The propose to round a number is to express the number in a more convenient way to use by sacrificing some of its accuracy.
Let's check the process to round a number.
Step 1. Identify the last digit you want to keep. For example, if you want to round 12.352 to the nearest hundred, then you the last digit you want to keep is 5.
Step 2.
- If the digit after the digit you want to keep is less than 5, then discard the digits after the digit you want to keep. For example, round 12.2312 to the nearest tenth. The nearest tenth is 2 and the digit after 2 is 3; since 3 is less than five, then we discard the digits after 2, so our rounded number is 12.2.
- If the digit after the digit you want to keep is five or bigger than five, then you should add 1 to the digit you want to keep. For example, round 12.345 to the nearest hundred. We ant to keep 4; the digit after 4 is 5, so we add 1 to four to get 12.5
Now let's apply what we've learnt to our problem.
Case 1. Fastest speed of the insect.
Notice that here we want to use 5.67; since we don't want to add 1 to 7, the next digit should be less than 5, so we can have: 5.671, 5.672, 5.673, or 5.674 (all of them round to 5.67)
Case 2. Slowest speed of the insect
The slowest speed of the insect is 5.66; since we want to round to 5.67, we want the next digit to be 5 or greater than 5, so e can have: 5.665, 5.666, 5.667, 5.668, or 5.669 (all them round from the slowest speed of the insect to 5.67)
We can conclude that
The fastest speeds to the thousandths that could round to 5.67 are 5.671, 5.672, 5.673, and 5.674
The slowest speeds to the thousandths that could round to 5.67 are 5.665, 5.666, 5.667, 5.668, and 5.669
Answer:
Fastest speed = 5.674 meters per second and the
Slowest speed = 5.665 meters per second
Step-by-step explanation:
The fastest speed in thousandths of the insect could be 5.674 m/s
Because, if the speed is 5.675 m/s, it will be rounded to 5.68 m/s.
Also, the slowest speed in thousandths could be 5.665 m/s.
Because, if the speed is 5.664 m/s, it will be rounded to 5.66 m/s.
Hence, the fastest speed is 5.674 m/s and the slowest speed is 5.665 m/s.
