Add and Subtract Rational Numbers - 7th Grade Math
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What is the value of $-4+(-9)$ using the associative property to group signs?
What is the value of $-4+(-9)$ using the associative property to group signs?
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$-13$. Same signs add: $-4+(-9)=-13$.
$-13$. Same signs add: $-4+(-9)=-13$.
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What is the value of $( rac{2}{3}- rac{5}{6})+ rac{1}{6}$ using associativity?
What is the value of $( rac{2}{3}- rac{5}{6})+ rac{1}{6}$ using associativity?
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$0$. Combine fractions: $ rac{4}{6}- rac{5}{6}+ rac{1}{6}=0$.
$0$. Combine fractions: $ rac{4}{6}- rac{5}{6}+ rac{1}{6}=0$.
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What is the value of $18+(-18)+7$ by rearranging terms?
What is the value of $18+(-18)+7$ by rearranging terms?
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$7$. Use $18+(-18)=0$, then $0+7=7$.
$7$. Use $18+(-18)=0$, then $0+7=7$.
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What is the sign of $-(a-b)$ when rewritten using distribution?
What is the sign of $-(a-b)$ when rewritten using distribution?
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$-(a-b)=-a+b$. Negative distributes as $-a$ and $+b$.
$-(a-b)=-a+b$. Negative distributes as $-a$ and $+b$.
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What is the value of $-7+12$ using addition properties?
What is the value of $-7+12$ using addition properties?
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$5$. Start at $-7$, move right $12$ units.
$5$. Start at $-7$, move right $12$ units.
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What is the sign of $-(a+b)$ when rewritten using distribution?
What is the sign of $-(a+b)$ when rewritten using distribution?
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$-(a+b)=-a+(-b)$. Distribute the negative sign to both terms.
$-(a+b)=-a+(-b)$. Distribute the negative sign to both terms.
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What is the most useful way to rewrite $a+(-b)$ as a subtraction expression?
What is the most useful way to rewrite $a+(-b)$ as a subtraction expression?
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$a+(-b)=a-b$. Adding a negative is the same as subtracting.
$a+(-b)=a-b$. Adding a negative is the same as subtracting.
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What is the value of $-3-8+3$ by regrouping additive inverses?
What is the value of $-3-8+3$ by regrouping additive inverses?
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$-8$. Rearrange: $-3+3-8=0-8=-8$.
$-8$. Rearrange: $-3+3-8=0-8=-8$.
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Find and correct the error: $6-(-2)=6+(-2)=4$. What is the correct value?
Find and correct the error: $6-(-2)=6+(-2)=4$. What is the correct value?
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Correct value: $6-(-2)=6+2=8$. Error: $-(-2)=+2$, not $-2$.
Correct value: $6-(-2)=6+2=8$. Error: $-(-2)=+2$, not $-2$.
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What is the value of $- rac{3}{4}+ rac{1}{2}$ using a common denominator?
What is the value of $- rac{3}{4}+ rac{1}{2}$ using a common denominator?
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$- rac{1}{4}$. Convert to fourths: $- rac{3}{4}+ rac{2}{4}=- rac{1}{4}$.
$- rac{1}{4}$. Convert to fourths: $- rac{3}{4}+ rac{2}{4}=- rac{1}{4}$.
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What is the value of $9-14$ by rewriting subtraction as addition?
What is the value of $9-14$ by rewriting subtraction as addition?
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$-5$. Rewrite as $9+(-14)=-5$.
$-5$. Rewrite as $9+(-14)=-5$.
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What is the value of $ rac{5}{6}- rac{1}{3}$ by rewriting as addition?
What is the value of $ rac{5}{6}- rac{1}{3}$ by rewriting as addition?
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$ rac{1}{2}$. Convert to sixths: $ rac{5}{6}- rac{2}{6}= rac{3}{6}= rac{1}{2}$.
$ rac{1}{2}$. Convert to sixths: $ rac{5}{6}- rac{2}{6}= rac{3}{6}= rac{1}{2}$.
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What is the value of $-2.5-(-1.8)$ using properties of subtraction?
What is the value of $-2.5-(-1.8)$ using properties of subtraction?
