Language structure
- Task
- Practice Exercises
Main math expressions#
I. Ordinal and relation signs:#
| 1. | firstly, in the first place |
|---|---|
| 2. | secondly, in the second place |
| . | point, decimal point |
| ... | and so on to |
| x1 | x one, x sub one |
| x→ ∞ | x approaches infinity, x tends to infinity |
| = | is equal to |
| ≠ | is not equal to, does not equal |
| α , ~ | is directly proportional to |
| ≈ ≅ | approximately equals to, is approximately equal to |
| ( ) | parentheses, round brackets |
| [ ] | brackets, square brackets |
| < | is less than |
| > | is greater than |
| ≤ | is not greater than |
| ≥ | is not greater than of equals |
II. Operation signs and terms:#
| + | addition + (plus), H2+Cl2=2HC |
|---|---|
| - | subtraction – (minus), L-1=a |
| * | multiplication * (multiplied by) |
| multiplicand | |
| multiplier | |
| / | division / (divided by), 6 mol / 3 mol = 2 mol |
| divisor / denominator | |
| difference / remainder | |
| sum | |
| product |
III. Fractions:#
| 1/2 | one second, or a half |
|---|---|
| 1/3 | one third, or a third |
| 2/3 | two thirds |
| 1/4 | one forth, or a fourth, or a quarter |
| 1/100 | a hundredth |
| 5/16 | five sixteenths |
| 23/6 | twenty-three six |
| 9/9 | nine ninths |
| three and five sevenths | |
| ar over br equals ar over br | |
| five sixths divided by a half equals one and two thirds | |
| to reduce a fraction -to its lowest terms -to its highest terms | |
| to convert | |
| ratio |
IV. Decimal fractions:#
| .2 | point two |
|---|---|
| 0.2 | 0 point two, or two tenths |
| 0.02 | 0 point two, or two tenths |
| 12.707 | twelve point seven 0 seven |
| 0 | 0, or, zero, or naught, or cipher, or nil (null) |
V. Roots:#
| root; a fractional exponent | |
| to extract a root e.g. (the) n-th root of c is equal to b | |
| n | index of a root |
| c | radicand |
| b | value of a root |
| square root of (x) | |
| cube root of (x) |
VI. Powers:#
| b to the n-th power is equal to c b to the n-this equal to c the n-th power of b is equal to c b to the power of n is equal to c b to the power n is equal to c | |
| b squared; b cubed | |
| b to the power of minusn | |
| b | base |
| n | power exponent |
| c | value of a power |
| power | |
| the m over n-th power of a equals the square root of a to the m-th power |
VII. Logarithms:#
| log | logarithm |
|---|---|
| the logarithm of c to the base b is equal to n natural logarithm of a number(ln c) | |
| logarithm expression(common) logarithm of a number (log c; or lg c) | |
| B | base |
| C | antilogarithm |
| N | value of a logarithm |
VIII. Other expressions:#
| α | a prime |
|---|---|
| α | a double prime |