The Integer Zone
A submarine travels 450 feet below sea level. Write an integer to represent this depth.
What is -450?
Find the opposite of -18.
What is 18 (or +18)?
Find the value of |-14|.
What is 14?
Write the fraction 1/2 as a decimal.
What is 0.5?
Compare using <, >, or =: 0.45 ____ 1/2.
What is <?
In a football game, a team gained 12 yards on the first play and lost 15 yards on the second play. Write the two integers that represent these plays.
What are +12 (or 12) and -15?
If a bank transaction of +$50 represents depositing money, describe what the opposite integer represents.
What is withdrawing (or spending) $50?
Because absolute value measures distance from zero on a number line, its value can never be this type of number.
What is a negative number?
Convert 3/5 into a decimal.
What is 0.6?
Compare using <, >, or =: -3/4 ____ -0.8.
What is >?
Order these winter temperatures from coldest to warmest: 2 degrees F, -11 degrees F, -4 degrees F, 0 degrees F.
What is -11 degrees F, -4 degrees F, 0 degrees F, 2 degrees F?
Find the value of the expression -(-32).
What is 32? (The opposite of negative 32).
Evaluate the expression: |-9| + |4|
What is 13? (9 + 4 = 13).
Convert 7/8 into a decimal.
What is 0.875?
Give the mathematical definition of a rational number.
What is any number that can be written as a fraction a/b where a and b are integers?
True or False: On a horizontal number line, -7 is located to the left of -10. Explain why.
What is False? (-7 is greater than -10, so it sits to the right of -10).
If \(x = -5\), find the value of \(-x\).
What is 5?
Compare using <, >, or =: |-25| __ |15|
What is >?
Write the fraction 1/3 as a decimal, and state whether it is terminating or repeating.
What is 0.333..., which is a repeating decimal?
Put these three rational numbers in order from least to greatest: -0.6, -1/4, -0.65.
What is -0.65, -0.6, -1/4?
Name the set of numbers that includes all whole numbers and their opposites.
What is integers?
Fill in the blank: The sum of any integer and its opposite will always equal ____.
What is 0?
A diver is at -12 feet and a bird is at +10 feet. Use absolute value to determine who is further from sea level 0.
What is the diver? (|-12| = 12and |10| = 10; 12 is greater than 10).
Convert the mixed number -4 1/20 into a decimal.
What is -4.05?
Identify which number in this list is NOT a rational number: 0.333..., -7, π (pi), 2/3.
What is π (pi)? (It is an irrational decimal that goes on forever without repeating).