American Comprehensive Arithmetic |
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Page 21
... digits whose sums are 10 to 19 should be learned so that the results can be recognized and called at a glance . 8 5 47 6 6 Thus : 8 should be recognized as 8 , 13 ; 3 as 9 , 15 ; etc. 1 1001 9541 9321 4781 734 | 4 03521 412 | 3644 | 4 2 ...
... digits whose sums are 10 to 19 should be learned so that the results can be recognized and called at a glance . 8 5 47 6 6 Thus : 8 should be recognized as 8 , 13 ; 3 as 9 , 15 ; etc. 1 1001 9541 9321 4781 734 | 4 03521 412 | 3644 | 4 2 ...
Page 69
... digits is divisible by 8 . A number is divisible by 3 , when the sum of its digits is divisible by 3 . A number is divisible by 9 , when the sum of its digits is divisible by 9 . A number is divisible by 11 , when the difference between ...
... digits is divisible by 8 . A number is divisible by 3 , when the sum of its digits is divisible by 3 . A number is divisible by 9 , when the sum of its digits is divisible by 9 . A number is divisible by 11 , when the difference between ...
Page 79
... digits of the first addend , 5 , 11 , 18 , 26 ; then the digits of the sum , 26 , and write 8 . This is the excess of the 9's , for 5678 ÷ 9 gives 8 for a remainder . We proceed in the same way with the other addends : 4 , 13 , 16 , 20 ...
... digits of the first addend , 5 , 11 , 18 , 26 ; then the digits of the sum , 26 , and write 8 . This is the excess of the 9's , for 5678 ÷ 9 gives 8 for a remainder . We proceed in the same way with the other addends : 4 , 13 , 16 , 20 ...
Page 80
... digits is divided by 4 ? Give the rule . 168. When 13,825 , or 13,000 + 825 , is divided by 8 , why is the remainder the same as when the number denoted by its last three digits is divided by 8 ? Give the rule . 169. What is the ...
... digits is divided by 4 ? Give the rule . 168. When 13,825 , or 13,000 + 825 , is divided by 8 , why is the remainder the same as when the number denoted by its last three digits is divided by 8 ? Give the rule . 169. What is the ...
Page 81
... digits in the odd places minus the sum of the digits in the even places , is divided by 11 ? 70,000 + 300 + 6 exceeds a multiple of 11 by 7 + 3 + 6 ( Ex . 176 ) ; 5000 + 10 lacks 5 + 1 of being a multiple of 11 ( Ex . 175 ) ; 75,316 ...
... digits in the odd places minus the sum of the digits in the even places , is divided by 11 ? 70,000 + 300 + 6 exceeds a multiple of 11 by 7 + 3 + 6 ( Ex . 176 ) ; 5000 + 10 lacks 5 + 1 of being a multiple of 11 ( Ex . 175 ) ; 75,316 ...
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ab² acres addend altitude angles apothem apples cost avoirdupois base bought brokerage bushels carpet cash cents circle circumference commission common fraction compound interest cone contained convex surface corn cube root decimal periods decimal places denominator digits divided dividend divisible divisor dollars eggs equal equation extract the cube extract the square factor figures Find the amount Find the value frustum gain Given terms horse hound hundred income integer interest of $1 investment James Lyman least common multiple marked price miles multiply NOTE number denoted par value payment periods principal prism proceeds proportion pyramid quotient radius ratio rectangle Reduce regular polygon Relation remainder required term rhombus selling price sides slant height sold square pyramid square root subtract triangle true discount units weight write yard
Popular passages
Page 254 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 107 - Multiply as in whole numbers, and point off as many decimal places in the product as there are decimal places in the multiplicand and multiplier, supplying the deficiency, if any, by prefixing ciphers.
Page 224 - Courts have adopted the following, called the UNITED STATES RULE. Find the amount of the principal to the time of the first payment ; if the payment equals or exceeds the interest, subtract it from the amount, and regard the remainder as a new principal.
Page 90 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 272 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 273 - The area of a triangle is equal to one half 'the product of its base and altitude.
Page 8 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
Page 69 - A number is divisible by 9, when the sum of its digits is divisible by 9.
Page 176 - M shown in the operation. 2. 5 compositors, in 16 days, of 14 hours each, can compose 20 sheets of 24 pages in each sheet, 50 lines in a page, and 40 letters in a line ; in...
Page 86 - Multiplying or dividing both numerator and denominator by the same number does not change the value of the fraction.