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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. "
A Theoretical and Practical Arithmetic: In which the Principles of that ... - Σελίδα 102
των Bézout - 1825 - 236 σελίδες
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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....

A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - 1883 - 370 σελίδες
...PRINCIPLE AND RULE. ART. 361. Principle.— 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. ART. 362. To extract the square root of a number: Rule.—1. Be<jin at the units ' order and sqmrate...

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

Daniel W. Fish - 1883 - 348 σελίδες
...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, plus twice the product of...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...

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

Daniel W. Fish - 1883 - 364 σελίδες
...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
...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....

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

Daniel W. Fish - 1883 - 360 σελίδες
...20 2 + 2x 20x7 + 72 PRINCIPLE. — T/ie 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 umts, plus the square of the units. Using t and и respectively to denote the tens and units of a number,...

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
...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 product of...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...

Numbers Applied

Andrew Jackson Rickoff - 1888 - 464 σελίδες
...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 product of...the tens by the units, plus the square of the units. It may be shown that the same is true of any number. Raise the following numbers to the second power,...




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