Combining Opposite Quantities to make 0

The additive inverse of +6 is -6 because when you add them together (+6) + (-6), you get 0.

The opposite of -9 is +9, because they are the same distance from 0 but on opposite sides of the number line.

When you combine +4 with its opposite, -4, they add up to 0.

Subtracting -3 from zero gives you +3 because two negatives make a positive.

Adding +5 and its opposite, -5, results in 0 because they are additive inverses.

Subtracting the opposite of -8, which is +8, from zero leaves you with -8.

Adding +10 and its additive inverse, -10, results in 0 because they cancel each other out.

It's important because it helps us understand and manage situations that involve balancing, like financial transactions, or interpreting changes in position or temperature.

Adding +6 and its opposite, -6, would result in 0, thus neutralizing the effect on the budget and maintaining balance.

The net force would be 0 because the forces are opposites and cancel each other out, resulting in no movement.

The temperature would return to the original value, as the increase and decrease are opposite quantities that negate each other.

Combining opposite quantities means adding two numbers with the same value but opposite signs, resulting in zero.

No, opposite quantities can be any rational numbers, such as fractions or decimals, as long as they have the same magnitude but opposite signs.

To find the opposite of a number, you change its sign. If it's positive, make it negative, and vice versa.

Yes, zero is considered the opposite of itself because adding zero to zero still results in zero.

Absolutely! This concept is used in various real-world scenarios, such as financial accounting, temperature changes, and understanding motions in physics.

In finances, if you deposit $100 in your bank account (+$100) and then withdraw $100 (-$100), your account balance remains the same, demonstrating combining opposite quantities.

On a number line, opposite quantities are the same distance from zero but in opposite directions, illustrating their relationship as additive inverses.

Yes, combining opposite quantities is a fundamental technique in solving algebraic equations, especially when isolating variables.

When you multiply opposite quantities, you get a negative product because the rules of multiplication dictate that a positive times a negative equals a negative.

Zero is the result because opposite quantities are defined as numbers that, when added together, cancel out each other's effect, leaving no change.