Answer:
The change in the index is - 69/50
Step-by-step explanation:
* Lets explain what is the rational number
- A rational number is a number that can be expressed as a fraction
a/b where a and b are integers and b ≠ 0
- A rational number have numerator and denominator
- Whole numbers, integers, fractions, terminating decimals and
repeating decimals are all rational numbers
- The rational numbers includes all positive numbers, negative
numbers and zero that can be written as a fraction
- To convert a Decimal to a Fraction follow these steps:
# Write down the decimal divided by 1
# Multiply both top and bottom by 10 for every number right the
decimal point
# Simplify (or reduce) the fraction
* Lets solve the problem
- A stock market index drops by 1.38 points
- We need to find the rational number represents the change in
the index
∵ Drop means the stock is become less
∴ The value of change will be negative
∵ The stock is drops by 1.38
∴ -1.38 = -1.38/1
- Multiply up and down by 100 because there are 2 digits right the
decimal point
∴ -1.38 = -138/100
- Divide up and down by 2
∴ -1.38 = - 69/50
∴ The change in the index is - 69/50 (-1.38)
Answer: [tex]\dfrac{69}{50}[/tex]
Step-by-step explanation:
A rational number is in the form of [tex]\dfrac{p}{q}[/tex] , where [tex]q\neq0[/tex]. and p and q are integers.
Given : A stock market index drops by 1.38 points.
To convert 1.38 into rational , we divide and multiply it by 100 ( 1.38 is decimal expression up to hundredth) , we get
[tex]1.38\times\dfrac{100}{100}=\dfrac{138}{100}[/tex]
Now , we divide numerator and denominator by 2 , we get
[tex]\dfrac{69}{50}[/tex]
Hence, the rational number represent the change in the index is [tex]\dfrac{69}{50}[/tex].
