5 March (5th March) | the fifth of March / March the fifth |
nineteen hundred and seven / nineteen oh seven |
Fractions and decimals
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![]() | 0.3 (nought) point three |
![]() | 6.07 six point oh seven |
![]() | 10.75 ten point seven five |
Percentages
35 % | thirty-five per cent |
Temperature
24°C or F –10° | twenty four degrees centigrade / celsius or fahrenheit [ˊfærǝnhaɪt] ten degrees below zero / minus ten degrees |
Formulae reading
Basic formulae
1. Do you know how these formulae are spoken?
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Notice the signs which are used to indicate mathematical processes. Copy this into your notebooks.
signs | spoken | noun / verb |
+ | plus [plʌs] | addition / add |
– | minus [ˊmaɪnǝs] | subtraction / subtract |
![]() | multiplied by / times | multiplication / multiply |
: | divided by / over | division / divide |
2. Memorise how the above formulae should be spoken.
a plus b equals c
a minus b equals d
a times b equals e / a multiplied by b equals e
a over b equals f / a divided by b equals f
3. More mathematical symbols to memorise.
These signs () are called brackets.
These signs [ ] are called square brackets.
ABC are capital letters.
abс are small letters.
Ax is read A subscript x
ā is read a barred [ba:d]
4. Practise reading these formulae aloud.
![]() | a minus b in brackets times a plus b in brackets equals y |
![]() | a open brackets 8 minus b close brackets equals x |
![]() | 12 plus a minus b in brackets all over 7 a equals b |
![]() | x open square brackets a minus b in brackets times a plus b in brackets minus 7 close square brackets equals nought [nɔ:t] |
5. Produce and recognise spoken forms of these simple formulae. Mind that the capital / small letter distinction is usually only made when both forms are used in the same equation.
1) ![]() |
6) ![]() |
2) ![]() | 7) ![]() |
3) ![]() | 8) ![]() |
4) ![]() | 9) ![]() |
5) ![]() | 10) ![]() |
6. Mind the full spoken version of these values. Practise reading them.
![]() | x squared |
![]() | x cubed |
![]() | x to the power (of) n / x to the n |
![]() | x to the power (of) n minus 1 / x to the n minus one |
![]() | x to the power (of) minus n / x to the minus n |
![]() | square root of x |
![]() | cube root of x |
![]() | n th root of x |
7. Write down the full spoken version of the following expressions. Read them out.
1) ![]() | 6) ![]() |
2) ![]() | 7) ![]() |
3) ![]() | 8) ![]() |
4) ![]() | 9) ![]() |
5) ![]() |
10) ![]() |
More complex formulae
1. Study the following table and read the examples aloud.
symbol | meaning | example | spoken |
º | equivalent to | xºy | x is equivalent to y |
¹ | not equal to | x¹y | x is not equal to y |
![]() | approximately equal to | x ![]() | x is approximately equal to y |
![]() | tends to | x ![]() | x tends to nought |
< | less than | x<5 | x is less than five |
> | greater than | x>5 | x is greater than five |
<< | much less than | y<<5 | y is much less than five |
>> | much greater than | y >>5 | y is much greater than five |
≤ | less than or equal to | x ≤10 | x is less than or equal to 10 |
≥ | greater than or equal to | y ≥10 | y is greater than or equal to 10 |
∞ | infinity | x→∞ | x tends to infinity |
![]() | proportional to |
x ![]() | x is proportional to y |
± | plus or minus | x=±2 | x equals plus or minus 2 |
/ | per | km/hr | kilometres per hour |
2. Here is the Greek alphabet. Make sure you know how this is read.
Capital / small | Name | |
Aα | alpha | [ˊælfǝ] |
Bβ | beta | [ˊbi:tǝ; US: beɪtǝ] |
Γγ | gamma | [ˊgæmǝ] |
Δδ | delta | [ˊdeltǝ] |
Εε | epsilon | [epˊsaɪlǝn; US: ˊepsɪlɔn] |
Ζζ | zeta | [ˊzi:tǝ; US: ˊzeɪtǝ] |
Ηη | eta | [ˊi:tǝ; US: ˊeɪtǝ] |
Θθ | theta | [ˊθi:tǝ; US: ˊθeɪtǝ] |
Ιι | iota | [aɪˊoutǝ] |
Κκ | kappa | [ˊkæpǝ] |
Λλ | lambda | [ˊlæmdǝ] |
Μμ | mu | [mju:] |
Νν | nu | [nju:; US: nu:] |
Ξξ | xi | [ksaɪ] |
Οο | omicron | [ouˊmaɪkrǝn; US: ˊɔmɪkrɔn] |
Ππ | pi | [paɪ] |
Ρρ | rho | [rou] |
Σσ | sigma | [ˊsɪgmǝ] |
Ττ | tau | [tau] |
Υυ | upsilon | [ju:pˊsaɪlǝn; US: ˊju:psɪlɔn] |
Φφ | phi | [faɪ] |
Χχ | chi | [kaɪ] |
Ψψ | psi | [psaɪ] |
Ωω | omega | [ˊoumɪgǝ; US: ouˊmegǝ] |
3. Practise reading out these expressions.
1) ![]() | f equals one over two pi times the square root of LC |
2) ![]() | E equals sigmaT to the power of four |
3) ![]() | Capital W subscript s equals two pi small f over capital P |
4) ![]() | Gamma equals W subscript oh over four piR all times F |
5) ![]() | Mu subscript oh equals four pi times ten to the power of minus seven capital H small m to the power of minus one |
6) ![]() | C equals L over R squared plus omega squared L squared |
7) ![]() | v subscript two equals the square root of open brackets, two e over m times capital V subscript two, close brackets |
8) ![]() | u equals a half sigma subscript upsilon squared all over K |
9) ![]() | sigma equals capital M small y small c all over capital I, plus capital P over capital A |
10) ![]() | gamma equals four Q over three piR squared times, open brackets, R squared minus gamma squared, close brackets |
4. Write down the following formulae in your notebooks. Check the results as a class.
1) V over I equals R (all capital letters)
2) P subscript one V subscript one equals P subscript two V subscript two (all capital letters)
3) one over u plus one over v equals one over f (all small letters)
4) capital F equals small m small v squared all over small r
5) one over R equals M over EI (all capital letters)
6) sigma over capital Y small n equals capital M over capital A small h capital R subscript small f
7) capital A equals two pi capital R subscript small c, open square brackets capital R subscript small c minus square root open brackets capital R subscript small c squared minus small d squared over four, close brackets, close square brackets
8) tau equals four capital Q over three pi capital R to the power of four, open brackets, capital R squared minus gamma squared, close brackets
9) F is proportional to M subscript one M subscript two all over R squared (all letters capital)
10) T squared over R cubed equals four pi squared over GM (all capital letters)