Integers are the whole numbers and their opposites.

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Presentation transcript:

Integers are the whole numbers and their opposites.

Section 1: Introduction and read-world connection. Section 2:Apply the rules for adding integers. Section 3:Board Activity.

Adding Integers

Measurements and distances often involve working with both positive ( + ) and negative ( - ) numbers.

 Has anyone ever gone scuba diving?  If you had the chance to go scuba diving, would you go?

I probably would not… I’m too much of a chicken!

Key Largo - Part of the Florida Keys

Christ of the Abyss

 With hundreds of weddings performed each year in front of the statue of Christ, it is one of the most photographed areas in Key Largo.  On the other hand… funerals are held at the site as well. Many people ask that their ashes be laid to rest there.

 The area has some interesting brain coral and structures.

Section 1: Introduction and read-world connection. Section 2:Apply the rules for adding integers. Section 3:Board Activity.

Apply the Rules for Adding Integers

Write the following decimals as a fraction: 1).152).2363).4915 Write the following fractions as a decimal: 1) 153/999 2) 23/993) 461/9999

Write the following decimals as a fraction: 1).152).2363).4915 Write the following fractions as a decimal: 1) 153/999 2) 23/993) 461/ /99236/ /

Solve: ̶ 2 + ( ̶ 4) Look at the signs directly in front of each number. Same Signs… ADD the numbers. KEEP the sign. Different Signs… SUBTRACT the numbers. Give sign of the bigger digit. Same Signs ADD the numbers. KEEP the sign. 6 ̶ 6 ̶ 6

Solve: ̶ Look at the signs directly in front of each number. Same Signs… ADD the numbers. KEEP the sign. Different Signs… SUBTRACT the numbers. Give sign of the bigger digit. Different Signs SUBTRACT the numbers. Give sign of the bigger digit. (An 11 is bigger than a 7. The 11 is positive, so my answer will be positive.) 4 4

̶ 51 + ( ̶ 19) ̶ ( ̶ 30) Same Signs Add the digits and Keep the sign. Different Signs Subtract the digits and give sign of the bigger digit.

̶ 63 + ( ̶ 20) ( ̶ 105) ̶ Same Signs Add the digits and Keep the sign. Different Signs Subtract the digits and give sign of the bigger digit.

A football team loses 12 yards on a play. They then lose another 6 yards on the next play. What is the net gain or loss on the two plays. Write an expression for the situation described and then solve: (– 6) = ______ -18 Same Signs Add the digits and keep the sign.

From the surface of the ocean, a submarine dives 800 feet. If the submarine then rises 250 feet, at what position is the submarine now? Write an expression for the situation described and then solve: = ______ -550 Different Signs Subtract the digits and give sign of the bigger digit.

Section 1: Introduction and read-world connection. Section 2:Apply the rules for adding integers. Section 3:Board Activity.

‒ = ______‒15 + (‒ 12) = ______

42 + (‒ 32) = ______ ‒ 32 + ( ‒ 42) = ______

‒21 + (‒ 5 ) = ______ = ______

= ______ = ______

7 + (‒ 24) = ______8 + (‒ 8) + (‒ 3) = ______

JUSTIFY APPLY RULE -4 + (-8) = Same Signs Add the digits and Keep the sign. Different Signs Subtract the digits and give sign of the bigger digit.

JUSTIFY APPLY RULE 6 + (-8) = Same Signs Add the digits and Keep the sign. Different Signs Subtract the digits and give sign of the bigger digit.

JUSTIFY APPLY RULE = Same Signs Add the digits and Keep the sign. Different Signs Subtract the digits and give sign of the bigger digit.

Without actually working out the problem, identify if the solution will be a positive number or negative number. Use your knowledge of the integer rules you learned today to help. Be prepared to justify your answer (-21) (-12)