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Βιβλία Βιβλία 41 - 50 από 195 για The square of a number composed of tens and units is equal to the square of the tens,....
" The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. tens? "
A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ... - Σελίδα 253
των Emerson Elbridge White - 1870 - 340 σελίδες
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The elements of algebra

Elias Loomis - 1856 - 268 σελίδες
...whose square is a'+2ab+b'. Hence we see that the square of a number composed of tens and units contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. Now the square of tens can give no significant figure in the first right-hand period ; the square of...

New University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - 1856 - 437 σελίδες
...When «o, decomposed, what IN its square equal to ' F 30 30 The square of a number is equal to ike 'square of the tens, plus twice the product of the tens by the units, plus the square of the units. The same may be shown by a figure : Let the line AB represent the 3 tens or 30, and BC the six units....

The Intellectual Multiplier: Comprising Concise and Easy Methods of ...

1856 - 30 σελίδες
...multiplied by itself is called the square, or second power, of that number. The square of any number is equal to the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. 1. What is the product of 125 multiplied by...

Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies, M. Bourdon (Louis Pierre Marie) - 1857 - 400 σελίδες
...have, N=a + b; whence, by squaring both members, N* = a* + 2a6 + b* : Hence, the square of a number is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. For example, 78 = 70 + 8, hence, (78)2 = (70)2 + 2 x 70 x 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95i Let...

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1857 - 444 σελίδες
...tens, hundreds, &c. of .the square root of the number. 2. The square of a number consisting O/TENS and UNITS is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the...

The national arithmetic on the inductive system: combining the analytic and ...

Benjamin Greenleaf - 1858 - 444 σελίδες
...units, tens, hundreds, &c. of the square root of the number. 2. The square of a number consisting O/TENS and UNITS is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the...

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1858 - 444 σελίδες
...lens, hundreds, &c. of the square root of the number. 2. The square of a number consisting O/"TENS and UNITS is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the...

A Treatise on Algebra

Elias Loomis - 1858 - 359 σελίδες
...then, 841 is the square of a number composed of tens and units, it must contain the square of the lens, plus twice the product of the tens by the units, plus the square of the units. But these three terms are blended together in 841, and hence the peculiar difficulty in determining...

A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - 1858
...= 2209. Thus the square of a number, consisting of units and tens, is composed of three parts, viz. the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. Thus in 2209, the square of 47, we have The...

Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1860 - 400 σελίδες
...have, N=a + b; whence, by squaring both members, N2 = a* + 2ab + b2 : Hence, the square of a number is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. For example, 78 = 70 + 8, hence, (78)2 = (70)2 + 2 X 70 X 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95 1...




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