Divide Rational Numbers Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Divide −9
by 27
. Write the answer as a simplified fraction with the correct sign.
To divide -9 by 27, we divide the absolute values of the numbers and determine the sign of the result.
|-9| / |27| = 9/27
Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 9.
9/27 = 1/3
Since -9 is negative, the final answer is -1/3.
Divide 11 by −4
. Write the answer as a mixed number with the correct sign.
To divide 11 by -4, we divide the absolute values of the numbers and determine the sign of the result.
|11| / |-4| = 11/4
Next, we simplify the fraction.
11/4 = 2 3/4
Since 11 is positive and -4 is negative, the final answer is -2 3/4.
Question
What is the quotient of −91÷(−13)÷7
To find the quotient of -91 ÷ (-13) ÷ 7, we first perform the division between -91 and -13, and then divide the result by 7.
-91 ÷ (-13) = 7
Now, we divide the result by 7.
7 ÷ 7 = 1
Therefore, the quotient of -91 ÷ (-13) ÷ 7 is 1.
What is the quotient of 72÷(4)÷(−6)
To find the quotient of 72 ÷ 4 ÷ (-6), we perform the division in the given order.
First, we divide 72 by 4:
72 ÷ 4 = 18
Next, we divide 18 by (-6):
18 ÷ (-6) = -3
Therefore, the quotient of 72 ÷ 4 ÷ (-6) is -3.
how
Apologies for the confusion in my previous response. I made an error. Let's correctly calculate the quotient of 72 ÷ 4 ÷ (-6).
To solve this, we follow the order of operations, which is parentheses, then division, from left to right.
First, we divide 72 by 4:
72 ÷ 4 = 18
Next, we divide 18 by (-6):
18 ÷ (-6) = -3
Therefore, the correct quotient of 72 ÷ 4 ÷ (-6) is -3.
Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses
657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis
−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
−111 ÷ 37
negative 111 divided by 37
1,001 ÷ (−143
To determine which of the given quotients will be positive,
we need to consider the signs of the numbers involved.
A quotient will be positive if:
- Both the dividend and divisor are positive, or
- Both the dividend and divisor are negative.
Based on this, we can determine that the following quotients will be positive:
657 ÷ (−23) : This quotient will be negative since the dividend is positive and the divisor is negative.
−725 ÷ (−29) : This quotient will be positive since both the dividend and divisor are negative.
−111 ÷ 37 : This quotient will be negative since the dividend is negative and the divisor is positive.
1,001 ÷ (−143) : This quotient will be negative since the dividend is positive and the divisor is negative.
Therefore, none of the given quotients will be positive.
Which of the following does not have the same value as the others?(1 point)
Responses
3−7
Start Fraction 3 over negative 7 End Fraction
−37
negative Start Fraction 3 over 7 End Fraction
−3−7
The given expressions are:
1. 3 - 7
2. -37
3. - 3 - 7
To determine which expression does not have the same value as the others, we can simplify each expression:
1. 3 - 7 = -4
2. -37 = -37
3. -3 - 7 = -10
Therefore, the expression that does not have the same value as the others is -3 - 7, since it simplifies to -10, while the other expressions simplify to -4 and -37 respectively.
Which of the following does not have the same value as the others?(1 point)
Responses
-3/7
Start Fraction 3 over negative 7 End Fraction
−3-/-7
negative Start Fraction 3 over 7 End Fraction
−3-/7
The given expressions are:
1. -3/7
2. -3/(-7)
3. -3/7
To determine which expression does not have the same value as the others, we can simplify each expression:
1. -3/7: This is already in simplified form.
2. -3/(-7): When we divide -3 by -7, it becomes positive since a negative divided by a negative is positive. Therefore, -3/(-7) simplifies to 3/7.
3. -3/7: This is already in simplified form.
Comparing the simplified forms, we have:
1. -3/7
2. 3/7
3. -3/7
From this, expression 2 (3/7) does not have the same value as the others (-3/7) and (-3/7).
Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses
7
7
−28
negative 28
28
28
−7
To divide 56 ÷ (-4) ÷ (-2), we follow the order of operations, which is division from left to right.
First, we divide 56 by (-4):
56 ÷ (-4) = -14
Next, we divide -14 by (-2):
-14 ÷ (-2) = 7
Therefore, the quotient when dividing 56 ÷ (-4) ÷ (-2) is 7.
What is the quotient of −7÷(−3)?(1 point)
Responses
−37
negative Start Fraction 3 over 7 End Fraction
−213
negative 2 Start Fraction 1 over 3 End Fraction
213
2 Start Fraction 1 over 3 End Fraction
37
To find the quotient of -7 ÷ (-3), we divide the numerator by the denominator using the rules of dividing signed numbers.
-7 ÷ (-3) = 7 ÷ 3
Since both numbers are negative, the quotient will be positive.
7 ÷ 3 can be written as a mixed number: 2 1/3.
Therefore, the quotient of -7 ÷ (-3) is 2 1/3.
Question
Which statement is correct?(1 point)
Responses
Division is both commutative and associative.
Division is both commutative and associative.
Division is neither commutative nor associative.
Division is neither commutative nor associative.
Division is associative but not commutative.
Division is associative but not commutative.
Division is commutative but not associati
The correct statement is: Division is neither commutative nor associative.
Commutative property states that changing the order of the numbers being divided does not change the result. However, in division, changing the order of the numbers does change the result. For example, 10 ÷ 5 is not the same as 5 ÷ 10.
Associative property states that changing the grouping of the numbers being divided does not change the result. Again, in division, changing the grouping of numbers does change the result. For example, (12 ÷ 3) ÷ 2 is not the same as 12 ÷ (3 ÷ 2).
Therefore, division is neither commutative nor associative.
you guys are dumb, RIGHT THE ANSWER!!!!
I apologize if my previous response was not satisfactory.
The correct statement is: Division is neither commutative nor associative.
your a smart bot
Thank you for your kind words! I strive to provide accurate and helpful information. If you have any more questions or need further assistance, feel free to ask!
whats gokus power level
Goku's power level varies throughout the Dragon Ball series, as he consistently grows stronger through training and battles. In the original Dragon Ball series, Goku's power level increases from around 10 at the start of the series to over 900 during the finale. In subsequent series like Dragon Ball Z and Dragon Ball Super, Goku's power level continues to increase exponentially, reaching levels in the millions, billions, and even higher during various arcs and transformations.
It's important to note that power levels in Dragon Ball are not always consistent or strictly defined, as they can change based on the plot and the characters' transformations.
is vegeta stronger than goku?
In the Dragon Ball series, the power dynamic between Vegeta and Goku has been a topic of much debate and discussion among fans. Both characters have had their moments of being stronger than the other at different points in the series.
Initially, Vegeta was introduced as a rival to Goku and held an edge in power level during the Saiyan Saga. However, as the series progressed, Goku surpassed Vegeta in various power levels and transformations such as Super Saiyan, Super Saiyan God, and Ultra Instinct.
That being said, it is important to note that the power balance in Dragon Ball is often dynamic and subject to change with new storylines and power-ups. Goku and Vegeta continue to push each other to new heights, and their power levels can fluctuate based on different arcs and transformations.
Ultimately, whether Vegeta is stronger than Goku or vice versa can depend on the specific point in the series being referenced.