To change an Improper Fraction to a Whole or Mixed Number, To find the Greatest Common D.visor of two or more Numbers, (reference,) 115 To reduce Fractions of Different Denominators to a Common Denominator, 117 Division of Fractions-To divide a Fraction by a Whole Number, To reduce Whole Numbers to the Fraction of a greater Denomination, To reduce a Fraction to Whole Numbers of less Denominations, To reduce Fractions of a higher Denomination to lower, To reduce Compound Numbers to Decimals of the highest Denomination, 142 To reduce Decimals of higher Denominations to Whole Numbers of lower The Principal, Interest, and Time, being given, to find the Rate per cent., 166 The Principal, Rate per cent., and Interest, being given, to find the Time, 168 Ratio, or the Relation of Numbers, Proportion arising from Ratio, or from Multiplication and Division, 185 Compound Proportion, or Double Rule of Three, by Ratio and Analysis, 187 To compute the Interest on Notes with Endorsements-three modes, Method of assessing taxes,ez. 12,13, 204 The Diameter of a Circle being given, to find the Circumference, The Circumference of a Circle being given, to find the Diameter, To find the Solid Contents of a Globe, To find the Solid Contents of a Cylinder, 265 ARITHMETIC. MENTAL EXERCISES. ADDITION. TI. 1. How many little fingers have you on your righ hand? How many on your left? How many on both?" 2. How many eyes have you? 3. If you have two apples in one hand, and one in the other, how many have you in both? How many are two and one, then, put together? 4. Flow many do 5. If you have two nuts in one hand, and two in the other, your ears and eyes make, counted together? how many have you in both? How many do two and two make, put together? 6. If you have three pins in one hand, and James puts another in, how many will you have in your hand? How many are three and one then? 7. If you have three pins in one hand, and James puts two more in, how many will you have in your hand? How many are three and two then? 8. If you have four apples in one pocket, and two in the other, how many will you have in both? How many are four and two then? 9. Thomas has four cents, and William has three; how many have they both together? How many are four and three then? 10. You have five pins in one hand, and three in the other; how many have you in both? How many are five and three then? 11. You have four nuts in one hand, and four in the other; how many have you in both? How many are four and four then? The questions in ff I and II II are intended for very young children. Older pupils may omit these. But the two remaining sectious, and the four tables. will claim an attentive perusal. 2 |