.4 is smallest, 1/2 , then 60% is greatest.
AB = sqrt(10^2 - 4^2) = sqrt(100 - 16) = sqrt(84) = sqrt(4 x 21) = 2sqrt(21) = 2 radical 21.
First, let's see how 23 compares with the squares of the positive whole numbers on the number line.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
The value of 23 is right between the square of 4 and the square of 5. Thus, the value √23 will be between 4 and 5.
Since 23 is much, much closer to the square of 5 than the square of 4, we can assume that the value √23 will be closer to 5 on the number line than 4.
Look at the attached image to see where I plotted the approximate location of √23.
You will realize that this approximation is pretty close since the actual value is roughly 4.80.
Let me know if you need any clarifications, thanks!
<u>Part 1)</u> "Four times the difference of a number and
is
"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 1) is</u>

<u>Part 2)</u> "One third of a number is
less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 2) is</u>

<u>Part 3)</u> "Ten increased by the quotient of a number and
is
"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 3) is</u>

<u>Part 4)</u> "One less than the product of a number and
is
more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 4) is</u>

The answer is rotation and this is a sure that its a rotation