Adding Integers and Number Lines

Adding Integers and Number Lines

Multiple Choice

What is the distance from zero?

• 4

• -4

Multiple Choice

What is the absolute value of 4?

• 4

• -4

Multiple Choice

What is the distance from zero?

• 10

• -10

Multiple Choice

What is the absolute value of -10?

• 10

• -10

Multiple Choice

What is the distance from zero?

• -6

• 6

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is the absolute value of -80?

• 80

• -80

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Which number has a larger absolute value?

$$\left|-30\right|\ or\ \ \left|-10\right|$$

• $$\left|-30\right|$$

• $$\left|-10\right|$$

Multiple Choice

Which number has a smaller absolute value?

• $$\left|-20\right|$$

• $$\left|-5\right|$$

Multiple Choice

What is $$\left|-8\right|$$ ?

• 8

• -8

Multiple Choice

What is $$\left|-2\right|+\left|-3\right|$$ ?

• 5

• -5

Drag and Drop

$$\left|-5\right|$$ ​

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$$\left|5\right|$$

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Drag and Drop

$$\left|-10\right|$$ ​

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$$1$$

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$$\left|-5\right|$$ ​

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$$\left|7\right|$$

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What are integers?

Integers are all the positive whole numbers and there opposites (negative numbers).

{...-3, -2, -1, 0, 1, 2, 3, ....} the dots mean goes on forever.

Multiple Choice

It was $$-5\degree C$$ in Copenhagen and $$-12\degree C$$ in Oslo. Which city was colder?

• Copenhagen

• Oslo

Multiple Choice

A fish is 12 meters below the surface of the ocean. What is its elevation?

• 12

• -12

Multiple Choice

A fish is 12 meters below the surface of the ocean. What is its elevation?

• 12 meters

• -12 meters

Multiple Choice

A fish is 12 meters below the surface of the ocean.

A sea bird is 28 meters above the surface of the ocean.

If the bird is directly above the fish, how far apart are they?

• 12 meters

• 28 meters

• 16 meters

• 40 meters

Drag and Drop

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3 ​

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-3

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12 ​

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24

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-12 ​ ​

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-24

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7.2 ​ ​

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7

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-7.2 ​ ​

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-7

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-1.5 ​ ​​

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​ $$-\frac{3}{2}$$

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$$-\frac{4}{5}$$ ​ ​​ ​

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​ $$-\frac{5}{4}$$

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$$-\frac{3}{5}$$ ​ ​​ ​ ​​

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​ ​ $$-\frac{6}{10}$$

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$$-\frac{2}{3}$$ ​ ​​ ​ ​​ ​

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​ ​ $$\frac{1}{3}$$

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​We can represent signed numbers with arrows on a number line. We can represent positive numbers with arrows that start at 0 and point to the right. For example, this arrow represents +10 because it is 10 units long and it points to the right.

​We can represent negative numbers with arrows that start at 0 and point to the left. For example, this arrow represents -4 because it is 4 units long and it points to the left.

Multiple Choice

Which equation matches the diagram?

• 3 + 4 = 7

• -3 + 4 = 1

• 4 + -3 = 1

Multiple Choice

Which equation matches the diagram?

• 3 + 9 = 12

• 3 + (-9) = -6

• (-3) + (-9) = -12

Multiple Choice

Which equation matches the diagram?

• 3 + (-3) = 0

• 3 + 0 = 3

• (-3) + 0 = -3

Multiple Choice

Which equation matches the diagram?

• 4 + 5 = 9

• (-4) + (-5) = -9

• (-4) + 5 = 1

• 4 + (-5) = -1

Multiple Choice

The temperature is -2 $$\degree C$$ . If the temperature rises by 15 , what is the new temperature? $$\degree C$$

• $$-17\degree C$$

• $$-13\degree C$$

• $$13\degree C$$

• $$17\degree C$$

Multiple Choice

At midnight the temperature is $$-6\degree C$$ . At midday the temperature is $$9\degree C$$ . By how much did the temperature rise?

• $$-15\degree C$$

• $$-13\degree C$$

• $$3\degree C$$

• $$15\degree C$$

Multiple Choice

What is the new temperature?

• $$-60\degree F$$

• $$60\degree F$$

• $$100\degree F$$

• $$-100\degree F$$

Multiple Choice

What is the new temperature?

• $$-21\degree F$$

• $$21\degree F$$

• $$4\degree F$$

• $$-4\degree F$$

Multiple Choice

What is the new temperature?

• $$13\degree F$$

• $$-13\degree F$$

• $$3\degree F$$

• $$-3\degree F$$