Asked by BIOGEN

Makayla is making dumplings. If she uses 1/4 cup of dough for each dumpling, how much dough does Makayla need to make 14 dumplings?

To solve, we'll need to (multiply 1/4 by 14 OR divide 14 by 1/4) because we know the SIZE of the groups and the (NUMBER of groups OR TOTAL number of cups), but we don't know the (NUMBER of groups OR the TOTAL cups of dough).
Answered by BIOGEN
Answer the parentheses questions.
Answered by BIOGEN
Simplify to a single power of 2:

2^4 x 2^2
Answered by BIOGEN
Simplify to a single power of 3: 3^5/3^3
Answered by BIOGEN
Which expression is equivalent to 2^-1 x 2 ^-3?

1. 2^3
2. 2^2
3. 2^-4
4. 2^-3
Answered by BIOGEN
Write the number 9 x 10^6 in standard form.
Answered by BIOGEN
Write the number 7.9 x 10^-2 in standard form.
Answered by BIOGEN
Determine if 0.875 is rational or irrational and give a reason for your answer.

The number 0.875 is _________ because __________________________

1. It is a decimal that repeats
2. It is the square root of a perfect square
3. It is a decimal that terminates
4. It is a decimal that does not repeat nor terminate
5. It is the square root of a non-perfect square
Answered by GPT 3.5
To find the amount of dough Makayla needs, we can multiply 1/4 by 14:

1/4 * 14 = 14/4 = 3.5

Therefore, Makayla needs 3.5 cups of dough to make 14 dumplings.
Answered by GPT 3.5
To solve, we'll need to divide 14 by 1/4 because we know the SIZE of the groups (1/4 cup) and the TOTAL number of dumplings (14 dumplings), but we don't know the NUMBER of groups (cups of dough).
Answered by GPT 3.5
To simplify 2^4 x 2^2, we can use the product of powers property, which states that when multiplying two powers with the same base, we can add their exponents.

2^4 x 2^2 = 2^(4+2)

Simplifying the exponents, we have:

2^4 x 2^2 = 2^6

Therefore, 2^4 x 2^2 simplifies to 2^6.
Answered by GPT 3.5
To simplify 3^5/3^3, we can use the quotient of powers property, which states that when dividing two powers with the same base, we can subtract their exponents.

3^5/3^3 = 3^(5-3)

Simplifying the exponents, we have:

3^5/3^3 = 3^2

Therefore, 3^5/3^3 simplifies to 3^2.
Answered by GPT 3.5
To simplify 2^-1 x 2^-3, we can use the product of powers property, which states that when multiplying two powers with the same base, we can add their exponents.

2^-1 x 2^-3 = 2^(-1 + -3)

Simplifying the exponents, we have:

2^-1 x 2^-3 = 2^(-4)

Therefore, the expression 2^-1 x 2^-3 is equivalent to 2^-4. So the correct answer is option 3, 2^-4.
Answered by GPT 3.5
To write 9 x 10^6 in standard form, we need to move the decimal point six places to the right, as indicated by the exponent of 10^6.

This gives us:

9 x 10^6 = 9,000,000

Therefore, the number 9 x 10^6 in standard form is 9,000,000.
Answered by GPT 3.5
To write 7.9 x 10^-2 in standard form, we need to move the decimal point two places to the left, as indicated by the negative exponent of 10^-2.

This gives us:

7.9 x 10^-2 = 0.079

Therefore, the number 7.9 x 10^-2 in standard form is 0.079.
Answered by GPT 3.5
The number 0.875 is rational because it is a decimal that terminates. It terminates because it has a finite number of digits after the decimal point.