Random
Complete the following statement using < , > or =.
-5 ______ 0
-5 ___<___ 0
Model -5 + 12 = __ using counters.
Teacher checks answer.
Finish the sentence for adding integer rules:
If the signs are the same...
Add like normal and keep the sign.
What rule do I use for subtracting integers?
Keep Change Change
Then ADDITION rules.
A hiker starts at an elevation of -150 meters. If they climb 70 meters, what is their new elevation?
-80
What are opposite numbers? Give an example.
Opposite numbers are pairs of numbers that are the same distance from zero but have different signs. One number is positive and the other is negative.
Example:
These pairs are positioned on opposite sides of zero on the number line. For instance, 5 is to the right of zero, while -5 is to the left.
Model -8 + -3 using a number line.
Teacher checks answer.
-5 + (-10) =
-15
-2 - 3 =
-5
You owe your friend $20. If you earn $10 and then spend $15, how much do you owe your friend now?
You owe $25.
Put the following numbers from least to greatest.
-18, 36, 0, -2, -102, 56
-102, -18, -2, 0, 36, 56
The temperature drops from -3 degrees to -15 degrees. What is the change in temperature?
12 degrees.
-20 + (-8) =
-28
26
The temperature is -5 degrees in the morning and rises by 12 degrees during the day. What is the temperature now?
7 degrees
What is absolute value? Explain using number line. Provide an example in your explanation.
Absolute value is the distance from zero on a number line. It is always positive since distance is always positive. An example is +5 and -5 both have a a distance of 5 from zero on the number line.
You start at -12 on the number line. You move to -22. How many spaces did you move and in which direction did you move?
Moved 10 spaces to the left.
-98 + 27 =
-71
-27 - (-67) =
40
A submarine is at -200 meters below sea level. If it rises 75 meters and then descends another 120 meters, what is its final position?
-245
Explain what magnitude is in terms of integers and the number line.
Magnitude in relation to integers refers to the size or absolute value of a number, regardless of its sign. Here’s how it relates to the number line:
Position on the Number Line: The magnitude of an integer tells you how far it is from zero on the number line. For example, both -5 and 5 have a magnitude of 5, but they are positioned on opposite sides of zero.
Comparison: When comparing integers, the one with the larger magnitude (absolute value) is farther from zero. For example, -8 has a greater magnitude than -3 because -8 is farther from zero.
Ordering: When ordering integers, you can use magnitude to determine their relative positions. The integers with the largest magnitudes (in absolute value) will be the farthest from zero, whether they are negative or positive.
In summary, magnitude helps you understand how far numbers are from zero, which is key to comparing and ordering integers on a number line.
Green counters represent positive numbers. Red counters represent negative numbers.
If I have 10 red counters and add 4 green counters and my cat steals 1 red and 1 green counter, how many counters are left? How do I represent these counters as a single integer?
-836 + (-292) + 219 =
-909
-836 - (-28) - 219 =
-1027
A debt collector reports that you owe $300. If you pay off $100 and then incur an additional debt of $50, how much do you owe now?
$250