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Which three go together? Why do they go together?
Complete the table, and draw a number line diagram for each situation.
| start ( |
change ( |
final ( |
addition equation | |
|---|---|---|---|---|
| a | +40 | 10 degrees warmer | +50 | |
| b | +40 | 5 degrees colder | ||
| c | +40 | 30 degrees colder | ||
| d | +40 | 40 degrees colder | ||
| e | +40 | 50 degrees colder |
Complete the table, and draw a number line diagram for each situation.
| start ( |
change ( |
final ( |
addition equation | |
|---|---|---|---|---|
| a | -20 | 30 degrees warmer | ||
| b | -20 | 35 degrees warmer | ||
| c | -20 | 15 degrees warmer | ||
| d | -20 | 15 degrees colder |
One winter day, the temperature in Houston is
In Orlando, it is
In Salt Lake City, it is
In Minneapolis, it is
In Fairbanks, it is
If it is
If the temperature decreases by
In general, we can represent a change in temperature with a positive number if it increases and with a negative number if it decreases. Then we can find the final temperature by adding the initial temperature and the change. If it is
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.
To represent addition, we put the arrows “tip to tail.” So this diagram represents
And this diagram represents