Real-World Math
A submarine is 15 feet below sea level. This integer represents its position.
What is −15?
This is the opposite of −17.
What is 17?
The number −9 belongs to this category: integer, terminating decimal, or repeating decimal.
What is an integer?
This integer must be added to −24 to produce a sum of zero.
What is 24?
Rewrite 12 − 5 as addition, then solve.
What is 12 + (−5) = 7?
A diver is 17 feet below sea level. This is the absolute value of the diver's position.
What is 17 feet?
This is the absolute value of 23.
What is 23?
The decimal 0.272727… belongs to this category because its digits continue in a pattern with value forever.
What is a repeating decimal?
This is the sum of −6 and −11.
What is −17?
Rewrite −3 − 9 as addition, then solve.
What is −3 + (−9) = −12?
The temperature starts at −4°F and increases by 9°F. This is the new temperature.
What is 5°F?
A submarine is 24 feet below sea level. These are the integer representing its position and its opposite.
What are −24 and +24?
The fraction 7/8 has this decimal equivalent and classification.
What is 0.875, a terminating decimal?
This is the sum of −14 and 9.
What is −5?
Rewrite 13 − 21 as addition, then solve.
What is 13 + (−21) = −8?
A football team loses 7 yards and then gains 12 yards. This is its net change in yards.
What is +5 yards?
The numbers −6 and 6 have this relationship because they are the same distance from zero on opposite sides of a number line.
What are opposites or additive inverses?
−9, 0.875, and 0.272727… all belong to this number set because each can be expressed as a fraction of integers with a nonzero denominator.
What are rational numbers?
This is the sum of −8, 15, and −4.
What is 3?
Rewrite 8 − (−5) as addition, then solve.
What is 8 + 5 = 13?
A bank account starts at −$18, receives a $25 deposit, and has a $9 withdrawal. This is the final balance.
What is −$2?
A student claims |−22| = −22. This is the correct absolute value and the reason the student is wrong.
What is 22, because absolute value is distance from zero?
When 7/12 is converted to a decimal using long division, this is its decimal equivalent and its classification.
What is 0.583..., a repeating decimal?
(Repeating bar over 3 only)
A temperature starts at −11°F, increases by 18°F, and then decreases by 5°F. This is the final temperature.
What is 2°F?
A student says −8 − (−12) = −20. Rewrite it as addition, find the correct answer, and explain the mistake.
What is −8 + 12 = 4? The student subtracted 12 instead of adding 12.
A submarine starts 18 feet below sea level. It rises 13 feet, then descends an unknown distance.
Its final position has an absolute value of 23.
This is the distance the submarine descended during its last movement.
What is 18 feet?