Answer:
1 9/40
Step-by-step explanation:
Any calculator can tell you the sum is ...
1 + 2/16 + 0.6 - 1/2 = 1.225
The decimal fraction can be reduced, if you like:
225/1000 = (25)(9)/(25(40)) = 9/40
As a mixed number, the sum is 1 9/40.
__
Alternate solution
1 2/16 + 0.6 -1/2 = 1 1/8 + (6/10 -5/10) = 1 1/8 + 1/10
= 1 + (1/8 +1/10) = 1 +(5/40 +4/40) = 1 9/40
Answer:
53 lies between 7.2² and 7.3²
Step-by-step explanation:
Estimating a root to the nearest tenth can be done a number of ways. The method shown here is to identify the tenths whose squares bracket the value of interest.
You have answered the questions of parts 1 to 3.
__
<h3>4.</h3>You are given that ...
7.2² = 51.84
7.3² = 53.29
This means 53 lies between 7.2² and 7.3², so √53 lies between 7.2 and 7.3.
53 is closer to 7.3², so √53 will be closer to 7.3 than to 7.2.
7.3 is a good estimate of √53 to the tenths place.
_____
<em>Additional comment</em>
For an integer n that is the sum of a perfect square (s²) and a remainder (r), the square root is between ...
s +r/(2s+1) < √n < s +r/(2s)
For n = 53 = 7² +4, this means ...
7 +4/15 < √53 < 7 +4/14
7.267 < √53 < 7.286
Either way, √53 ≈ 7.3.
__
The root is actually equal to the continued fraction ...
