To determine if a quotient will be positive, we need to check if both the dividend and the divisor have the same sign (either both positive or both negative).
1) -725 ÷ (-29) - Both the dividend and divisor are negative, so the quotient will be positive.
2) 1,001 ÷ (-143) - The dividend is positive while the divisor is negative, so the quotient will be negative.
3) 657 ÷ (-23) - The dividend is positive while the divisor is negative, so the quotient will be negative.
4) -111 ÷ 37 - Both the dividend and divisor are negative, so the quotient will be positive.
Therefore, the quotients that can be determined will be positive are: -725 ÷ (-29) and -111 ÷ 37.
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
1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis
657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis
−111 ÷ 37
7 answers
Which of the following does not have the same value as the others?(1 point)
Responses
−3/7
− 3/7
3/.−7
−3/−7
Responses
−3/7
− 3/7
3/.−7
−3/−7
To determine which expression does not have the same value as the others, we need to simplify each expression and compare.
1) −3/7 - This expression is already simplified.
2) − 3/7 - This expression is the same as -3/7, just written with a space before the negative sign.
3) 3/.−7 - This expression is not simplified. We need to divide 3 by -7 to get the simplified form. 3 divided by -7 is -3/7.
4) −3/−7 - This expression is the same as 3/7, but with a negative sign in both the numerator and denominator.
So, the expression that does not have the same value as the others is 3/.−7.
1) −3/7 - This expression is already simplified.
2) − 3/7 - This expression is the same as -3/7, just written with a space before the negative sign.
3) 3/.−7 - This expression is not simplified. We need to divide 3 by -7 to get the simplified form. 3 divided by -7 is -3/7.
4) −3/−7 - This expression is the same as 3/7, but with a negative sign in both the numerator and denominator.
So, the expression that does not have the same value as the others is 3/.−7.
Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses
7
7
−7
negative 7
−28
negative 28
28
Responses
7
7
−7
negative 7
−28
negative 28
28
To simplify the expression 56 ÷ (−4) ÷ (−2), we follow the rules for dividing signed numbers.
First, we divide 56 by -4.
56 ÷ (-4) = -14
Next, we divide -14 by -2.
-14 ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (−4) ÷ (−2) is 7.
First, we divide 56 by -4.
56 ÷ (-4) = -14
Next, we divide -14 by -2.
-14 ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (−4) ÷ (−2) is 7.
Which statement is correct?(1 point)
Responses
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 associative.
Division is commutative but not associative.
Division is both commutative and associative.
Responses
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 associative.
Division is commutative but not associative.
Division is both commutative and associative.
The correct statement is: Division is neither commutative nor associative.