Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
From inside the book
Results 1-5 of 56
Page 19
... ten dollars , & c . , they are called concrete numbers . When they do not refer to any particular object , as when we say four and five are nine , they are called abstract numbers . 2. Whole numbers are often called integers . 3 ...
... ten dollars , & c . , they are called concrete numbers . When they do not refer to any particular object , as when we say four and five are nine , they are called abstract numbers . 2. Whole numbers are often called integers . 3 ...
Page 20
... ten . CX 66 one hundred and ten . ΧΙ " " eleven . CC 66 two hundred . XII 66 twelve . CCC 66 three hundred XIII 66 thirteen . CCCC 66 four hundred . XIV 66 fourteen . Ꭰ 66 five hundred . XV 66 fifteen . DC 66 six hundred . XVI 66 ...
... ten . CX 66 one hundred and ten . ΧΙ " " eleven . CC 66 two hundred . XII 66 twelve . CCC 66 three hundred XIII 66 thirteen . CCCC 66 four hundred . XIV 66 fourteen . Ꭰ 66 five hundred . XV 66 fifteen . DC 66 six hundred . XVI 66 ...
Page 21
... ten ; X , ten thousand , & c . OBS . 1. In the early periods of this notation , four was written IIII , instead of IV ; nine was written VIIII , instead of IX ; forty was written XXXX , instead of XL , & c . The former method is more ...
... ten ; X , ten thousand , & c . OBS . 1. In the early periods of this notation , four was written IIII , instead of IV ; nine was written VIIII , instead of IX ; forty was written XXXX , instead of XL , & c . The former method is more ...
Page 22
... tens , or ten ones ; that is , their value is ten times as much as when standing QUEST . - What are the first nine called ? Why ? What else are they called ? What is the last one called ? Why ? Obs . Is the cipher useless ? What may it ...
... tens , or ten ones ; that is , their value is ten times as much as when standing QUEST . - What are the first nine called ? Why ? What else are they called ? What is the last one called ? Why ? Obs . Is the cipher useless ? What may it ...
Page 23
... ten times as much as when standing in the third place , and they are called units of the fourth order , & c . Thus , it will be seen that , Ten units make one ten , ten tens make one hundred , and ten hun- dreds make one thousand ; that is ...
... ten times as much as when standing in the third place , and they are called units of the fourth order , & c . Thus , it will be seen that , Ten units make one ten , ten tens make one hundred , and ten hun- dreds make one thousand ; that is ...
Contents
215 | |
222 | |
226 | |
232 | |
238 | |
244 | |
252 | |
258 | |
71 | |
78 | |
85 | |
89 | |
102 | |
109 | |
114 | |
119 | |
130 | |
144 | |
154 | |
167 | |
169 | |
176 | |
183 | |
189 | |
192 | |
196 | |
206 | |
264 | |
270 | |
277 | |
283 | |
289 | |
295 | |
299 | |
307 | |
330 | |
338 | |
345 | |
351 | |
360 | |
367 | |
374 | |
381 | |
388 | |
394 | |
Common terms and phrases
acres added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 109 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 95 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
Page 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Page 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.