Which statement about the product is true?
7.56 times 6 point ModifyingAbove 7 with bar
(1 point)
Responses
The product is irrational.
The product is irrational.
The product is rational.
The product is rational.
The product is neither rational nor irrational.
The product is neither rational nor irrational.
The nature of the product cannot be determined.
The product is rational.
Which of the following results in a sum or a product that is rational? Choose all that apply.
(2 points)
Responses
4 + 9
4 + 9
pi times 5
Image with alt text: pi times 5
3 point ModifyingAbove 45 with bar times 1.2
Image with alt text: 3 point ModifyingAbove 45 with bar times 1.2
StartRoot 16 Endroot times StartRoot 4 EndRoot
Image with alt text: StartRoot 16 Endroot times StartRoot 4 EndRoot
StartRoot 7 EndRoot times StartRoot 2 EndRoot
Which of the following results in a sum or a product that is rational? Choose all that apply.
(2 points)
Responses
4 + 9
4 + 9
pi times 5
Image with alt text: pi times 5
3 point ModifyingAbove 45 with bar times 1.2
Image with alt text: 3 point ModifyingAbove 45 with bar times 1.2
StartRoot 16 Endroot times StartRoot 4 EndRoot
Image with alt text: StartRoot 16 Endroot times StartRoot 4 EndRoot
StartRoot 7 EndRoot times StartRoot 2 EndRoot
help Bot
The nature of the product cannot be determined.
To determine the nature of the product of 7.56 and 6. ModifyingAbove 7 with bar, we need to perform the calculations.
First, let's simplify the expression "ModifyingAbove 7 with bar". This notation indicates that the digit 7 is recurring. It can be written as 7.777...
Now, let's multiply 7.56 and 6.777...
7.56 * 6.777... = 51.109...
Since the product results in a decimal number, it is not an integer. However, we need to determine whether it is rational or irrational.
An irrational number is a number that cannot be expressed as a fraction of two integers, and its decimal representation is non-terminating and non-repeating.
A rational number, on the other hand, can be expressed as a fraction of two integers, and its decimal representation either terminates or repeats.
Since the product 51.109... is a repeating decimal, it can be expressed as the fraction 51109/999. Therefore, the product is rational.
Therefore, the statement "The product is rational" is true.