Use the estimation to determine which of the following numbers are between 4.5 and 4.9
To determine which numbers are between 4.5 and 4.9, we need to compare the given numbers to the range.
- 4.1 is less than 4.5 and therefore not between 4.5 and 4.9.
- 4.3 is less than 4.5 and therefore not between 4.5 and 4.9.
- 4.6 is between 4.5 and 4.9.
- 4.8 is between 4.5 and 4.9.
- 5.0 is greater than 4.9 and therefore not between 4.5 and 4.9.
Therefore, the numbers that are between 4.5 and 4.9 are 4.6 and 4.8.
To determine which numbers are between 4.5 and 4.9, we can use estimation.
First, let's round 4.5 to the nearest tenth. 4.5 is already at the nearest tenth.
Next, let's round 4.9 to the nearest tenth. 4.9 rounded to the nearest tenth would be 4.9.
Now that we have the limits, any number between 4.5 and 4.9 rounded to the nearest tenth will fall within this range.
For example:
- 4.6
- 4.7
- 4.8
These numbers are between 4.5 and 4.9. Any other numbers that are less than 4.5 or greater than 4.9 would not fall within this range.
To use estimation to determine which numbers are between 4.5 and 4.9, you can round the numbers to the nearest tenth. Then, check which numbers fall between 4.5 and 4.9 based on the resulting estimates.
Let's consider the numbers:
1. 4.3: Rounded to the nearest tenth, it becomes 4.3, which is less than the range 4.5 - 4.9. So, it is NOT between 4.5 and 4.9.
2. 4.6: Rounded to the nearest tenth, it becomes 4.6, which is between 4.5 and 4.9. Therefore, it is between 4.5 and 4.9.
3. 4.8: Rounded to the nearest tenth, it becomes 4.8, which is also between 4.5 and 4.9. So, it is between 4.5 and 4.9 as well.
4. 5.1: Rounded to the nearest tenth, it becomes 5.1, which is greater than the range 4.5 - 4.9. Hence, it is NOT between 4.5 and 4.9.
Based on this estimation, numbers 4.6 and 4.8 are between 4.5 and 4.9.