How is subtraction proved.... What observation is made with respect to borrowing and carrying, and of proceeding from right to left S What is Multiplication.. What are the names of the factors... What is the answer called...... What is the sign of multiplication Repeat the general rule... ..... How is multiplication proved. When the multiplier is 10, 100, 1000, and how is the How, when the multiplier is 11, 111, 101, &c...), How when the multiplier is 112, 113, 114, &c. ..... 23 To what particular rule may this last rule be usefully applied.... If the multiplier is 21, 31, 201, &c. how is the operation performed... When the multiplier is a component number or the product of two or more,numbers, how is the work performed... When some of the figures or numbers of the multiplier are multiples or products of the other figures therein, how in general may the work be shortened. How may multiplication be performed by addition only.. What is the use of this last method.... What is Division Explain the terms of dividend, divisor, quotient and remainder.... What is the sign of Division Give an example . } ib ib ib 24 25 ib What is to be done with the remainder when division When the divisor does not exceed 12 how is the work performed... When the divisoris 10, 100, 1000, &c. how is division performed.. How, when the divisor is any digit with ciphers an- How may we proceed when the divisor is large. When the divisor is a component number or the pro- What is the rule for finding the true remainder when the divisor is a component number...... ... If the divisor be a mixed number how is division performed... ..... .... How do we proceed when we divide by a greater or With what particular multipliers may these abbrevi- How may multiplication be employed to shorten division... With what particular divisors may these abbreviations be usefully employed... What are Compound numbers...... How is compound addition performed... Repeat the several tables of money, weights and measures.. Repeat the table of the divisions made use of in the sale of corn or grain... What observation is made relative to these articles ... ib What is a solar year...... 61. What is a julian year........ How is the year divided How may the length of the calendar months be be} remembered..... How is leap-year found.... How is Compound Subtraction performed.. ..... ....... When the multiplier is 13, 17, 19, or 23, how may the work be performed.. When the multiplier is greater than 23 and not a composite number.... How otherwise may we proceed is 2 75 } When the multiplier is 10, 100, 1000 &c. how is How may we proceed when the multiplier is large.......... When the divisor is a composite number, how is the When the divisor is greater than 12 and not a How may multiplication by a mixed number be To what uses may Addition in general be applied 88 (see Practical Questions). · To what uses may Subtraction in general be applied} (see Practical Questions) 91 be} To what uses may Multiplication in general be applied (see Practical Questions).. What is the Square or second power of any number.... How is it expressed... What is the fourth, fifth or higher power of Page, What is the cube or third power of any number... 95 How is it expressed.... How are numbers of higher denominations brought to those of a lower denomination*.... What are the particular rules for bringing cwts. qrs. and lbs. into pounds.. ..... How may multiplication be farther applied., applied} 97 99 To what uses may division in general be applied 104 (see practical questions)..... How are numbers of lower denominations brought to What is the rule for finding the number of pounds, How may multiplication and division be jointly ap- } plied... How may any quantity of one denomination be } 106 ....... brought to that of another denomination. How may pounds be brought to guineas, and the contrary... How may English miles be brought to Irish, and the contrary... How may coins weights and measures of one country be brought to those of another.. + By division. To bring quantities of one denomination, into, those of another denomination, Page. How does the value of a value increase... ... What happens when both terms of a fraction are multiplied by the same number...... And what when both terms are divided by the same number, or by a common divisor.. ............ What is the greatest common measure of two or more numbers... ww 109 ib ib 110 How is the greatest common measure found.. What is a multiple of two or more numbers... When the numbers have not a common divisor how is the least common multiple found.. What is reduction of fractions.... How are fractions brought to their least terms.... How may a mixed number be brought to an impro-} per fraction equal thereto.... How may an improper fraction he brought to its equivalent, whole or mixed number... How may a whole number be expressed as a frac tion.... } ib 111 ib ib 109 112 ib ib 114 ib How may a whole number be brought to a fraction having a given denominator. ib How may a compound fraction be brought to a simple one of equal value..... ib What observations are made on the last rule. be brought to other fractions equivalent thereto How to others having the least common denominator How is the value of a fraction found in terms of the lower denominations..... How may any compound quantity be brought to the fraction of the integer of which it is a part.. How may a fraction of one denomination be brought to that of another denomination still retaining the same value.. |