Understand Additive Inverses - 7th Grade Math
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Which option is a pair of additive inverses: $(-6, 6)$ or $(-6, -6)$?
Which option is a pair of additive inverses: $(-6, 6)$ or $(-6, -6)$?
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$(-6, 6)$. Opposites have different signs.
$(-6, 6)$. Opposites have different signs.
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What is $9 + (-9)$?
What is $9 + (-9)$?
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$0$. A number plus its opposite equals zero.
$0$. A number plus its opposite equals zero.
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What is $-4 + 4$?
What is $-4 + 4$?
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$0$. Opposites cancel each other out.
$0$. Opposites cancel each other out.
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Find and correct the error: “The additive inverse of $-9$ is $-9$.”
Find and correct the error: “The additive inverse of $-9$ is $-9$.”
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Correct: The additive inverse of $-9$ is $9$. The inverse of negative is positive.
Correct: The additive inverse of $-9$ is $9$. The inverse of negative is positive.
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What is $-\frac{5}{6} + \frac{5}{6}$?
What is $-\frac{5}{6} + \frac{5}{6}$?
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$0$. Negative and positive fractions cancel.
$0$. Negative and positive fractions cancel.
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What is the net elevation change if you go up $30$ m and then down $30$ m?
What is the net elevation change if you go up $30$ m and then down $30$ m?
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$0$ m. Up and down movements cancel.
$0$ m. Up and down movements cancel.
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Identify the missing number $x$ so that $x + (-0.2) = 0$.
Identify the missing number $x$ so that $x + (-0.2) = 0$.
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$0.2$. Need positive to cancel negative $0.2$.
$0.2$. Need positive to cancel negative $0.2$.
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What is the definition of an additive inverse of a number $a$?
What is the definition of an additive inverse of a number $a$?
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The number $-a$, because $a + (-a) = 0$. Additive inverses sum to zero by definition.
The number $-a$, because $a + (-a) = 0$. Additive inverses sum to zero by definition.
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What is $2.5 + (-2.5)$?
What is $2.5 + (-2.5)$?
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$0$. Decimal opposites sum to zero.
$0$. Decimal opposites sum to zero.
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What is $\frac{1}{3} + -\frac{1}{3}$?
What is $\frac{1}{3} + -\frac{1}{3}$?
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$0$. Opposite fractions sum to zero.
$0$. Opposite fractions sum to zero.
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Identify the missing number $x$ so that $-\frac{3}{4} + x = 0$.
Identify the missing number $x$ so that $-\frac{3}{4} + x = 0$.
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$\frac{3}{4}$. Positive fraction cancels the negative.
$\frac{3}{4}$. Positive fraction cancels the negative.
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What is the sum of a number and its opposite, $a + (-a)$?
What is the sum of a number and its opposite, $a + (-a)$?
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$0$. Additive inverses always sum to zero.
$0$. Additive inverses always sum to zero.
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Which number is the additive inverse of $7$?
Which number is the additive inverse of $7$?
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$-7$. The opposite of positive $7$ is negative $7$.
$-7$. The opposite of positive $7$ is negative $7$.
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What is the net change if you deposit $10$ and then withdraw $10$?
What is the net change if you deposit $10$ and then withdraw $10$?
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$0$. Deposit and withdrawal cancel out.
$0$. Deposit and withdrawal cancel out.
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What is the additive inverse of $\frac{5}{6}$?
What is the additive inverse of $\frac{5}{6}$?
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$-\frac{5}{6}$. Change the sign to find the inverse.
$-\frac{5}{6}$. Change the sign to find the inverse.
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Find and correct the false statement: "$-7$ is the additive inverse of $-7$." What is the correct inverse?
Find and correct the false statement: "$-7$ is the additive inverse of $-7$." What is the correct inverse?
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Correct inverse: $7$. The inverse of $-7$ is $7$, not itself.
Correct inverse: $7$. The inverse of $-7$ is $7$, not itself.
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What is the additive inverse of $-12$?
What is the additive inverse of $-12$?
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$12$. The opposite of negative is positive.
$12$. The opposite of negative is positive.
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What is the net elevation change for going up $200$ ft and then down $200$ ft?
What is the net elevation change for going up $200$ ft and then down $200$ ft?
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$0$ ft. Equal up and down movements cancel.
$0$ ft. Equal up and down movements cancel.
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What is the sum of a number and its opposite, written $a + (-a)$?
What is the sum of a number and its opposite, written $a + (-a)$?
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$0$. Opposite numbers cancel each other out.
$0$. Opposite numbers cancel each other out.
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What is the additive inverse of $9$?
What is the additive inverse of $9$?
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$-9$. The opposite of positive is negative.
$-9$. The opposite of positive is negative.
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What is the value of $\frac{3}{4} + \left(-\frac{3}{4}\right)$?
What is the value of $\frac{3}{4} + \left(-\frac{3}{4}\right)$?
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$0$. Opposite fractions sum to zero.
$0$. Opposite fractions sum to zero.
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Which expression represents opposite quantities combining to make $0$: $7+7$ or $7+(-7)$?
Which expression represents opposite quantities combining to make $0$: $7+7$ or $7+(-7)$?
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$7+(-7)$. Opposites have different signs and sum to zero.
$7+(-7)$. Opposites have different signs and sum to zero.
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Identify the temperature change that cancels a drop of $-6^{\circ}\text{C}$ to make $0^{\circ}\text{C}$ change.
Identify the temperature change that cancels a drop of $-6^{\circ}\text{C}$ to make $0^{\circ}\text{C}$ change.
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An increase of $6^{\circ}\text{C}$. Opposite temperature changes sum to zero.
An increase of $6^{\circ}\text{C}$. Opposite temperature changes sum to zero.
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What is the net change after a gain of $10$ points and a loss of $10$ points?
What is the net change after a gain of $10$ points and a loss of $10$ points?
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$0$ points. Equal gains and losses cancel out.
$0$ points. Equal gains and losses cancel out.
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What is the opposite of a deposit of $$ dollars: a deposit of $50$ or a withdrawal of $50$?
What is the opposite of a deposit of $$ dollars: a deposit of $50$ or a withdrawal of $50$?
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A withdrawal of $50$ dollars (represented by $-50$). Deposits and withdrawals are opposites.
A withdrawal of $50$ dollars (represented by $-50$). Deposits and withdrawals are opposites.
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