Integers quiz

(-7) + 4 equals:

(-6) x (-8) equals:

The additive identity for integers is:

(-45) divided by 9 equals:

Integers are NOT closed under:

The product (-1) x (-1) x (-1) equals:

10 - (-4) equals:

Which is the multiplicative identity?

The additive inverse of -19 is:

a divided by 0, where a is an integer, is:

Find (-15) + 20 + (-5) - (-10). (2 marks)

Find (-9) x 5 x (-2). (2 marks)

Find a pair of integers whose sum is -7 and difference is -1. (2 marks)

Verify that (-5) + (-8) = (-8) + (-5). Which property is this? (2 marks)

Find 53 x (-9) - (-109) x 53 using the distributive property. Show the working. (2 marks)

Fill in the blank: (-48) divided by ___ = -4. (2 marks)

Write two integers whose product is -24 and whose sum is 2. (2 marks)

Is (-12) - (-5) equal to (-5) - (-12)? Justify. (2 marks)

Find 15 x (-25) x (-4) x (-10) by suitable grouping. (2 marks)

Write a negative integer and a positive integer whose difference is -3. (2 marks)

In a quiz, team A scored -40, 10, 0 and team B scored 10, 0, -40 in three rounds. Find each team's total. Can we say we can add integers in any order? (3 marks)

The temperature of a room is 40 degrees C. It is lowered at the rate of 5 degrees C per hour. What will the temperature be after 10 hours? After how many hours will it reach -15 degrees C? (3 marks)

A submarine is at 120 m below sea level. It rises 45 m and then dives 70 m. Write its final position as an integer. (3 marks)

Evaluate: (i) (-8) x (-7) - 6 x (-5) (ii) [(-56) divided by 7] x (-3) (iii) (-100) divided by [(-20) divided by 4]. (3 marks)

A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold. In a month it sells 3000 bags of white cement and 5000 bags of grey cement. Find its profit or loss. (3 marks)

Read the passage and answer the questions. In a test, +5 marks are given for a correct answer and -2 for an incorrect answer. Unanswered questions get 0. There are 20 questions. (i) Jay answers 12 correctly and 8 incorrectly. Find his score. (ii) Mira answers 10 correctly, 4 incorrectly and leaves 6. Find her score. (iii) Can a student get a negative total? Give an example. (5 marks)

Read the passage and answer the questions. The temperatures at 5 am in four cities were: Leh -8 degrees C, Shimla 2 degrees C, Delhi 12 degrees C and Gulmarg -6 degrees C. (i) Which city was coldest? (ii) Find the difference between Delhi and Leh. (iii) Find the mean temperature of the four cities. (5 marks)

Read the passage and answer the questions. A lift in a building with basements starts at the ground floor (0). It goes up 6 floors, then down 9 floors, then up 2 floors. Floors below ground are negative. (i) Write the movements as integers. (ii) On which floor does it stop? (iii) How many floors did it travel in total? (5 marks)

Read the passage and answer the questions. Mohan deposits Rs 2000 in his bank account, withdraws Rs 1642 the next day and then withdraws Rs 500 more. Deposits are positive and withdrawals negative. (i) Write each transaction as an integer. (ii) Find the balance. (iii) What does a negative balance mean? (5 marks)

Read the passage and answer the questions. A diver is 5 m above the water surface on a diving board. He dives 15 m down, then rises 4 m. (i) Write his starting and final positions as integers. (ii) How far below the surface is he finally? (iii) Find the total distance he moved. (5 marks)

State five properties of multiplication of integers (closure, commutativity, multiplication by zero, identity, associativity) and verify each with an example using negative integers. (6 marks)

Using number lines, show (i) (-6) + 9 (ii) (-2) - 3 (iii) 5 + (-8) (iv) 4 x (-2). Write the answer for each. (6 marks)

Explain the properties of division of integers: closure, commutativity, division by 1 and division by zero. Give an example showing each holds or fails. (6 marks)

Simplify: (i) (-18) x 7 + (-18) x 3 (ii) 26 x (-48) + (-48) x (-36) (iii) 625 x (-35) + (-625) x 65 (iv) [(-6) + (-4)] divided by [(-2) - (-7)]. (6 marks)

Draw a thermometer-style number line from -10 to 10. A city's temperature was -6 degrees C at 6 am. It rose by 3 degrees every 2 hours until noon and then fell by 2 degrees every hour until 4 pm. Show the changes on the diagram and find the temperature at noon and at 4 pm. (6 marks)