| Benjamin Greenleaf - 1872 - 192 σελίδες
...is the square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. — The square of any number ¡я equal to the square of the tens, plus twice the product...the tens by the units, plus the square of the units. Thus, 82 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square... | |
| John Alexander Henderson - 1872 - 64 σελίδες
...squaring any number consisting of tens and units. The square of such a number is equal to the Bquare of the tens, plus twice the product of the tens by the units, plus the square of the units. Thus 25 is composed of 2 tens or 20 and 5 units; and the 20 squared equals, 4:00 20 multiplied by 5... | |
| George Payn Quackenbos - 1872 - 350 σελίδες
...2 (20 x 5) + 5* ==25 squared = 625 Hence, The square of a number composed of tens and units, equals the square of the tens, plus twice the product of the tens and units, plus the square of the units. 502. Now reverse the process. Find the sq. root of 625. According... | |
| Daniel Barnard Hagar - 1873 - 278 σελίδες
...is ioOOO, etc. 2. The square of any number expressed by more than one order of figures consists of the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. For any number expressed by more than one order of figures may be regarded as an algebraic polynomial,... | |
| Elias Loomis - 1873 - 396 σελίδες
...841 " 800+40+1. If, then, 841 is the square of a number composed of tens and units, it must contain the square of the tens, 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 arises the peculiar difficulty in determining... | |
| Charles Davies - 1874 - 346 σελίδες
...times, we have 3 * G+3-, and the sum is 32+2(3 x 6)+62 : thatis' 3« + 2(3x6)+6 The square of a number is equal to the square of the tens, plus twice the product of the lens by the units, plus the square of the units. The same may be shown by the figure : Let the line... | |
| George Payn Quackenbos - 1874 - 444 σελίδες
...ordinary way, we deduce the following law : — The square of a number composed of tens and units, equals the square of the tens, plus twice the product of the tens and units, plus the square of the units. The diagram in the margin will illustrate this law of numbers,... | |
| William Guy Peck - 1875 - 348 σελίδες
...root, and y the units; then will that is, the number is equal to the square of the tens in its root, plus twice the product of the tens by the units, plus the square of the units. We first find the tens of the root. Since the square of tens can contain no significant figure less... | |
| William Guy Peck - 1875 - 348 σελίδες
...point. If we subtract the square of the tens from the given number, the remainder will be equal to twice the product of the tens by the units, plus the square of the units. Consequently, if we divide the remainder by twice the tens, the quotient will give the units, or a... | |
| Benjamin Greenleaf - 1875 - 196 σελίδες
...What is the square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. — The square of any number is equal to the square of the tens, plus twice the product of the tens Ъу the units, plus the square of the units. Thus, 32 is 3 tens and 2 units ; 3 tens, or 30, squared... | |
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