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" The cube of a number consisting of TENS and UNITS is equal to the cube of the tens... "
The New American Arithmetic - Page 94
by Samuel Mecutchen, George Mornton Sayre - 1877
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1875 - 472 pages
...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,...tens multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units. parts, considered as one number,...
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A Practical Arithmetic: Designed for Grammar Schools and Academies

George E. Seymour - Arithmetic - 1880 - 332 pages
...3 (20X4) -f-42 K b. 507. Hence, The cube of any number consisting of tens and units is composed of the cube of the tens, plus three times the square...tens, multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units. 1st. Part. The cube of the...
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The Inductive Algebra: Embracing a Complete Course for Schools and Academies

William James Milne - Algebra - 1881 - 360 pages
...the tens3 + 3 times the tens2 X the units + 3 times the tens X units2 + the units3. PRINCIPLE. — The cube of a number consisting of tens and units is equal to t3 -|- 3i2w -f- 3<M2 -{- «8. Thus, 35 = 3 tens + 5 units, or 30 + 5, and 353=303 + 3 (302 X5) + 3(30...
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Complete Graded Arithmetic: Oral and Written, Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 450 pages
...units, plus 3 times the tens by the square of the units, plus the cube of the units. NOTE.— Since the cube of a number consisting of tens and units is equal to the cube of the tens, plus 3 times the square of the tens by the units, etc., when a number has two periods, it follows that the...
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Complete Graded Arithmetic: Oral and Written : Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 416 pages
....he cube of the units 5» = 125 Now 27000 + 13500 + 2250 + 125 = 42875. Hence. 752. TJie cube of any number consisting of tens and units is equal to the cube of the tens, pkt-s 3 times the square of the tens by the units, plus 3 times the tens by the square of the units,...
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Second Book in Arithmetic: Comprising Four Years of Oral and Written Work in ...

Arithmetic - 1882 - 526 pages
...ones, 125 That is, 35s = 42, 875 18 7 . PRHTCIPLE III. The cube of a number, regarded as tens and ones, is equal to the cube of the tens, plus three times the product of the square of the tens and the ones, plus three times the product of the tens and the square...
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A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - Arithmetic - 1883 - 370 pages
...the length of its edge? PRINCIPLE AND RULE. ART. 367. Principle.— The cube of a number, composed of tens and units, is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square...
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Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 364 pages
...these partial products, 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....
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Fish's Arithmetic Number One[-two]: Oral and Written ..., Volume 2

Daniel W. Fish - Arithmetic - 1883 - 348 pages
...which is the sum of 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, plus twice the product of the tens by the units, plus the square of the units....
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Numbers Applied, a Complete Arithmetic, Part 1

Andrew Jackson Rickoff - Arithmetic - 1886 - 688 pages
...root of which 42875 is the third power. It must be kept in mind that the cube of any number composed of tens and units is equal to The cube of the tens -j- three times the product of the square of the tens by the units -j- three times the product of the...
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