FRAME 5-29
Solution to
In case you had difficulty with the square roots given in Frame 5-28, the
Frame 5-28
problems are worked in greater detail below.
a. between 300 and
a.
149,769
400
(actual square root
(1) Pair off beginning at the decimal point
is 387)
149,769. = (14)(97)(69)
(2) Largest perfect square not over 14 is 9. Square root
b. 800 (exact)
of 9 is 3.
(3) Replace
c. between 100 and
200
(4) low
(14)(97)(69) (3)(0)(0) 300
(actual approximate
square root is
(5) high
(3+1)(0)(0) 400
189.7366596...)
(6) The actual square root of 149,769 is more than 300 and less
than 400. (See Frame 5-27)
b.
640,000
(1) Pair off beginning at the decimal point
640,000. = (64)(00)(00)
(2) Largest perfect square not over 64 is 64. Square root
of 64 is 8.
(3) Replace
(4) low
(64)(00)(00) (8)(0)(0) 800
Stop calculations. Based upon the NOTE, 800 is the exact square
root of 640,000.
c.
36,000
(1) Pair off beginning at the decimal point
36,000. = (3)(60)(00)
(2) Largest perfect square not over 3 is 1. Square root of 1 is 1.
(3) Replace
(4) low
(3)(60)(00) (1)(0)(0) 100
(5) high
(1+1)(0)(0) 200
(6) The actual square root of 36,000 is more than 100 and less
than 200. (Were you tricked because the square root of 36 is
6? Remember, you must begin paring off starting at the
decimal point.)
MD0900
5-18