Explain how to find the sum positive five plus negative nineusing chips, a number line, or the rules for adding integers. Give the answer with your explanation
5 - 9 =
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To find the sum of positive five and negative nine using chips, a number line, or the rules for adding integers, we can start by understanding the concept of adding positive and negative numbers.
Chips method:
1. Represent positive numbers as colored chips and negative numbers as different colored chips.
2. Take five positive chips and place them on one side of a table.
3. Take nine negative chips and place them on the other side of the table.
4. Now, combine the chips by moving two negative chips to the side with positive chips.
5. Count the remaining chips on each side of the table. Since there are four positive chips and seven negative chips, the sum is negative three.
Number line method:
1. Draw a number line and label it from negative ten to positive ten.
2. Start at positive five on the number line.
3. Move nine units to the left, towards the negative side.
4. The final position is negative four, so the sum is negative four.
Rules for adding integers:
1. Start by recognizing the signs. In this case, positive five and negative nine.
2. When adding a positive and a negative number, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
3. Calculate the sum by subtracting nine from five. Since the absolute value of nine is larger than five, we subtract five from nine and keep the negative sign. The result is negative four.
Therefore, the sum of positive five and negative nine is negative four.