What is negative 3/8 plus 7/8
2 answers:
Hi there!
To add fractions there are three simple steps:
1. Make sure the bottom numbers (denominators) are the same. → In your case you're all good, both your denominators are 8.
2. Add the top numbers (numerators) and put that answer over the denominator :
-3 + 7 = 4 →
3. Simplify the fraction (if needed). → In your case, you do need to simplify your fraction :
Divide both your numerator and denominator by 4 to get your simplified fraction :
4 ÷ 4 = 1
8 ÷ 4 = 2
Your simplified fraction is :
There you go! I really hope this helped, if there's anything just let me know! :)
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According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.
<h3>How to approximate the value of a irrational number by binomial theorem</h3>Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:
(1)
Where:
- a, b - Constants of the binomial.
- n - Grade of the power binomial.
- k - Index of the k-th element of the power binomial.
If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:
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To learn more on binomial expansions: brainly.com/question/12249986
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