Integers and Absolute Value Worksheet

Question 1

Write whether each number is positive, negative, or zero: -7, 12, 0, -1, 9.

Accepted Answer

-7 is negative, 12 is positive, 0 is zero, -1 is negative, and 9 is positive.

Question 2

Put these integers in order from least to greatest: 4, -3, 0, -8, 6.

Accepted Answer

From least to greatest, the integers are -8, -3, 0, 4, 6.

Question 3

Compare the integers using <, >, or =: -5 ___ 2

Accepted Answer

-5 < 2 because any negative number is less than any positive number.

Question 4

Compare the integers using <, >, or =: -4 ___ -9

Accepted Answer

-4 > -9 because -4 is closer to zero and is to the right of -9 on the number line.

Question 5

Find the absolute value of each number: |7|, |-7|, |0|.

Accepted Answer

The absolute values are |7| = 7, |-7| = 7, and |0| = 0 because absolute value is the distance from zero.

Question 6

Find the absolute value: |-13|.

Accepted Answer

The absolute value of -13 is 13 because -13 is 13 units from zero.

Question 7

A diver is 18 feet below sea level. Represent the diver's position with an integer.

Accepted Answer

The diver's position is represented by -18 because below sea level is shown with a negative integer.

Question 8

The temperature is 6 degrees below zero. Write the integer and then give its absolute value.

Accepted Answer

The integer is -6, and its absolute value is 6.

Question 9

Which number has the greater absolute value: -9 or 5? Explain.

Accepted Answer

-9 has the greater absolute value because |-9| = 9 and |5| = 5, and 9 is greater than 5.

Question 10

Plotting points A = -4 and B = 3 on a number line, how far apart are the points?

Accepted Answer

The points are 7 units apart because the distance from -4 to 3 is 7.

Question 11

Write the opposite of each integer: 8, -11, 0.

Accepted Answer

The opposite of 8 is -8, the opposite of -11 is 11, and the opposite of 0 is 0.

Question 12

A submarine rises from -25 meters to -8 meters. Did its value increase or decrease? By how many meters?

Accepted Answer

The value increased by 17 meters because moving from -25 to -8 is 17 units upward on the number line.

Question 13

Choose all integers from this list: -2, 3.5, 0, -7, 1/2, 12.

Accepted Answer

The integers are -2, 0, -7, and 12 because integers are whole numbers and their opposites, including zero.

Question 14

Order these integers from greatest to least: -1, 5, -6, 2, 0.

Accepted Answer

From greatest to least, the integers are 5, 2, 0, -1, -6.

Question 15

A hiker is at an elevation of -3 meters, then climbs to 4 meters. What is the total change in elevation?

Accepted Answer

The total change in elevation is 7 meters because the hiker moved from -3 to 4, which is an increase of 7.

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