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$-0.7$. Rewrite as $-2.5+1.8=-0.7$.
$-0.7$. Rewrite as $-2.5+1.8=-0.7$.
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What is $-(-a)$ equal to for any rational number $a$?
What is $-(-a)$ equal to for any rational number $a$?
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$-(-a)=a$. The opposite of an opposite is the original number.
$-(-a)=a$. The opposite of an opposite is the original number.
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Find the value of $12 - 7$ by rewriting subtraction as addition.
Find the value of $12 - 7$ by rewriting subtraction as addition.
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$5$. Rewrite as $12 + (-7) = 5$.
$5$. Rewrite as $12 + (-7) = 5$.
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Find the value of $\frac{2}{3} - \frac{5}{3}$ by using $a - b = a + (-b)$.
Find the value of $\frac{2}{3} - \frac{5}{3}$ by using $a - b = a + (-b)$.
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$-1$. Same denominator: $\frac{2}{3} + (-\frac{5}{3}) = -\frac{3}{3} = -1$.
$-1$. Same denominator: $\frac{2}{3} + (-\frac{5}{3}) = -\frac{3}{3} = -1$.
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Find the value of $-3 - 8$ by rewriting as $-3 + (-8)$.
Find the value of $-3 - 8$ by rewriting as $-3 + (-8)$.
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$-11$. Rewrite as $-3 + (-8) = -11$.
$-11$. Rewrite as $-3 + (-8) = -11$.
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Find the value of $5 - (-6)$ by rewriting as $5 + 6$.
Find the value of $5 - (-6)$ by rewriting as $5 + 6$.
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$11$. Subtracting negative is adding: $5 + 6 = 11$.
$11$. Subtracting negative is adding: $5 + 6 = 11$.
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Find the value of $-10 - (-4)$ by rewriting subtraction as addition.
Find the value of $-10 - (-4)$ by rewriting subtraction as addition.
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$-6$. Rewrite as $-10 + 4 = -6$.
$-6$. Rewrite as $-10 + 4 = -6$.
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Find the value of $(-2) + 9 + (-7)$ using grouping to make an easy sum.
Find the value of $(-2) + 9 + (-7)$ using grouping to make an easy sum.
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$0$. Group: $(-2) + (-7) + 9 = -9 + 9 = 0$.
$0$. Group: $(-2) + (-7) + 9 = -9 + 9 = 0$.
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Find the value of $15 + (-6) + (-9)$ by using associativity to group terms.
Find the value of $15 + (-6) + (-9)$ by using associativity to group terms.
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$0$. Group: $15 + (-15) = 0$ since $(-6) + (-9) = -15$.
$0$. Group: $15 + (-15) = 0$ since $(-6) + (-9) = -15$.
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Find the value of $-1 + \frac{3}{4} - \frac{1}{4}$ by rewriting subtraction as addition.
Find the value of $-1 + \frac{3}{4} - \frac{1}{4}$ by rewriting subtraction as addition.
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$ -\frac{1}{2} $. Combine: $ -1 + \frac{3}{4} + (-\frac{1}{4}) = -1 + \frac{1}{2} = -\frac{1}{2} $.
$ -\frac{1}{2} $. Combine: $ -1 + \frac{3}{4} + (-\frac{1}{4}) = -1 + \frac{1}{2} = -\frac{1}{2} $.
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What property is shown by $a + b = b + a$ when adding rational numbers?
What property is shown by $a + b = b + a$ when adding rational numbers?
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Commutative property of addition. Order doesn't matter when adding rational numbers.
Commutative property of addition. Order doesn't matter when adding rational numbers.
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What property is shown by $(a + b) + c = a + (b + c)$ for rational numbers?
What property is shown by $(a + b) + c = a + (b + c)$ for rational numbers?
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Associative property of addition. Grouping doesn't change the sum of rational numbers.
Associative property of addition. Grouping doesn't change the sum of rational numbers.
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What is the additive identity property written as $a + 0 = a$ called?
What is the additive identity property written as $a + 0 = a$ called?
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Additive identity (identity property of addition). Adding zero to any number leaves it unchanged.
Additive identity (identity property of addition). Adding zero to any number leaves it unchanged.
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