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

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