Question

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

Answer 1

Answer:
`(69)/(50)`

Explanation:

A rational number is in the form of
`(p)/(q)` , where
`q\\eq0`. 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*(100)/(100)=(138)/(100)`

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

`(69)/(50)`

Hence, the rational number represent the change in the index is
`(69)/(50)`.

Answer 2

The change in the index is - 69/50

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)