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" Which proves 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. "
Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic - Σελίδα 351
των Joseph Ray - 1880 - 408 σελίδες
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The Bryant and Stratton Business Arithmetic

H. Bryant - 1881 - 574 σελίδες
...for every two decimal places used. 304. Observe further, that the square af any number separated into tens and units is equal to the square of the tens, plus twice the product of the tens by (he units, plus the square, of the units. (Art. 355, 1.) 36'J. These two principles concerning the...

Complete Graded Arithmetic: Oral and Written : Upon the Inductive Method of ...

James Bates Thomson - 1882 - 416 σελίδες
...200 + 25 = 625, or 25 s . Hence, the 62g _ 400 + 200 + 35 RULB.—The square of any 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. 1 VOLUTION. ORAL EXERCISES. 720. 1. What are the two equal factors of 9 ? 16 ? 25 "t 2. Name the two...

Complete Graded Arithmetic, Oral and Written: Upon the Inductive Method of ...

James Bates Thomson - 1882 - 416 σελίδες
...The square of any number consisting of tens and units is equal to the square of the tens, plus tiuice the product of the tens by the units, plus the square of the units. 4. What is the square of 34 in the terms of its tens and units? j VOLUTION. ORAL EXERCISES. 720. 1....

Fish's Arithmetic Number One[-two]: Oral and Written ..., Τόμος 2

Daniel W. Fish - 1883 - 348 σελίδες
...these partial products, is the square of 20 + 7 or 27. PRINCIPLE.— TJie 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. Using t and u respectively to denote the tens and units of a number, we have the FORMULA : I" + 2 x...

A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - 1883 - 374 σελίδες
...106.75? 74. 1.1449? 55. 390625? 65. 566.44? 75. 4.1209? PRINCIPLE AND RULE. ART. 361. Principle. — The square of a number, composed of tens and units,...the tens, plus twice the product of the tens by the unite, plus the square of the units. ART. 362. To extract the square root of a number: Rule. — 1....

Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Βιβλίο 2

Daniel W. Fish - 1883 - 364 σελίδες
...is the square of 20 + 7 or 27. 729 = x 20 x7 + 72 PRINCIPLE. — The square of a number consisting of tens and units is equal to the square of the tens,...plus twice the product of the tens by the units, plus ths square of the units. Using t and u respectively to denote the tens and units of a number, we have...

A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - 1883 - 368 σελίδες
...4.1209? PRINCIPLE AND RULE. ART. 361. Principle. — The square of a number, composed of tens and unite, is equal to the square of the tens, plus twice the product of the tens by the unit*, plus the square of the units. ART. 362. To extract the square root of a number: Rule. — 1....

Complete Arithmetic Combining Oral and Written Exercises

Indiana. State Board of Education - 1886 - 360 σελίδες
...square of 25. By analyzing the foregoing we find that 625, when compared with its square root, contains the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. Q 2 = 81 From the squares in the margin we may 99 3 = 9801 infer that the square of any number con125...

Numbers Applied, a Complete Arithmetic, Μέρος 1

Andrew Jackson Rickoff - 1886 - 688 σελίδες
...to see where we may find them in the product. Thus, In this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the...the tens by the units, plus the square of the units. v- Q It may be shown that the same is true of any number. Raise the following numbers to the second...

Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - 1888 - 484 σελίδες
...letters, we get the result <* + 2<w + it8. Hence, The square of a number expressed by two figures, equals the square of the tens, plus twice the product of the tens into the units, plus the square of the units. In like manner find the square of each of the following...




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