Integers, Opposites and Absolute Value: Grade 6 Math Worksheet – PDF Download

Problem 1: Integers in context

Write an integer to represent each situation.

1. A temperature of 8 degrees below zero
2. A deposit of \$25 into a bank account
3. A cave that is 40 feet below sea level
4. A football team gains 6 yards

Problem 2: Find the opposite

Write the opposite of each number.

1. \(7\)
2. \(-12\)
3. \(0\)
4. \(-3.5\)

Problem 3: Graph on a number line

Graph the numbers \(-4\), \(2\), and \(-1\) on the number line.

Problem 4: Compare numbers

Write \(<\), \(>\), or \(=\) to make each statement true.

1. \(-3 \ \_\_ \ 2\)
2. \(-7 \ \_\_ \ -4\)
3. \(0 \ \_\_ \ -5\)
4. \(-2.5 \ \_\_ \ -2.25\)

Problem 5: Absolute value

Find each absolute value.

1. \(|-9|\)
2. \(|6|\)
3. \(|0|\)
4. \(|-4.5|\)

Problem 6: Order integers

Write the integers \(4,\ -7,\ 0,\ -2,\ 5\) in order from least to greatest. Use the number line to help.

Problem 7: Order rational numbers

Write the numbers \(-\frac{1}{2},\ 0.75,\ -1.5,\ \frac{1}{4}\) in order from least to greatest.

Problem 8: Hiking elevations

Mei studies three places on a trail map. Lake A is at \(-45\) feet, Lake B is at \(-120\) feet, and the town is at \(30\) feet. Write the places in order from lowest to highest elevation. Then find which place is farthest from sea level.

Problem 9: Winter temperatures

The morning low temperatures were \(-8\)°F on Monday, \(-3\)°F on Tuesday, \(2\)°F on Wednesday, and \(-11\)°F on Thursday.

1. Find the coldest day.
2. Write the temperatures in order from least to greatest.
3. Explain why \(-11\)°F is colder than \(-8\)°F.

Problem 10: Account balances

Ethan’s account balance is \(-35\) dollars, Aisha’s is \(-20\) dollars, and Noah’s is \(15\) dollars.

1. Write the balances in order from least to greatest.
2. Write the absolute value of Ethan’s balance and of Aisha’s balance, and state who owes more money.
3. Explain why \(-35 < -20\) even though \(|-35| > |-20|\).

See every chapter on the Grade 6 math page.