 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.  New Practical Arithmetic - Page 361by Eugene L. Dubbs - 1901 - 440 pagesFull view - About this book
 | Emerson Elbridge White - Arithmetic - 1870 - 348 pages
...by the 3 units, plus the square of the units. In like manner, it may be shown that the square of any number, composed of tens and units, is equal to The square of the t&ns. plus twice the product of the tens by the units, plus the square of the units. 33. What is the... | |
 | Charles Davies - Arithmetic - 1874 - 346 pages
...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 - Arithmetic - 1874 - 444 pages
...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 - Algebra - 1875 - 348 pages
...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... | |
 | Benjamin Greenleaf - 1875 - 196 pages
...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... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...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... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 462 pages
...is 3 times 50 multiplied by the square of 4, and the fourth is the cube of 4. Hence, III. The cube of a number composed of tens and units is equal to the cube of the tens, plus three times the square of the tens multiplied by the units, plus three times... | |
 | Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...= 25 = the square of the units. 225 This analysis indicates that the square of a number consisting of tens and units is equal to the square of the tens,...the tens by the units, plus the square of the units. To . prove the accuracy of the proposition, let the tens of a number be denoted by a, and the units... | |
 | Edward Brooks - Arithmetic - 1877 - 528 pages
...OPERATION. 45 = 45 = 225 = 180 40+5 40+5 40X5+52 = 40*+40X5 2025 = 402+2(40x5)+5a FQ the square of 45 equals the square of the tens, plus twice the product of...the tens by the units, plus the square of the units, which we find to be 2025. SYNTHETIC SOLUTION. — Let the line AB represent a length of 40 units, and... | |
 | Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...«'- : hence we have the following FORMULA. — The square of a number expressed by two figures equals the square of the tens, plus twice the product of...the tens by the units, plus the square of the units ; or, (t + «)2 = i2 + 2 tu + M2. WRITTEN EXEIiCISES. PROBLEM. — Write the square of 85. PKOCESS.... | |
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