Understanding Additive Inverses

Mason and Scarlett are having a friendly math duel! Can you join the fun and help them discover what magical result appears when you add a number to its opposite?

• The number itself

• 0

• Double the number

• Half the number

Answer explanation

When you add a number to its opposite (e.g., x + (-x)), the result is always 0. This is because the two numbers cancel each other out, confirming that the correct answer is 0.

• 10

• -5

• 0

• 5

Answer explanation

The additive inverse of a number is what you add to it to get zero. For x = 5, the additive inverse is -5, since 5 + (-5) = 0. Therefore, the magical number is -5.

Priya and Jackson are on a quest to find magical number pairs! Can you join them in discovering which of the following pairs are true additive inverses?

• 4 and 4

• 6 and -6

• -2 and 2

• 8 and 0

Answer explanation

Additive inverses are pairs of numbers that sum to zero. The pair 6 and -6 is correct because 6 + (-6) = 0. The other pairs do not satisfy this condition.

• -14

• 0

• 7

• 14

Answer explanation

The additive inverse of -7 is 7. When you add -7 and 7 together, the result is 0. Therefore, the correct answer is 0.

Hey math wizards! Scarlett and William are having a friendly math duel. Can you help them figure out which of the following magical expressions equals 0?

Answer explanation

The expression 5 + (-5) equals 0 because adding a number and its negative results in zero. The other options do not equal zero: 3 + 3 = 6, -2 + 2 + 1 = 1, and 4 - 4 + 4 = 4.

Liam and Ava are on a whimsical adventure with a magical balloon that floats 50 meters above the ground. Suddenly, the mischievous balloon decides to descend 50 meters. Can you guess where it lands?

• 50 meters above the ground

• 0 meters (at ground level)

• 50 meters below the ground

• 100 meters above the ground

Answer explanation

The balloon starts at 50 meters above the ground and descends 50 meters. This means it moves down to ground level, which is 0 meters. Therefore, the correct answer is 0 meters (at ground level).

• -10

• 10

• 0

• 20

Answer explanation

The magical additive inverse of y = -10 is 10. When you add -10 and 10 together, the result is 0. Therefore, the sum of y and its additive inverse is 0.

• 8

• -8

• 0

• 16

• -6

• 0

• 3

• 6

Henry and Priya are on an adventurous math quest! They spot a balloon floating 30 meters above the ground. If the balloon descends 30 meters, where will it land?

• 30 meters above the ground

• 0 meters (at ground level)

• 30 meters below the ground

• 60 meters above the ground