Divide Rational Numbers Quick Check
1 of 51 of 5 Items
Question
Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses
−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
−111 ÷ 37
negative 111 divided by 37
1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis
657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis
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Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses
−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
−111 ÷ 37
negative 111 divided by 37
1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis
657 ÷ (−23)
To determine whether the quotient will be positive or negative, we need to know the rule that states "a negative number divided by a negative number is positive."
Looking at the options, we can see that only the first option, −725 ÷ (−29), has a negative number divided by a negative number. Therefore, we can determine that the quotient for this option will be positive.
So the correct answer is:
−725 ÷ (−29)
Question
Which of the following does not have the same value as the others?(1 point)
Responses
−37
negative Start Fraction 3 over 7 End Fraction
−3−7
Start Fraction negative 3 over negative 7 End Fraction
3−7
Start Fraction 3 over negative 7 End Fraction
−37
To determine which of the options does not have the same value as the others, we need to evaluate the values.
Looking at the options, we can see that the first three options are written as fractions, whereas the fourth option is a whole number.
To compare the fraction options, let's simplify them:
-37 = -37
-3/7 = -3/7
3/-7 = -3/7
Therefore, the third option, 3−7, does not have the same value as the others.
So the correct answer is:
3−7
Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses
−7
negative 7
28
28
−28
negative 28
7
To divide signed numbers, we follow the rule that states "a negative number divided by a positive number is negative, and a positive number divided by a negative number is also negative."
Using this rule, let's simplify the expression:
56 ÷ (-4) ÷ (-2)
When we divide 56 by -4, we get -14:
-14 ÷ (-2)
Now, when we divide -14 by -2, the quotient is positive:
-14 ÷ (-2) = 7
Therefore, the correct answer is:
7
What is the quotient of −7÷(−3)?(1 point)
Responses
−37
negative Start Fraction 3 over 7 End Fraction
213
2 Start Fraction 1 over 3 End Fraction
37
Start Fraction 3 over 7 End Fraction
−213
negative 2 Start Fraction 1 over 3 End Fraction
To find the quotient of -7 ÷ (-3), we can follow the rule that states "a negative number divided by a negative number is positive."
Therefore, the quotient of -7 ÷ (-3) is positive, and the value is:
-7 ÷ (-3) = 7/3
So the correct answer is:
Start Fraction 7 over 3 End Fraction
What is the quotient of −7÷(−3)?(1 point)
Responses
−37
negative Start Fraction 3 over 7 End Fraction
213
2 Start Fraction 1 over 3 End Fraction
37
Start Fraction 3 over 7 End Fraction
−213
To find the quotient of -7 ÷ (-3), we can follow the rule that states "a negative number divided by a negative number is positive."
Therefore, the quotient of -7 ÷ (-3) is positive, and the value is:
-7 ÷ (-3) = 7/3
So the correct answer is:
Start Fraction 7 over 3 End Fraction