Multiplication may be performed by Factors, thus. Take any two or three Numbers, &c, which when multiplied into one another, will produce the Multiplier given; and multiply the Multiplicand by one of them, and that Product by the other, &c. and the laft Multiplication will be the defired Product. EXAMPLES. Multiply 74276 by 24: The Factors are 4 and 6. 6 445656 4 1782624 Multiply 67424 by 48, The Factors are 8 and 6. 8 539392€ 6 3236352 N. B N. B. The laft Product had been the fame, if I had taken any other Numbers; which when multiplied together, would have made the Multiplier; as 3, and 8, in the firft Example. And 4, 6, and 2 in the second. Multiplication of Compound Quantities. If one Pound of Tea coft 5 s. 9 d. what will eight Pounds coft? 5:9 1.2: 6:0 I say 8 times 9 is 72, which is 72 Pence, that is 6 Shillings, put a Cypher under the Pence place, and carry 6, faying 8 times which is 46 Shillings, Anfwer. 5 is 40, and 61 carry is 46, equal to 2 l. 6s. od. the If one Yard of Velvet coft 1.4 s. 6d. What will 9 Yards coft at that rate? For 9 Halfpence is 4d.; I fet down the, and carry 4 to the Pence place, faying 9 times 6 is 54, and 4 I carry is 58 Pence, which is 4s. 10 d. put down the 10 and carry 4, faying times 4 is 36, ·9 and 4 I carry is 40 Shillings, put down a Cypher in the Shillings place, and carry 2 to the Pounds place, faying 9 times I is 9, and 2 I carry is 11 Pounds, which I put down, and the Answer is 11l. os. 10d.. And fo of all the reft of the Examples. If 1 Yard coft 3s. 7 d. 4, what will 24 Yards cost at that rate? If Pound of Tea coft 7s. 4d., what will 56 Pounds coft at that rate? 7:4 8 2:19:0 7 20: 13:0 In answering Questions of this Kind, take any two Numbers, which when multiplied together will produce the Number given, and multiply the Price by one of the Factors, and that Product by the other, and the last Product will be the Anfwer, as in the two last Examples. In the first I multiply the Price of 1 Yard by 3, which gives me the Price of 3 Yards, then I multiply the Price of 3 Yards by 8, and it gives me the Price of 8 times 3 Yards, which is 24 Yards. If I had multiplied the Price of 1 Yard by 4, and that Product by 6, ir would have been the I fame fame Answer. And in the fecond Example, I muland then by 8 for the fame Reason. If 1 Yard coft 25. 3d. what will 60 Yards coft at that Price? 2:3 1:26 This is the Price of 10 Yards. 6 6: 150 The Price of 60 Yards. If a parcel of Cloth coft 8, 16 s. 5 d. what will 336 Parcels coft at that rate? First, I multiply the Price of 1 Parcel by 10, which gives me the Price of 10 Parcels, then I multiply that Product by 10, and it gives the Price of 10 times 10 Parcels, or 100; which Product multi plied by 3 gives the Price of 300 Parcels. Then multiplying the Price of 10 Parcels by 3, it gives the Price of 30 Parcels, which place under the Price of 300 Parcels. Laftly, multiply the Price of one Parcel by 6, and place it under the laft, then those 3 Sums added together gives the Anfwer equal, 2963 l. 16 s. If I Gallon of Rum coft 8s. 6d. what will 6742 coft? s. d. 86 The Price of 1 Gallon. IO 1. 4:50 The Price of 10 Gallons. 10 42: 10: 0 The Price of 100 Gallons. ΤΟ 425:00:0 The Price of 1000 Gallons. 6 2550:00:0 The Price of 6000 Gallons. 00:17:0 The Price of 700 Gallons. 40 Gallons. 2 Gallons. 2865:07:0 The Price of 6742 Gallons, This Method of finding the Value of any Number of Yards, Gallons, Ells, Pounds, &c. at any Price per Yard, Gallon, &c. is of great Ufe for finding the Value in a fhort and eafy manner, and very often exceeds the Method of Practice; and will be of ex |