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Multiply −18⋅(−3) (1 point) Responses 54 54 −54 negative 54 −21 negative 21 48
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you sure
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Megan is taking a road trip. She travels 60 miles each hour. How far does she drive in 15 hours?(1 point) Responses 4 hours 4 hours 75 miles 75 miles 900 miles 900 miles 45 miles
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Multiply 21⋅(−7) (1 point) Responses 147 147 −147 negative 147 −3 negative 3 13
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Connect the model −(25+25+25) to the algorithm for solving the multiplication problem it models.(1 point) Responses The model represents 3⋅(−25), which is solved by multiplying 3 times 25 to get 75. The model represents 3 times left parenthesis negative 25 right parenthesis , which is solved by multiplying 3 times 25 to get 75. The model represents −3⋅25, which is solved by multiplying 3 times 25 and changing the sign to get −75. The model represents negative 3 times 25 , which is solved by multiplying 3 times 25 and changing the sign to get negative 75 . The model represents −3⋅(−25), which is solved by multiplying 3 times 25 to get 75. The model represents negative 3 times left parenthesis negative 25 right parenthesis , which is solved by multiplying 3 times 25 to get 75. The model represents 3⋅(−25), which is solved by multiplying 3 times 25 and changing the sign to get −75.
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Connect the model −4+−4+−4+−4+−4+−4 to the algorithm for solving the multiplication problem it models.(1 point) Responses The model represents 6⋅(−4), which is solved by multiplying 6 times 4 and changing the sign to get −24. The model represents 6 times left parenthesis negative 4 right parenthesis , which is solved by multiplying 6 times 4 and changing the sign to get negative 24 . The model represents −4⋅6, which is solved by multiplying 4 times 6 and changing the sign to get −24. The model represents negative 4 times 6 , which is solved by multiplying 4 times 6 and changing the sign to get negative 24 . The model represents −6⋅4, which is solved by multiplying 6 times 4 and changing the sign to get −24. The model represents negative 6 times 4 , which is solved by multiplying 6 times 4 and changing the sign to get negative 24 . The model represents 4⋅(−6) which is solved by multiplying 4 times 6 and changing the sign to get −24. The model represents 4 times left parenthesis negative 6 right parenthesis which is solved by multiplying 4 times 6 and changing the sign to get negative 24 .
Answered by GPT-4o mini
To multiply \(-18 \cdot (-3)\), you can follow these steps:

1. Multiply the absolute values: \(18 \cdot 3 = 54\).
2. Since you are multiplying two negative numbers, the result is positive.

Therefore, \(-18 \cdot (-3) = 54\).

The correct response is **54**.
Answered by GPT-4o mini
Yes, I am sure. The multiplication of two negative numbers results in a positive number.

So, for \(-18 \cdot (-3)\):

1. Calculate the absolute values: \(18 \cdot 3 = 54\).
2. Since both numbers are negative, the result is positive.

Thus, \(-18 \cdot (-3) = 54\).

If you have any more questions or need further clarification, feel free to ask!
Answered by GPT-4o mini
To find out how far Megan drives in 15 hours while traveling at a speed of 60 miles per hour, you can use the formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values:

\[ \text{Distance} = 60 \text{ miles/hour} \times 15 \text{ hours} \]

\[ \text{Distance} = 900 \text{ miles} \]

Therefore, Megan drives **900 miles** in 15 hours. The correct response is **900 miles**.
Answered by GPT-4o mini
To multiply \(21 \cdot (-7)\):

1. Multiply the absolute values: \(21 \cdot 7 = 147\).
2. Since one number is negative, the result will also be negative.

Thus, \(21 \cdot (-7) = -147\).

The correct response is **−147**.
Answered by GPT-4o mini
The model \(- (25 + 25 + 25)\) can be simplified to \(- (3 \cdot 25)\), which is the same as \(-3 \cdot 25\).

To connect this to the algorithm for solving the multiplication problem it models:

1. **Identify the operation**: The expression \(- (25 + 25 + 25)\) simplifies to \(-3 \cdot 25\).
2. **Use the multiplication algorithm**: To solve \(-3 \cdot 25\), you multiply \(3\) by \(25\) to get \(75\) and then change the sign because of the negative multiplier.

Thus, the correct response is:

**The model represents \(-3 \cdot 25\), which is solved by multiplying \(3\) times \(25\) and changing the sign to get \(-75\).**
Answered by GPT-4o mini
The model \(-4 + -4 + -4 + -4 + -4 + -4\) can be interpreted as adding \(-4\) a total of \(6\) times, which can be written as \(-6 \cdot 4\).

To connect this to the algorithm for solving the multiplication problem it models:

1. **Identify the operation**: The expression can be simplified to \(-6 \cdot 4\).
2. **Use the multiplication algorithm**: To solve \(-6 \cdot 4\), you multiply \(6\) by \(4\) to get \(24\) and then change the sign because of the negative multiplier.

Thus, the correct response is:

**The model represents \(-6 \cdot 4\), which is solved by multiplying \(6\) times \(4\) and changing the sign to get \(-24\).**