Page Pago Mixed Numbers ... 124 Present Worth of Annuities 139 Extract. of the Cube'Root 126 Annuities, &c. in rerersion 142 Vulgar Fractions 127 Rebate, or Discount.......... 143 Mixed Numbers... 127 Equation of Payments...... 145 Biquadrate Root... 129, Compound Interest A general Rule for extract- Annuities, &c. in Arrears... 118 ing the Roots of all Puw. Present Worth of Aunuities 150 ers. for Days ... Page! Page Multiplication of Feet and Measuring by the Square Measuring by the Foot Measuring by the Rod...... ib. 159 Multiplying several Figures Pas A Collection of Questions A general Table for calcu- set down promiscuously, lating Interests, Rents, Wres 178 ... = Equul.- The sign of Equality; as 4 qrs.=I crt. signifies that 4 qrs, are equal to 1 cwt. 2=5, that is S lessened by 2 is equal to 6. that is + added to 4 more is equal to 8, X Multiplied by.—The Sign of Multiplication ; as 4X 6=24, that is 4 multiplied by 6 is equal to 24. • Divided by.—'The Sign of Division ; as 8-21, that is, 9 divided by 2 is equal to 4. :: So is.—The sign of Proportion; as 2:4::8:16, that is, as 2 is to 4, so is 8 to 16. 7–2+5=10.-Shew's that the difference between 2 and 7, added to 5 is equal to 10. 9_2+5=2.-Signifies that the sum of 2 and 5, taken tìom 9, is equal to 2. that they must be taken together which are under sion would be ambiguous. of that number is required. the figures above the line are the Numerator, and those beloir value of the fraction. manner :--- The Numerator may be any indefinite number, root of numbers. mainder the Decimal will be equal in value with the fraction. always 10, 100, 1000, &c. A Decimal is only distinguished from a whole number by pretixing of (,) a comma. value, hy drawing a line under it and nlacing an unit and 4 TUTOR'S ASSISTANT: BEING A COMPENDIUM OF ARITHMETIC. PART I. ARITHMETIC IN WHOLE NUMBERS. THE INTRODUCTION. is bers, and has five. principal or fundamental Rules upon which all its operations depend, viz. NOTATION of NUMERATION, ADDITION, SUBTRACTION, MULTIPLICATION, and Division. NUMERATION TEACHETH the different Value of Figures by their differex. Places, and to read and write any Sụm or Number. Rulk. There are three Periods ; the first on the Right Hand, "Inits; the second Thousands; and the third Millions ; each consisting of three Figures, or Places. Reckon the first Figure uf each from the left Hand as so many Hundreds, the next a3 Tens, and the third as so many single Ones of what is written over thein. As the first period on the Left Hand is read thus, Nine hundred eighty-seven Willions; and so on for any of the rest. THE APPLICATION. 59 Write down in proper figures the following Numbers : Twenty-three Two hundred and fifty-four. Three thousand, two hundred and four. Twenty-five thousand, eight hundred and fifty-six. One hundred, thirty-two thousand, two hundred forty-five. Four millions, nine hundred forty-one thousand, four hundred. Twenty-seven millions, one hundred fifty-seven thousand, eight buindred thirty-two. Seven hundred twenty-two millions, two hundred thirty-one thousand, five hundred and four. Six hundred two millions, two hundred ten thousand, five bundred. Write down in Words at Length the following Numbers. 5201 754058 2071909 900061057 NOTATION BY ROMAN LETTERS. 1. One XXX. Thirty v. Two XL. Forty L. Fifty LX Sixty LXX. Seventy LXXX. Eighty VII. Seven XC. Ninety VIII. Eight C. Hundred IX. Nine CC. Two hundred CCC. Three hundred CCCC. Four Ilundred D. Five Hundred XIII. Thirtcen DC. Six hundred XIV. Fourteen DCC. Seven hundred XV. Fifteen DCCC. Eight hundred XVI Sixteen TCCCC.Nine hundred XVII. Seventeen M. One Thousand XVIII. Eighteen MDCCCXIII One thousand XIX. Nineteen eight hundred and thirteen XX. Twenty |