Rational Number...

Directions: Divide the sum of the given fractions by their difference.

and

Directions: Find the sum of the additive inverse and the multiplicative inverse of the given fraction.

If the product of two rational numbers is and one number is , then what is the second number?

If a = 5, then find the value of .

Which of the following statements is correct?

Directions: Find the multiplicative inverse of the given fraction.

Which of the following properties of rational numbers is shown below?

If x = , then what is the value of |x|?

Which of the following is correct?

The rational number which does not lie between and is

Directions: Simplify the given equation.

+ -

Which of the following numbers should be subtracted from to get ?

Directions: Simplify the given equation.

If x = and y =, then find the value of (2x + y) + (4x + 3y).

If x = , then which of the following numbers lies between x and |x|?

There are 70 pupils in a lab. Out of these, of the boys and of the girls have prepared the presentation. The total number of boys and girls who all have prepared the presentation is 46. How many boys are there in the lab?

Ms. Archie earns Rs. 13,000 per month and spends of that amount on cosmetics and of that amount on clothing. Find out the amount that she saves every month.

One recipe of a pie requires cup of sugar. Another recipe of the same pie requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to of a cup, then how much more sugar does the first recipe require?

Directions: Study the information given below and answer the question that follows.

Ingredients required to make a cake.

Ingredients	Amount
Flour	cups
Sugar	cups
Baking soda	cups

Some parents attended a parent teacher meeting. If of the parents in the meeting are fathers and there are 50 more mothers than fathers, then how many mothers are there in the meeting?

Which of the following options is incorrect?

Match the following.

Column A	Column B
A) Addition of two rational numbers gives	1. -(3/5)
B) The additive inverse of (3/5) is	2. 1/2
C) The sum of a rational number and its additive inverse is	3. a rational number
D)	4. 0

Directions: Fill in the blanks.

1. The reciprocal of 1/3 is __(a)__.
2. (2/3) ÷ (1/3) = (2/3) × (3/1) = __(b)__.
3. (5/9) × (2/9) = 10/81 is a __(c)__ number.
4. Multiplication of rational numbers is distributive over __(d)__.

Which of the following statements is/are true?

Statement 1: If , and are any three rational numbers, then = .
Statement 2: + 0 = 0 + =

Directions: State T for true and F for false.

1. Two rational numbers can be added in any order.
2. While adding three rational numbers, they cannot be grouped in any order.
3. The reciprocal of 0 is undefined.
4. Every rational number multiplied with 0 gives 1.