This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1851 Excerpt: ...who received $750; required the whole estate. Ans. 812,000. XX. DECIMAL FRACTIONS. Art. 173. A Decimal Fraction is a fraction whose denominator is 10, 100, 1000, &c. Art. 174. Decimal fractions are commonly expressed by writing the numerator only with a point before it, called the decimal point or separatrix; thus, - ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1851 Excerpt: ...who received $750; required the whole estate. Ans. 812,000. XX. DECIMAL FRACTIONS. Art. 173. A Decimal Fraction is a fraction whose denominator is 10, 100, 1000, &c. Art. 174. Decimal fractions are commonly expressed by writing the numerator only with a point before it, called the decimal point or separatrix; thus, --fu is written and read.9 tenths. x%% " ."99 hundredths., $& " ."999 thousandths. Art. 175. By examining the foregoing fractions, it will be seen that fv =.9 can occupy only one place while it remains a proper fraction;-ft =.99, only two places; and-rWir =.999, only three places; for, if their numerators are increased by-j =.1, -ry =.01, -nnnr =.001, respectively, each fraction becomes a unit or whole number. Hence, The first figure or place of any decimal on the right of the point is tenths, the second hundredths, the third thousandths, fyc. Note.--When a decimal place has no significant figure, it must be filled with a cipher. Art. 176. The denominator of-=.9 is 1 with one cipher annexed; the denominator of-frr =-99 is 1 with two ciphers annexed; the denominator of T9rnnr---999 is 1 with three ciphers annexed. Hence, The denominator of a decimal fraction is 1 with as many ciphers annexed as the numerator has places. Art. 177. Decimal fractions originate from dividing the unit, first, into 10 equal parts, and then each of these parts into 10 other equal parts, and so on indefinitely. Thus, 1-r-10 = To-=.1; t'q--+-10 = TTny =.01;.001. Hence, The unit in decimal fractions is divided into 10, 100, 1000, SfC, equal parts. Questions.--Art. 173. What is a decimal fraction?--Art. 174. How are decimal fractions commonly expressed?--Art. 175. What is the first figure or place of any decimal? The second? The third? &c. ...
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