Question

A stock market index drops by 1.38 points. What rational number represent the change in the index

Answer 1

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 2

Answer: $\dfrac{69}{50}$

Step-by-step explanation:

A rational number is in the form of $\dfrac{p}{q}$ , where $q\neq0$. 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

$1.38\times\dfrac{100}{100}=\dfrac{138}{100}$

Now , we divide  numerator and denominator by 2 , we get

$\dfrac{69}{50}$

Hence, the rational number represent the change in the index is $\dfrac{69}{50}$.