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Adding Integers The University of Texas at Dallas

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Page 1: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

Adding Integers

The University of Texas at Dallas

Page 2: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

INTRODUCTION TO INTEGERSWe can represent integers using red and

yellow counters.

Red circles will represent negative integers, and yellow circles will represent positive integers.

The University of Texas at Dallas

Negative integer Positive integer

Page 3: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

Zero PairIf we add one red and one yellow together

what do they equal?

0!!! So we call them a zero pair.

The University of Texas at Dallas

Negative integer Positive integer+ = 0

Page 4: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

INTRODUCTION TO INTEGERSThe diagrams below show 2 ways to

represent -3.

Represent -3 in 2 more ways.

The University of Texas at Dallas

-3 -3

Page 5: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

INTRODUCTION TO INTEGERSTell which integer each group of tiles

represents.

The University of Texas at Dallas

-2 +1

ANSWER+2

Page 6: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

INTRODUCTION TO INTEGERSIf there are the same number of red tiles as yellow tiles, what number is represented?

It represents 0. It has 3 zero pairs!The University of Texas at Dallas

Page 7: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

ADDING INTEGERSWe can model integer addition with color counters.

Represent -2 with the fewest number of counters.

Represent +5 with the fewest number of color counters.

The University of Texas at Dallas

Page 8: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

ADDING INTEGERSWhat number is represented by combining the

2 groups of tiles?

Write the number sentence that is illustrated. -2 + +5 = +3

The University of Texas at Dallas

+3

Page 9: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

ADDING INTEGERSUse your red and yellow tiles to find each

sum.

-2 + -3 = ?

The University of Texas at Dallas

ANSWER

+ = -5

-2 + -3 = -5

Page 10: The University of Texas at Dallas. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red circles will represent negative

ADDING INTEGERS

The University of Texas at Dallas

-6 + +2 = ?

+ = - 4

+ = +1

-3 + +4 = ?

ANSWER

ANSWER

-6 + +2 = -4

-3 + +4 = +1


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