Arrange the following temperatures in order from coldest to warmest: 5°C, -1°C, -6°C, -2°C, 3°C, 7°C, 0°C.
Understand the Problem
The question provides a list of temperatures in Celsius for a week and asks to arrange them from coldest to warmest. This involves understanding negative numbers and ordering them correctly with positive numbers.
Answer
$-7^\circ C, -4^\circ C, -1^\circ C, 0^\circ C, 1^\circ C, 2^\circ C, 3^\circ C$
Answer for screen readers
$-7^\circ C, -4^\circ C, -1^\circ C, 0^\circ C, 1^\circ C, 2^\circ C, 3^\circ C$
Steps to Solve
- Identify negative and positive temperatures
Separate the list into negative and positive temperatures. This helps in ordering since all negative numbers are less than all positive numbers.
- Order negative temperatures
The more negative a number, the colder it is. So, arrange the negative temperatures from the most negative to the least negative.
- Order positive temperatures
Arrange the positive temperatures from the least positive to the most positive.
- Combine the ordered lists
Combine the ordered negative temperatures followed by the ordered positive temperatures to get the complete list from coldest to warmest.
- Given Temperatures
$2^\circ C$, $-4^\circ C$, $1^\circ C$, $-7^\circ C$, $0^\circ C$, $-1^\circ C$, and $3^\circ C$
- Ordered List
The ordered list from coldest to warmest is: $-7^\circ C$, $-4^\circ C$, $-1^\circ C$, $0^\circ C$, $1^\circ C$, $2^\circ C$, $3^\circ C$.
$-7^\circ C, -4^\circ C, -1^\circ C, 0^\circ C, 1^\circ C, 2^\circ C, 3^\circ C$
More Information
Understanding how to order numbers, especially negative numbers, is crucial in many real-world applications, such as tracking temperatures, dealing with financial debts, or measuring altitude relative to sea level.
Tips
A common mistake is to think that a larger negative number (e.g., -7) is greater than a smaller negative number (e.g., -1). Remember that on the number line, numbers decrease as you move to the left.
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