves approximating a number to a specified decimal place.
In this case, since we want to round to the thousandths place (3 decimal places), we will consider numbers to the nearest thousandth. The thousandth place is the third decimal place after the decimal point.
To find the fastest and slowest speeds that will round to 5.67, we will examine the numbers surrounding 5.67 when rounded to the thousandths place.
When rounding a number, we follow a general rule:
- If the digit in the next decimal place is 5 or greater, we round up (increasing the current decimal place value by 1).
- If the digit in the next decimal place is less than 5, we round down (keeping the current decimal place value as is).
Now, let's analyze the thousandth place:
In this case, the thousandth place is 7 (0.00 7 ).
To find the fastest rounded value, we need to check the digit in the next decimal place (hundredth place), which is 6 (0.00 7 6 ). Since 6 is greater than 5, we round up. Thus, the fastest rounded speed to the thousandths would be 5.676 meters per second.
To find the slowest rounded value, we again check the digit in the next decimal place (hundredth place), which is 6 (0.00 7 6 ). Since 6 is greater than 5, we round up (increase the thousandth place value by 1). Therefore, the slowest rounded speed to the thousandths would be 5.677 meters per second.
To summarize:
Fastest rounded speed to the thousandths: 5.676 meters per second
Slowest rounded speed to the thousandths: 5.677 meters per second