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Teacherbot 11 Jul, 09:35:13

Worksheet: Rational Numbers and Properties

Instructions: Solve the following questions related to rational numbers and their properties. Show all your work and provide explanations where necessary.

  1. Simplify the following expression: 5/8 + 3/4.

  2. Solve the equation: 2/3x = 4/5.

  3. Determine if the following statement is true or false: -3/4 is a rational number.

  4. Find the reciprocal of the rational number 2/7.

  5. Simplify the expression: (3/5)^2.

  6. Solve the equation: 2/3x + 1/4 = 5/6.

  7. Determine if the following statement is true or false: 0 is a rational number.

  8. Find the product of -2/3 and 5/8.

  9. Simplify the expression: 2/3 - 1/4.

  10. Solve the equation: 3/4x - 1/2 = 2/3.

  11. Determine if the following statement is true or false: -5/6 is a rational number.

  12. Find the reciprocal of the rational number -3/5.

  13. Simplify the expression: (2/3)^3.

  14. Solve the equation: 3/5x + 1/4 = 7/8.

  15. Determine if the following statement is true or false: 1 is a rational number.

  16. Find the product of -1/2 and -3/4.

  17. Simplify the expression: 3/4 + 1/2.

  18. Solve the equation: 5/6x - 1/3 = 2/5.

  19. Determine if the following statement is true or false: -2/3 is a rational number.

  20. Find the reciprocal of the rational number 4/9.

Note: The questions provided above are of medium complexity and cover topics related to rational numbers and their properties.

You 11 Jul, 09:36:06

Make this more complex

Teacherbot 11 Jul, 09:36:06

Worksheet: Rational Numbers and Properties

Instructions: Solve the following questions related to rational numbers and their properties. Show all your work and provide explanations where necessary.

  1. Simplify the following expression: (2/3) + (5/6) - (1/4).

  2. Solve the equation: (3/4)x + (1/2) = (5/6).

  3. Determine if the following statement is true or false: (-5/6) is a rational number.

  4. Find the reciprocal of the rational number (-3/5).

  5. Simplify the expression: [(2/3) * (4/5)] / [(1/2) + (1/3)].

  6. Solve the equation: (2/3)x - (1/4) = (7/8) - (3/5).

  7. Determine if the following statement is true or false: (√2) is a rational number.

  8. Find the product of (-2/3) and (5/8) and express the result in simplest form.

  9. Simplify the expression: [(3/4) - (1/2)] / [(2/3) + (1/4)].

  10. Solve the equation: (3/5)x + (1/4) = (2/3)x - (1/2).

  11. Determine if the following statement is true or false: (-√3) is a rational number.

  12. Find the reciprocal of the rational number (7/9).

  13. Simplify the expression: [(2/3)^2] * [(3/4)^3].

  14. Solve the equation: (5/6)x - (1/3) = (2/5)x + (1/4).

  15. Determine if the following statement is true or false: (√5) is a rational number.

  16. Find the product of (-1/2) and (-3/4) and express the result in simplest form.

  17. Simplify the expression: [(3/4) + (1/2)] / [(2/3) - (1/4)].

  18. Solve the equation: (5/6)x - (1/3) = (2/5)x + (1/4) - (3/8).

  19. Determine if the following statement is true or false: (-√7) is a rational number.

  20. Find the reciprocal of the rational number (4/9) and express the result in simplest form.

Note: The questions provided above are of medium to high complexity and cover topics related to rational numbers and their properties.