(a)
1. Let x = the repeating decimal. (a) x = 0.151 515 151 5…
2. Multiply
x by the power of 10 that
contains the same number of zeros as
there are digits in the repeating pattern.
The pattern contains 2 digits so
multiply by 100.
100
x = 15.151 515 15…
3. Subtract
x from the new value. 100x - x = 15.151 515 15 - 0.151 515 15
99
x = 15
4. Solve the linear equation found, putting
your answer in simplest (improper if
necessary) fraction form.
x
=
=
5. Check your answer by doing the division
on your calculator.
5
÷ 33 = 0.15151515…
(b)
1. Let x = the repeating decimal. (b) x = 1.244 444 44…
2. Multiply
x by the power of 10 that
contains the same number of zeros as
there are digits in the repeating pattern.
The pattern contains 1 digit so
multiply by 10.
10
x = 12.444 444…
3. Subtract
x from the new value. 10x - x = 12.444 444 - 1.244 444
9
x = 11.2
4. Solve the linear equation found, putting
your answer in simplest (improper if
necessary) fraction form.
x
= = =
5. Check your answer on your calculator. 56
÷ 45 = 1.244 44…
(c)
1. Let x = the repeating decimal. (c) x = 0.114 211 421 142…
2. Multiply
x by the power of 10 that
contains the same number of zeros as
there are digits in the repeating pattern.
The pattern contains 4 digits so
multiply by 10 000.
10 000
x = 1142.114 211 421 142…
3. Subtract
x from the new value. 10 000x - x = 1142.114 211 421 142
- 0.114 211 421 142
9999
x = 1142
4. Solve the linear equation found, putting
your answer in simplest (improper if
necessary) fraction form.
x
=
5. Check your answer on your calculator. 1142
÷ 9999 = 0.114 211 421 142…
It's a shorthand way to express large numbers or even very small numbers.Example:44800000000 = 4.48e+10
Presuming you are using limits, the exponentiation of two limits which diverge to infinity, also diverge to infinity. Or, using shorthand notation: ∞∞= ∞
Scientific Notation helps scientists write big or small numbers in a shorthand way. For example, instead writing 5,230,000,000,000 it would just be easier to write 5.23 x 10 to the 14th power.
The notation "1.0e" is typically shorthand for scientific notation, where "e" stands for "exponent." However, it is incomplete without a number following the "e." For example, "1.0e2" would equal 100, while "1.0e-2" would equal 0.01. If you meant "1.0e0," it equals 1.0.
In modern (shorthand) notation, M = 1000, CM = 900, L = 50, II = 2 the sum is 1952.In the ancient Roman (full) notation, M = 1000, C = 100, M = 1000, L = 50, II = 2 the sum is 2152.Remember as the Romans used Roman Numerals there in no place order, you just add the values of the letters. Monks in the Middle Ages created the modern (shorthand) notation with place order to save time and ink when making copies.
The shorthand notation for fluorine-19 is ^19F.
[Xe]6s^24f^145d^106p^2 i think this is right. !
The shorthand notation for magnesium is simply Mg.
The ground state shorthand notation for mercury is [Xe] 4f^14 5d^10 6s^2.
The ground state shorthand notation for iron (Fe) is [Ar] 3d^6 4s^2.
Carbon has the chemical symbol of C and an atomic number of 6. Its shorthand or electron configuration is 1s2 2s2 2p2.
An Exponent is a shorthand notation for repeated multiplication of the same factor. For instance: 5^4 actually means 5 x 5 x 5 x 5 = 625
Scientific notation.
The electron configuration (short form) of fermium is: [Rn]5f127s2.
Exponents Example: 12x12x12=123
The shorthand notation for the electron configuration of germanium is [Ar]4s2 3d10 4p2. This notation indicates that germanium has the same electron configuration as argon (Ar) up to its 18 electrons, followed by the 4s and 3d electrons before the 4p electrons.
The electron configuration of silicon is [Ne]3s23p2.