- •Введение
- •Unit 1.Ordinal and relation signs
- •1.1 Assignments
- •Unit 2.Operation signs and terms
- •2.1 Assignments
- •Unit 3.Operating with fractions
- •3.1Assignments
- •Unit 4.Decimal fractions
- •4.1 TEXT (Read the text and do the tasks that follow.)
- •4.2 Assignments
- •Unit 5.Roots
- •5.1 Assignments
- •Unit 6.Powers.
- •6.1 Assignments
- •Unit 7.Logarithms
- •7.1 Assignments
- •Unit 8.Some algebraic expressions and formulas
- •8.1 Assignments
- •Unit 9.Fundamental symbols and expressions concerning the theory of sets
- •9.1 Assignments
- •Unit 10.Classification of the elementary functions
- •10.1 Assignments
- •Unit 11.Expressions concerning intervals and limits
- •Tasks.
- •1. Analyse and memorize
- •2. Practice reading the following expressions by yourself, check your answer using the keys
- •APPENDIX.
- •KEYS.
- •Список использованной литературы.
- •Приложение Б
- •Приложение В
- •Приложение Г
- •Приложение Д
Zero / nought / cipher / |
[`zIqrou] [nO:t] [`saIfq] ноль |
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nil / null |
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[nIl] [nAl] |
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4.2.2. Match the columns |
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1 |
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a) |
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Two second |
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2 |
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23/6 |
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b) |
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Twenty three sixth |
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3 |
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2/2 |
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c) |
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Point two |
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4 |
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3 |
5 |
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d) |
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Twelve point seven nought seven |
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7 |
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5 |
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3.57 |
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e) |
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Three and five sevenths |
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6 |
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0.02 |
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f) |
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naught; or: cipher; |
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7 |
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12.707 |
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g) |
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Point; or: decimal point |
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8 |
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0 |
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h) |
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nought point nought two, |
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9 |
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i) |
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And so on to |
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10 |
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… |
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three point fifty seven |
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Unit 5.Roots |
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Look through the table and try to memorize it. |
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symbols |
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reading |
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additional word |
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combinations |
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n |
c = b |
(the) n-th root of c is equal to |
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To extract a root |
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b |
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radical |
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To express a radical |
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т |
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by a power with |
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root sign, or: radical sign |
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a fractional exponent |
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n |
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index of a root |
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c |
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radicand |
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b |
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value of a root |
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square root of x |
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x |
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3 |
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cube root of x |
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x |
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c |
m |
= C |
m |
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The n-th root of c to the m-th |
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n |
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power equals c to the power |
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of m over n |
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L= |
R2 ± x2 |
Capital L equals the square |
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root of (out of) capital R |
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squared plus or minus x |
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squared |
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14
5.1 Assignments
5.1.1.Memorize the following words and word-groups:
To extract a root |
[Iks`trxkt q `rHt] |
извлекать корень из |
To express |
[Iks`pres ] |
выражать |
a fractional exponent |
[`frxkSqnl |
дробный показатель |
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eks`pounqnt] |
степени |
radical |
[`rxdIk(q)l] |
знак корня, радикал |
root sign, or: radical sign |
[`rHt `saIn] |
Знак корня (обычно с |
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чертой вверху, в |
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[`Indeks Ov q `rHt] |
отличие от радикала) |
index of a root |
показатель корня |
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(pl indexes) |
pl [`IndeksIz]} |
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radicand |
[`rxdIkqnd] |
подкоренное число, |
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[`vxljH Ov q `rHt] |
выражение |
value of a root |
величина, значение |
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[`skwFq `rHt Ov] |
корня |
square root of |
корень квадратный из |
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cube root of |
[`kjHb `rHt Ov] |
корень кубический из |
5.1.2. Give the names to the components of these operations:
•
•т
•c
•т a = z
5.1.3. Read these roots:
•3 9 *3 = 3
•n (a + b)m = C mn
•(a + b)4 = (a + b)2
•6 64 = 2
• a2 + b4 = y
5.1.4. Match the columns
1 |
2 |
2 |
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a) |
radical |
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5 |
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2 |
¼ |
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b) |
cube root of x |
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3 |
( ) |
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c) |
braces |
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4 |
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{ } |
d) |
(the) n-th root of c is equal to b |
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n c = b |
e) |
a proper fraction |
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f) |
a mixed fractions |
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т |
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15