## The practice and theory of arithmetic |

### Dentro del libro

Página xii

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**the product of two numbers is equal to the sum of the**products of the multiplicand by each part of the multiplier PROP . 9. - To prove the Rule for Multiplication by a composite number PROP . 10. - To prove the Rule for Multiplication ... Página 127

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**the product of two numbers is equal to the sum of the**products of the multiplicand by each part of the multiplier . Since the product of two numbers is the same , whichever be the multi- plier ; therefore let the multiplicand be ...### Otras ediciones - Ver todas

### Términos y frases comunes

abstract added addition amount annuity appears called cent changed ciphers common measure composed Compound considered contains converted cost cube debt decimal denominator denoted determine difference digits diminish divide dividend division divisor equal equivalent evidently exact EXAMPLE explain expressed factors feet figures former fraction gain or loss give given number given sum greater Hence higher hundreds inches income increased integer interest kind less lower manner means measure method multiplicand multiplier number of tens number of units obtained operation performed present prime factors Principal Prop Proportion prove quantity question quotient ratio Reduce remainder repeated represent required to find result root Rule selling separate share shew shillings Simple square subtract succession tens third units varies vulgar fraction write yards

### Pasajes populares

Página 28 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.

Página 14 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Página 178 - The sum, therefore, of all the terms of both series, is equal to the sum of the first and last terms multiplied by the number of terms...

Página 152 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.

Página 157 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.

Página 10 - A Common Multiple of two or more numbers is a multiple of each of them.

Página 37 - RULE. 1. Separate the given number into periods of two figures each, by placing a dot over units, hundreds, etc.

Página 69 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Página 5 - Then multiply the divisor by this figure and subtract the product from the figures divided; to the right of the remainder bring down the next figure of the dividend and divide this number as before.

Página 105 - RULE. Multiply each quantity by its price, and divide the sum of the products by the sum of the quantities.