5 answers
To divide \(-57\) by \(-19\), you divide the absolute values and then determine the sign.
Divide the absolute values: \[ 57 \div 19 = 3 \] (because \(19 \times 3 = 57\))
Since both numbers are negative, the result will be positive.
Therefore, \[ -57 \div -19 = 3 \]
So, the final answer is: \[ 3 \]
The equation \(-125 + 25 + 25 + 25 + 25 + 25 = 0\) can be interpreted as a series of additions that offset the initial value of \(-125\) with the repeated addition of \(25\).
Here's a breakdown:
To convert this into a division problem, we can consider how many times \(25\) fits into \(-125\).
If you look for the result of dividing \(-125\) by \(25\): \[ -125 \div 25 = -5 \]
This division indicates how many times \(25\) needs to be added together (or subtracted in the context of starting at \(-125\)) to reach \(0\), which corresponds to adding \(25\) five times to offset the negative.
Thus, the division that is modeled by this operation can be understood as: \[ -125 \div 25 = -5 \]
The equation given is:
\[ 46 + (-23) + (-23) = 0 \]
This can be interpreted step by step:
Then, simplifying to:
\[ 46 + 2(-23) = 0 \]
This shows that we are adding \(46\) and \(2\) times \(-23\), which indeed equals \(0\).
To relate this to division:
If we want to find a division that is modeled here, consider how many times \(-23\) fits into \(46\):
Since adding \(46\) and subtracting \(23\) twice leads to \(0\), we can also express it using division:
The equation can help us figure out: \[ 46 = -2(23) \]
When dividing \(46\) by \(-23\): \[ 46 \div (-23) = -2 \]
This means that \(46\) is equal to \(-2\) times \(-23\).
In summary, the division modeled by the initial equation is: \[ 46 \div -23 = -2 \]
