The Teachers' Assistant: Or a System of Practical Arithmetic |
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Page 10
... PROOF . Perform the addition downwards . 4 1 3 3 EXAMPLES . 4 8 3 2 5130 4 2 1 1 3022 8 3 2 1 8523 4320 974 3 4 0 6 0 1 0 7244 207240 Amount 1 9 6 8 7 30 34 2 62270 0 1891 2 1 2 2 4 4 1 80 1 2 3 3 3 1 3 3 6 60 90 322 2 4 20 4 1 70 70 23 ...
... PROOF . Perform the addition downwards . 4 1 3 3 EXAMPLES . 4 8 3 2 5130 4 2 1 1 3022 8 3 2 1 8523 4320 974 3 4 0 6 0 1 0 7244 207240 Amount 1 9 6 8 7 30 34 2 62270 0 1891 2 1 2 2 4 4 1 80 1 2 3 3 3 1 3 3 6 60 90 322 2 4 20 4 1 70 70 23 ...
Page 12
... PROOF . Add the remainder to the less number , and their amount will be equal to the greater . From Take 2568 1 3 2 6 EXAMPLES . 4 4 2 1 38 79 5 4 1 0 3.0 0 7 6 2000806 Remainder 1 2 4 2 5 4 2 5 3 9 0 2 9 270 4 3 9 5 87 2 1 17 4 9 152 ...
... PROOF . Add the remainder to the less number , and their amount will be equal to the greater . From Take 2568 1 3 2 6 EXAMPLES . 4 4 2 1 38 79 5 4 1 0 3.0 0 7 6 2000806 Remainder 1 2 4 2 5 4 2 5 3 9 0 2 9 270 4 3 9 5 87 2 1 17 4 9 152 ...
Page 15
... PROOF . Multiply by double the multiplier , and the product will be double the former product . EXAMPLES . Multiplicand 2 4 3 Multiplier 274 20052 2 3 4 40092 1 2 Product 4 86 822 80208 4 8 1 1 0 4 1 2 292 38 60 112 2 3 -4 3 245 6 209 2 ...
... PROOF . Multiply by double the multiplier , and the product will be double the former product . EXAMPLES . Multiplicand 2 4 3 Multiplier 274 20052 2 3 4 40092 1 2 Product 4 86 822 80208 4 8 1 1 0 4 1 2 292 38 60 112 2 3 -4 3 245 6 209 2 ...
Page 18
... PROOF . Multiply the quotient by the divisor , and to their product add the remainder ( if any ) and the result will be equal to the dividend . EXAMPLES . Dividend Divisor 3 ) 963 5 ) 2960 12 ) 112813 12 ) 970811280 Quotient 321 392 ...
... PROOF . Multiply the quotient by the divisor , and to their product add the remainder ( if any ) and the result will be equal to the dividend . EXAMPLES . Dividend Divisor 3 ) 963 5 ) 2960 12 ) 112813 12 ) 970811280 Quotient 321 392 ...
Page 19
... PROOF . As under Rule I. EXAMPLES . Quotient Divisor Dividend 320 ) 12864016081 ( 40200050 1280 42 ) 9870 ( 235 84 147 126 210 210 640 640 1608 1600 Remainder 81 1. Divide 4633 by 41 Facit 113 2 . 2303 by 49 47 3 . 465 by 27 4 . 40231 ...
... PROOF . As under Rule I. EXAMPLES . Quotient Divisor Dividend 320 ) 12864016081 ( 40200050 1280 42 ) 9870 ( 235 84 147 126 210 210 640 640 1608 1600 Remainder 81 1. Divide 4633 by 41 Facit 113 2 . 2303 by 49 47 3 . 465 by 27 4 . 40231 ...
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Common terms and phrases
15 yards 2qrs 3qrs acres aliquot amount annuity annum answer Bought Bring bushels casks cent to cents cents per lb ciphers common difference compound interest contained cube root decimal divide dividend divisor dollars per cent dols drams DRY MEASURE English ells EXAMPLES Facit farthings Federal Money fourths furlongs gain gallons given number given sum hogsheads hundred weight improper fraction inches merchant miles millions mixed number months Multiply nails neat weight Note number of terms Oqrs ounces paid pecks pence Pennsylvania currency penny pennyweights pieces pint pounds present worth principal PROOF quarters quarts quotient rate per cent Reduce remainder Result roods Rule of Three shillings sold square root sterling Subtract sum or quantity TABLE tare thousand TROY WEIGHT tuns VULGAR FRACTIONS whole number yards cost yards of cloth yards of linen yards of muslin
Popular passages
Page 173 - When the two extremes and number of terms are given, to find the common difference. RULE. Divide the difference of the extremes by the number of terms, less one; the quotient will be the common difference.
Page 170 - ... cents for every day he was idle ; at settlement he received 5 dollars. How many days did he work. and how many days was he idle ? Ans.
Page 190 - Feet multiplied by feet, give feet. Feet multiplied by inches, give inches. Feet multiplied by seconds, give seconds. Inches multiplied by inches, give seconds. Inches multiplied by seconds, give thirds. Seconds multiplied "by seconds, give fourths.
Page 99 - RULE.* Multiply the principal by the 'rate per cent, and divide the product by 100: the quotient will be the interest for 1 year.
Page 37 - TIME. 60 seconds (sec.} make - 1 minute min. 60 minutes « - - - 1 hour H. 24 hours - - . • - 1 day D.
Page 132 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 131 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 169 - Suppose two numbers, and work with each agreeably to the tenor of the question, noting the errors of the results : multiply the errors of each operation into the supposed number of the other ; then, If the errors be alike, i.
Page 129 - The number above the line is called the numerator, and that below the line the denominator. The denominator...
Page 155 - INVOLUTION, OR THE RAISING OF POWERS. A power is the product arising from multiplying any given number into itself continually a certain number of times ; thus, 2x2= 4 the second power or square of 2.