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 Use the positive and negative rules to rewrite and answer the questions below. The first one is done for you. 6 - (-3) =  2 - (-7) =   -8 +(-6) = 6 + 3 = 9 2 + 7 = 9 -8 - 6 = -14 -4 - (+5) = -14 - (-6) = 9 + (-8) = - 4 - 5 = -9 -14 + 6 = -8 9 - 8 = 1 Answer the questions below. 2 - (-4) =  6   5 + 6 =  11   6 - 3 =  3   19 - 20 =  -1   -1 - (-9) =  8   12 + 7 =  19   -12 + 12 =  0 6 + (-3) =  3   11 - (-3) =  14   -7 - 4 =  -11   -15 - (-6) =  -9   6 + 4 =  10   14 - 6 =  8   -7 - 4 =  -11 -10 + (-4) =  -14   9 - 10 =  -1   -5 - (-2) =  -3   -7 - (-7) =  0   -10 - 10 =  -20   76 - (-3) =  79   60 + (-10) =  50 -18 - (-7) =  -11   -6 + (-10) =  -16   4 - (-4) =  8   22 + (-5) =  17   16 - (-8) =  24   76 + (-6) =  70   -12 - (-8) =  -4

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## Related Resources

The various resources listed below are aligned to the same standard, (7NS01) taken from the CCSM (Common Core Standards For Mathematics) as the Integers Worksheet shown above.

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

• Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
• Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
• Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
• Apply properties of operations as strategies to add and subtract rational numbers.

### Worksheet

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers