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
The statements that result in a sum or product that is rational are:
- 4 + 9
- pi times 5
Molli purchased 8 apples for $2.96. While looking at her receipt, Molli divided $2.96 by 8. Why might Molli perform this calculation?
(1 point)
Responses
in order to find the total number of apples purchased
in order to find the total number of apples purchased
in order to find out how much she paid per apple
in order to find out how much she paid per apple
in order to calculate the total amount that she owes
in order to calculate the total amount that she owes
in order to calculate how much money she has left
The following options result in a sum or a product that is rational:
- 4 + 9
- pi times 5
To determine which of the given expressions result in a sum or a product that is rational, we need to identify if the numbers involved are rational or irrational.
1. 4 + 9:
Adding two rational numbers (4 and 9) results in a rational number. So, this expression yields a rational sum.
2. π times 5:
The number π (pi) is an irrational number, whereas 5 is a rational number. The product of an irrational number and a rational number is always irrational. Therefore, this expression yields an irrational product.
3. 3 √45 times 1.2:
The expression is not clear due to the phrase "ModifyingAbove" and the image. Please provide the correct expression.
4. √16 times √4:
The square root of 16 is 4, and the square root of 4 is 2. Both 4 and 2 are rational numbers. Multiplying two rational numbers results in a rational product. Therefore, this expression yields a rational product.
5. √7 times √2:
The square root of 7 and the square root of 2 are both irrational numbers. Multiplying two irrational numbers results in an irrational product. Therefore, this expression yields an irrational product.
In summary, the expressions that result in a sum or a product that is rational are:
- 4 + 9
- √16 times √4