QUESTION IMAGE
Question
- which symbol, < , >, or =, makes the statement true? -8 □ 7 2. order the integers from least to greatest: 0, -14, 10. -14,0,10 3. find the absolute value |-6|. 6 4. at 6 a.m. the temperature was -3 °c. in the afternoon, the temperature was 7 °c. what was the change of temperature during the day? + 4 5. evaluate a + b for a = 12 and b = -15. 12 + (-9) =
Response
1.
Step1: Recall integer comparison
Negative numbers are less than positive numbers. -8 is negative, 7 is positive.
Step2: Determine the symbol
Since -8 < 7 (negative < positive), the symbol is <.
Step1: Recall integer order rules
Negative integers are less than 0, and 0 is less than positive integers. -14 is negative, 0 is zero, 10 is positive.
Step2: Order from least to greatest
So the order is -14, 0, 10.
Step1: Recall absolute value definition
The absolute value of a number is its distance from 0 on the number line, so | -6 | is the distance of -6 from 0.
Step2: Calculate the absolute value
Distance of -6 from 0 is 6, so | -6 | = 6.
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