Rational Numbers quiz

The additive inverse of -7/9 is:

The reciprocal of -3/8 is:

The multiplicative identity for rational numbers is:

Which of the following has no reciprocal?

The property used in (2/3) x (5/7) = (5/7) x (2/3) is:

Rational numbers are not closed under:

The number of rational numbers between any two distinct rational numbers is:

-5/6 + 5/6 is equal to:

Which of the following is a rational number between 1/4 and 1/2?

The value of (2/5) x (-5/2) is:

Write the additive inverse of (i) 2/8 (ii) -5/9 (iii) -6/-5 (iv) 2/-9. (2 marks)

Find the reciprocal of (i) -13/19 (ii) 1/(-7). (2 marks)

Name the property used: (i) (-4/5) x 1 = -4/5 (ii) (-13/17) x (-2/7) = (-2/7) x (-13/17). (2 marks)

Multiply 6/13 by the reciprocal of -7/16. (2 marks)

Which property allows you to write (1/3) x (6 x 4/3) = ((1/3) x 6) x (4/3)? (2 marks)

Is 8/9 the multiplicative inverse of -1 1/8? Give a reason. (2 marks)

Is 0.3 the multiplicative inverse of 3 1/3? Give a reason. (2 marks)

Write any two rational numbers between -1/2 and 1/3. (2 marks)

Which rational numbers are their own reciprocals? What is the reciprocal of -5? (2 marks)

Why is 0 called the additive identity of rational numbers? Give an example. (2 marks)

Using suitable rearrangement, find 3/7 + (-6/11) + (-8/21) + 5/22. (3 marks)

Find (-4/5) x (3/7) x (15/16) x (-14/9), simplifying by grouping suitable factors. (3 marks)

Find five rational numbers between -2 and -1, and five rational numbers between -3/4 and -1/2. (3 marks)

The sum of two rational numbers is -3/5. If one of them is 9/20, find the other. Also find what must be added to -5/8 to get 3/4. (3 marks)

The product of two rational numbers is -28/81. If one of them is 14/27, find the other. (3 marks)

Read the passage and answer the questions. A school water tank was 3/4 full in the morning. During the day, water equal to 2/5 of the full capacity was used, and in the evening water equal to 1/6 of the capacity was pumped in. (i) What fraction of the tank was full after the day's use? (ii) What fraction was full after the water was pumped in? (iii) If the capacity of the tank is 1200 litres, how much water is in it now? (5 marks)

Read the passage and answer the questions. The minimum temperatures in a hill town on three winter days were -2.5 degrees C, -1.75 degrees C and 0.5 degrees C. (i) Find the sum of the three temperatures. (ii) Find the average minimum temperature. (iii) Find the difference between the highest and the lowest of these temperatures. (5 marks)

Read the passage and answer the questions. A tailor has a ribbon 5 3/4 m long. She cuts as many pieces of 3/8 m each as possible for decorating dresses. (i) How many full pieces can she cut? (ii) What length of ribbon is left over? (iii) Explain how the reciprocal of 3/8 is used in the calculation. (5 marks)

Read the passage and answer the questions. A frog sits at 0 on a number line. It jumps 3/4 unit to the right, then 5/4 units to the left, and then 1/2 unit to the right. (i) Where is the frog after the first two jumps? (ii) Where is the frog after all three jumps? (iii) Which property of rational numbers explains the final position? (5 marks)

Read the passage and answer the questions. Neha received Rs 600 as pocket money. She spent 1/3 of it on books, 1/4 on food and 1/6 on bus fares. (i) What fraction of her money did she spend in all? (ii) How much money is left? (iii) Show that 1/3 + 1/4 + 1/6 = 1/6 + (1/4 + 1/3), and name the properties that make this true. (5 marks)

For rational numbers, state whether each of the operations addition, subtraction, multiplication and division is closed, commutative and associative. Give one numerical example or counterexample for each property you state. (6 marks)

Explain, with neat number lines, how to represent 7/4, -5/6 and 2 1/3 on a number line. Which of these lies farthest from 0? (6 marks)

Describe two methods of finding rational numbers between two given rational numbers. Use the mean method to find three rational numbers between 1/4 and 1/2, and the equivalent fractions method to find ten rational numbers between -2/5 and 1/2. Show the first three on a number line. (6 marks)

State the distributive property and verify it for -3/4, 2/5 and -5/6. Use it to simplify (2/5) x (-3/7) - (1/6) x (3/2) + (1/14) x (2/5). (6 marks)

Solve: (i) A rope 22 1/2 m long is cut into pieces of 2 1/4 m each. How many pieces are obtained? (ii) The product of two numbers is 15/7. If one is -5/14, find the other. (iii) What should be subtracted from 3/4 to get -1/8? Show the answer to (iii) on a number line. (6 marks)