The numerical expression \({3 \over 8} + {(-5)\over 7}={-19\over 56}\) shows that

Which of the following is not true?

What should be added to \(\frac { -3 }{ 4 } \) to get -1?

What should be subtracted from \(\frac { -3 }{ 4 } \) to get - 1?

Which of the following is the identity element?

Which of the following is the multiplicative identity for rational numbers?

Which of the following is neither positive nor a negative rational number?

In 3ⁿ, n is known as

5^-2 can be written as

The value of \(\frac{1}{9^{-2}}\) is

All the natural numbers are whole numbers.

All the whole numbers are integers

All the integers are rational numbers.

All the fractions are not rational numbers but all the rational numbers are fractions

Zero is a rational number

Every rhombus is a square

Every square is a rhombus

Every rhombus is a rectangle.

Every rectangle is a rhombus

Every rhombus is a parallelogram

Write the rational number for each point labelled with a letter

Multiply the reciprocal of \(\frac { 7 }{ 8 } \) by the reciprocal of  \(\frac { -2 }{ 21 } \) 

The product of two rational numbers is \(\frac { -28 }{ 75 } \) if one of the numbers is \(\frac { 14 }{ 25 } \) find the other

4 + 7 =_________ Is it a whole number?

\(- \frac{3}{8}+\frac{(-4)}{5}=\frac{-15+(-32)}{40}=\) _______ Is it a rational number?

Is \([(10)\div 2] \div (-5) = (-10) \div [2 \div (-5)] ?\)

How many integers are there between - 1and 1?

What is the reciprocal of 0.1?

What is the standard form of 3600000000000?

Can \(\frac { { a }^{ m } }{ b^{ m } } \) be equal to \({ \left( \frac { a }{ b } \right) }^{ m }\)?

Write each of the following in standard form: 150,000,000,000

Fill in the blanks in the following table:

Find \(\frac{-1}{2}+[\frac{3}{7}+(\frac{-4}{3})]\) and \([\frac{-1}{2}+\frac{3}{7}]+(\frac{-4}{3})\). Are the two sums equal ?

Simplify: \({ \left[ { \left( \frac { -4 }{ 5 } \right) }^{ -2 } \right] }^{ 2 }\)

Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube

By prime factorisation, find the cube roots of 1331

Complete the following crossword puzzle using the given directions for Across [from left to right] and Down [from top to bottom].

Direction:
Across:
(1) The product of a number by itself three times, is called a _________
Down:
(2) Prime factors of a perfect cube can be grouped into complete__________
(3) The reverse process of finding the cube of a number is finding the ___________of that number.
(4) Numbers that are not exactly divisible by 2, are called__________
(5) The factors of a number, that are prime numbers, are called___________ of the number.

Leela invited some friends for tea on her birthday. Her mother placed some plates and some puris on a table to be served. If Leela places 4 puris in each plate 1 plate would be left empty. But if she places 3 puris in each plate 1puri would be left. Find the number of plates and number of puris on the table.

Take a clock and fix its minute hand at 12.
Record the angle turned through by the minute hand from its original position and the time that has passed, in the following table:

What do you observe about T and A? Do they increase together? Is \(T\over A\) same every time?

Is the angle turned through by the minute hand directly proportional to the time that has passed? Yes; From the above table, you can also see
T₁ : T₂ = A₁ A₂, because
T₁ : T₂ = 15 30= 1 :2
A₁ : A₂ = 90 180 = 1 :2
Check if T₂: T₃ = A₂ A₃ and T₃ : T₄ = A₃ : A₄
You can repeat this activity by choosing your own time interval.

Find five rational numbers between \(-{1\over2}and{2\over3}\)

Represent \({8\over3}and-{8\over3}\) on the number line

Find three rational numbers between \(\frac { 1 }{ 2 } \) and (-2)

Complete the following crossword puzzle using given directions.
Across:
(1) The negative of a rational number is called its ______.
(2) A number of the form where p and q are integers and q \(\neq \) 0, is called a ________.

(3) The________ of a rational number and its product is 1.
(4) The multiplicative inverse of a number is also called its _____.
(5) Zero is also called the________ identity for rational numbers.
(6) If the product of two rational numbers is 1, then they are called multiplicative_______ of each other.
(7) The rational number is________ the additive identity for rational numbers.

Find the area of the following trapezium.