Opposites Make Zero Quick Check

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Question
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

how do u know

In this scenario, the family starts at home and rides their bikes four miles due east. This takes them four miles away from home. Then, they ride their bikes four miles due west, which takes them back in the opposite direction towards home. Since they have traveled the same distance in opposite directions, they would end up back at home. Therefore, the family is zero miles away from home.

Which situation describes opposite quantities that when combined would equal 0?(1 point)

Responses

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?

The correct response is:

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

To find the situation that describes opposite quantities that when combined would equal 0, we need to think about what it means for quantities to be opposite. Opposite quantities are numbers that have the same absolute value but different signs.

In this case, the quantities being referred to are the distances traveled in different directions. So, if a family rides their bikes four miles due east from home and then rides their bikes four miles due west, the distances are opposite because they have the same value of four but different directions (positive east and negative west). When we combine these opposite quantities, they cancel each other out, resulting in a total distance of 0.

Therefore, the correct response is:

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home? The family is 0 miles away from home.