Integers and Absolute Value
Comparing, ordering, and finding distance from zero
Integers and Absolute Value
Comparing, ordering, and finding distance from zero
Math - Grade 6-8
- 1
Write whether each number is positive, negative, or zero: -7, 12, 0, -1, 9.
Numbers less than zero are negative, numbers greater than zero are positive, and 0 is neither positive nor negative.
-7 is negative, 12 is positive, 0 is zero, -1 is negative, and 9 is positive. - 2
Put these integers in order from least to greatest: 4, -3, 0, -8, 6.
From least to greatest, the integers are -8, -3, 0, 4, 6. - 3
Compare the integers using <, >, or =: -5 ___ 2
On a number line, numbers farther left are smaller.
-5 < 2 because any negative number is less than any positive number. - 4
Compare the integers using <, >, or =: -4 ___ -9
-4 > -9 because -4 is closer to zero and is to the right of -9 on the number line. - 5
Find the absolute value of each number: |7|, |-7|, |0|.
Absolute value tells how far a number is from zero, not which direction.
The absolute values are |7| = 7, |-7| = 7, and |0| = 0 because absolute value is the distance from zero. - 6
Find the absolute value: |-13|.
The absolute value of -13 is 13 because -13 is 13 units from zero. - 7
A diver is 18 feet below sea level. Represent the diver's position with an integer.
Below a reference point is usually negative.
The diver's position is represented by -18 because below sea level is shown with a negative integer. - 8
The temperature is 6 degrees below zero. Write the integer and then give its absolute value.
The integer is -6, and its absolute value is 6. - 9
Which number has the greater absolute value: -9 or 5? Explain.
Find the distance from zero for both numbers.
-9 has the greater absolute value because |-9| = 9 and |5| = 5, and 9 is greater than 5. - 10
Plotting points A = -4 and B = 3 on a number line, how far apart are the points?
The points are 7 units apart because the distance from -4 to 3 is 7. - 11
Write the opposite of each integer: 8, -11, 0.
Opposites are the same distance from zero on opposite sides.
The opposite of 8 is -8, the opposite of -11 is 11, and the opposite of 0 is 0. - 12
A submarine rises from -25 meters to -8 meters. Did its value increase or decrease? By how many meters?
The value increased by 17 meters because moving from -25 to -8 is 17 units upward on the number line. - 13
Choose all integers from this list: -2, 3.5, 0, -7, 1/2, 12.
Integers do not include fractions or decimals.
The integers are -2, 0, -7, and 12 because integers are whole numbers and their opposites, including zero. - 14
Order these integers from greatest to least: -1, 5, -6, 2, 0.
From greatest to least, the integers are 5, 2, 0, -1, -6. - 15
A hiker is at an elevation of -3 meters, then climbs to 4 meters. What is the total change in elevation?
Count the distance on the number line from -3 to 4.
The total change in elevation is 7 meters because the hiker moved from -3 to 4, which is an increase of 7.