list from least to greatest square root 7, square root 3,-0.3,-7/4,0.1
To order the given numbers from least to greatest, let's compare their values:
1. Start with the decimals:
-0.3, 0.1
2. Next, compare the fractions:
-7/4
3. Lastly, compare the square roots:
√3, √7
Putting it all together, the numbers from least to greatest are:
-7/4, -0.3, 0.1, √3, √7
To list the elements from least to greatest, we need to compare and arrange them in ascending order. Here's how we can do that:
1. Let's start with the given numbers: square root of 7, square root of 3, -0.3, -7/4, and 0.1.
2. Comparing the square root of 7 and the square root of 3:
- We know that √7 ≈ 2.65 and √3 ≈ 1.73.
- Since 1.73 < 2.65, we can say that the square root of 3 is smaller.
3. Comparing the square root of 3 and -0.3:
- We already established that the square root of 3 is smaller than 2.65.
- -0.3 is a negative number, and square root of 3 is positive.
- Any positive number is greater than any negative number.
- So, the square root of 3 is still smaller than -0.3.
4. Comparing -0.3 and -7/4:
- It's easier to compare fractions if we convert them to decimals, so let's do that.
- -7/4 ≈ -1.75
- Comparing -0.3 and -1.75:
- Since -0.3 > -1.75, we can say that -1.75 is smaller.
5. Comparing -1.75 and 0.1:
- Both numbers are negative, so the one with the greater absolute value is smaller.
- Since -1.75 has a greater absolute value, it is smaller than 0.1.
6. Putting all the numbers together from least to greatest:
- -1.75, the square root of 3, -0.3, 0.1, the square root of 7
So, the list from least to greatest is: -1.75, square root of 3, -0.3, 0.1, square root of 7.
find √7 and √3 on your calculator, change -7/4 to a decimal
Now you should be able to tell their relative size