0
(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…
What else can I help you with?
What is scientific notation used for?
It's a shorthand way to express large numbers or even very small numbers.Example:44800000000 = 4.48e+10
What is infinity to the infinity?
Presuming you are using limits, the exponentiation of two limits which diverge to infinity, also diverge to infinity. Or, using shorthand notation: ∞∞= ∞
How do you solve a Base-Ten Shorthand?
To solve a Base-Ten Shorthand, first interpret the shorthand notation by identifying the digits and their place values. Then, convert the shorthand representation into its full numerical form by calculating the value of each digit based on its position (e.g., hundreds, tens, units). Finally, sum these values to arrive at the final answer. Practicing with different examples will help reinforce the process and improve accuracy.
What is 5 ways to write 100000?
Here are five ways to write 100,000: 100,000 (standard form) 1 x 10^5 (scientific notation) 100k (using the shorthand notation for thousands) 10^5 (exponential notation) 99,999 + 1 (as the sum of two numbers)
How does scientific notation help scientists?
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.
What is the shorthand notation for fluorine 19?
The shorthand notation for fluorine-19 is ^19F.
What is the shorthand notation for Lead?
[Xe]6s^24f^145d^106p^2 i think this is right. !
What is the Shorthand notation for Mg?
The shorthand notation for magnesium is simply Mg.
What is the ground state shorthand notation for mercury?
The ground state shorthand notation for mercury is [Xe] 6s25d10 [Xe] 6s26d10 [Rn] 6s26d10. Mercury is the only metal that is liquid at standard conditions for temperature and pressure.
What is the ground state shorthand notation for iron Fe?
The ground state shorthand notation for iron (Fe) is [Ar] 3d^6 4s^2.
What is the shorthand configuration notation of Carbon?
Carbon has the chemical symbol of C and an atomic number of 6. Its shorthand or electron configuration is 1s2 2s2 2p2.
What is a shorthand notation for repeated multiplication of the same factor?
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
A shorthand method of writing very large or very small numbers?
Scientific notation.
What is the shorthand notation of fermium?
The electron configuration (short form) of fermium is: [Rn]5f127s2.
What is the shorthand notation that repeat multiplication of the same value?
Exponents Example: 12x12x12=123
What is the shorthand notation for the electron configuration and germanium?
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.
What is the shorthand notation for Silicon Si?
The electron configuration of silicon is [Ne]3s23p2.
