Rational Number Blog 5

May 19, 2020

Chapter Rational Number

Exercise 9.1

Hello Learners......

Let us all resume from the previous class.

Q8. Fill in the boxes with correct symbol out of >, <, =

(i) -5/7 🗆 2/3

Step 1 -5/7 and 2/3 {make equivalent fraction}

Step 2 -5 X 3 and 2 X 7
7 X 3 3 X 7

Step 3 -15/21 and 14/21 {do comparison}

Step 4 -15/21 < 14/2 {positive number is always greater than negative no}

Finding difficult, let try one more.....

(ii) -4/5   🗆 -5/7

Step 1 -4/5 and -5/7 {make equivalent fraction}

Step 2 -4 X 7 and -5 X 5
5 X 7 7 X 5

Step 3 -28/35 and -25/35 {do comparison}

we know that -28 < -25

Step 4 therefore -28/35 < -25/35

hence -4/5 < -5/7

Let us try one more.......

(iii) -7/8   🗆 14/-16

Step 1 -7/8 and 14/-16 {make equivalent fraction}

Step 2 -7 X 2 and 14 X 1
8 X 2 -16 X 1

Step 3 -14/16 and 14/-16

or -14/16 and -14/16

Step 4 -14/16 = -14/16

therefore -7/8 = 14/-16

Boys can you do the same question in a different way, try it by changing 14/-16 to simplest form.

Lets move ahead....

Hey boys, I found something common in question 8 and 9. So why not you try question 9 yourself. If you still have doubts feel free to write in comment box.

Let us do Q 10.

Q10. Write the following rational numbers in ascending order:

(i) -3/5 , -2/5 , -1/5

Don't you all think this problem is very easy.

Step 1 denominator is same in this problem

Step 2 all rational numbers have negative sign

Step 3 do comparison

Step 4 -3/5 < -2/5 < -1/5

(ii) Try to it your self.

(iii) -3/7 , -3/2 , -3/4

Step 1 {take LCM of 7, 2, 4 = 28}

Step 2 -3 X 4 , -3 X 14 , -3 X 7   {make like fractions}
7 X 4 2 X 14 4 X 7

Step 3 -12/28 , -42/28 , -21/28

Step 4 -42/28 < -21/28 < -12/28

therefore, -3/2 < -3/4 < -3/7

https://www.youtube.com/watch?v=UsUPIo7hyA4

Home Assignment
1. Do Q No 8, 9 and 10 in your math notebook.