M2AL5 - Adding Integers, The Rules!

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Name:_________________________________ M2BL5

Accordino-Math 7

Date:_________

Period:________

Lesson 5: Addition of Integers- “THE RULES”

Bellringer

1) Match the term with their appropriate definition:

_________: Integer a. The opposite of a number, Ex. 10, -10

_________: Additive Inverse b. A statement that two ratios are equivalent

_________: Unit Rate c. A positive or negative whole number

_________: Proportion d. The distance from zero on a number line, |−𝒙|

_________: Absolute Value e. A ratio with a denominator of equal to 1

2) Circle the number in each set with the highest absolute value: a.

10, -2, 15 b.

-1, 0 , -11 c.

-100, -101, 102

Name:_________________________________ M2BL5

Accordino-Math 7

Date:_________

Period:________

Lesson 5: Addition of Integers- “THE RULES”

Notes

Review:

Integer:___________________________________________________________________

Absolute Value: ____________________________________________________________

Ex)

The Additive Inverse:_________________________________________________________________

Ex)

 When we add a number and its opposite we will _______________ get an answer of zero. This is called the

Additive Inverse of a number!!!

Let’s Talk about Signs!

1.

Write a number sentence to find the sum of the integers represented in the diagram below?

What were the signs on both of the integers?

What was the sign of the solution?

2.

Write a number sentence to find the sum of the integers represented in the diagram below?

What were the signs on both of the integers?

What was the sign of the solution?

Name:_________________________________ M2BL5

Accordino-Math 7

Date:_________

Period:________

3.

Write a number sentence to find the sum of the integers represented in the diagram below?

What were the signs on both of the integers?

What was the sign of the solution?

4.

Write a number sentence to find the sum of the integers represented in the diagram below?

What were the signs on both of the integers?

What was the sign of the solution?

“THE RULES”

Adding Integers

With the same sign ( ++ or --)  keep the sign and add absolute values of each integer

“SSA- Same Signs Add”

With different signs (+- or -+)  Take sign of the larger absolute value and subtract absolute values

“DSS- Different Signs Subtract”

Name:_________________________________ M2BL5

Accordino-Math 7

Ex 1) Find the sum of (-12) + (9).

Ex 2) Find the sum of (-125) + (-116).

Ex 3) Find the sum of (125) + (-116).

You Try it!

Find the sum of each expression below using the rules for adding integers. a.

−10 + (−7) b.

8 + (−16) c.

−12 + (65) d.

−105 + (−126) e.

105 + 126 f.

105 + (−126) g.

9 + 11

Date:_________

Period:________

Name:_________________________________ M2BL5

Accordino-Math 7

Date:_________

Period:________

Homework:

1. Circle the integer with the greater absolute value. a. −1 + 2 e. −11 + (−12) b. 5 + (−9) f. −22 + 20 c. −6 + 3 g. 8 + (−2) d. −11 + 1 h. −1 + (−2)

2.

State whether the sum will be positive or negative. (Hint: Trying thinking of each expression as a story problem…money owed, temperature, etc.) i.

−4 + (−2) ii.

5 + 9 iii.

−6 + (−3) iv.

−1 + (−11) v.

3 + 5 + 7 vi.

−20 + (−15)

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3.

Find the sum for each of the expressions below: a.

6 + (-8) = b.

(-17) +(-100) = c.

(-18) + (19) = d. (-15) + (205) = e. 19 + 1004 = f. (-101) + (-202) =

Name:_________________________________ M2BL5

Accordino-Math 7

Date:_________

Period:________

Lesson 5: Addition of Integers- “THE RULES”

Exit Ticket

1) Complete each of the rules for adding integers below

Adding Integers

1) When adding two integers with the same sign ( ++ or --):

_________________________________________________________________________

_________________________________________________________________________

2) When adding two integers with different signs (+- or -+):

_________________________________________________________________________

_________________________________________________________________________

3) Find the sum of (-106) + (14)

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