In Pre-Algebra today, we continued our work with square roots in class. The difference between today's lesson and yesterday's is that we did not work with perfect squares but rather began to work with square roots that did not work out to be perfect. Refer to the example of an Application Skill below.
PROBLEM
You
want to sew a fringe on a square tablecloth with an area of 500 square inches.
Calculate the length of each side of the tablecloth and the length of fringe
you will need to the nearest tenth of an inch.
UNDERSTAND THE PROBLEM
First find the length
of a side. Then you can use the length of a side to find the perimeter, the length of
fringe around the tablecloth.
MAKE A PLAN
The length of a side,
in feet, is the number that you multiply by itself to get 500. To be accurate,
find this number to the nearest tenth. If you do not know a step-by-step method
for finding 500, use guess and
check.
SOLVE
Because 500 is
between 222
and 232,
the square root of 500
is between 22 and 23.To round to the nearest tenth, look at the next decimal place.
Consider 15.85. 15.85 squared = 251.2225
The square root is lower than 15.85, so round down.
To the nearest tenth, the square root of 250 is about 15.8.
The length of each side of the garden is about 15.8 ft.
is between 22 and 23.To round to the nearest tenth, look at the next decimal place.
Consider 15.85. 15.85 squared = 251.2225
The square root is lower than 15.85, so round down.
To the nearest tenth, the square root of 250 is about 15.8.
The length of each side of the garden is about 15.8 ft.
| Squares and Square Roots |
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