## The practice and theory of arithmetic |

### Dentro del libro

Página xii

To prove that

To prove that

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

T. prove that

T. prove that

**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 multiplier ...### Comentarios de la gente - Escribir un comentario

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### Términos y frases comunes

added addition amount annuity appears called cent changed ciphers column common composed COMPOUND considered contain Convert cost counters cube debt decimal denomination denoted DETERMINE difference digits diminish divide dividend division divisor equal equivalent evidently exact EXAMPLES exchange explain expressed factors feet figures Find former fraction give given number greater Hence higher hundreds inches increased integer interest kind less lower manner marks means measure method multiplicand multiplier number of terms number of units obtained operation performed period places present prime Principal Prop Proportion prove quantity quotient ratio Reduce remainder represent result root Rule scale selling separate share shew shillings Simple solid square subtract succession tens third units varies vulgar fraction whole number write yards

### Pasajes populares

Página 30 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.

Página 16 - 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 180 - 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 154 - 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 159 - 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 12 - A Common Multiple of two or more numbers is a multiple of each of them.

Página 39 - RULE. 1. Separate the given number into periods of two figures each, by placing a dot over units, hundreds, etc.

Página 71 - 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 7 - 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 107 - RULE. Multiply each quantity by its price, and divide the sum of the products by the sum of the quantities.