Examine why they work ?
Choose a number. Double it. Add nine. Add your original number. Divide by three. Add four. Subtract your original number. Your result is seven.

One of the two digits of a two-digit number is three times the other digit.If you interchange the digits of this two-digit number and add the resulting number to the original number,you get 88.What is the original number?

(b) Explain rational number in your own words.

State whether the following statements are true or false. Justify your answers. (iii) Every real number need not be a rational number

Toss a coin for number of times as shown in the table. And record your findings in the table. What happens if you keep on increasing the number of tosses.

State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. (ii) Every point on the number line is of the form where m is a natural number. (iii) Every real number is an irrational number.

Write down any three-digit number (for example, 425). Examine why they work ? Make a six-digit number by repeating these digits in the same order (425425). Your new number is divisible by 7, 11, and 13.

Use number line and add the following integers : (a) 9 + (-6)

State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number.