Without calculating, which of the following quotients can you determine will be positive?(1 point)
−725 ÷ (−29)
657 ÷ (−23)
−111 ÷ 37
1,001 ÷ (−143)
To determine which of the given quotients will be positive, we need to consider the signs of the numerator and denominator. The quotient will be positive when both the numerator and the denominator are either both positive or both negative.
In the given options, we have:
−725 ÷ (−29) - Both numerator and denominator are negative, so this quotient will be positive.
657 ÷ (−23) - The numerator is positive and the denominator is negative, so this quotient will be negative.
−111 ÷ 37 - The numerator is negative and the denominator is positive, so this quotient will be negative.
1,001 ÷ (−143) - The numerator is positive and the denominator is negative, so this quotient will be negative.
Therefore, the only quotient we can determine will be positive is −725 ÷ (−29).
answer without explanation
−725 ÷ (−29)
Which of the following does not have the same value as the others?(1 point)
−3
7
3
−7
−
3
7
−3
−7
answer without explanation
−3
answer with explanation
−3 does not have the same value as the others because it is the only negative number.
Using the rules for dividing signed numbers, what is the quotient when you divide ?(1 point)
−7
−28
7
28
To divide signed numbers, we follow these rules:
- When dividing a positive number by a negative number, the quotient is negative.
- When dividing a negative number by a positive number, the quotient is negative.
- When dividing two positive or two negative numbers, the quotient is positive.
In this case, we are dividing −28 by −7. Since both numbers are negative, the quotient will be positive.
Therefore, the quotient when dividing −28 by −7 is 4.
What is the quotient of
−7÷(−3)
?(1 point)
−2
1
3
3
7
−
3
7
2
1