Question

Look at the second sheet. Each strip is divided into 10 equal boxes. How many boxes are there in all?




Is each box 1/100 part of the sheet?
How many blue boxes are there? ______
Is blue equal to 10/100 of the sheet? We saw that blue is also equal to 1/10 of the sheet. We wrote it as 0.1 of the sheet.

Can we say 10/100 = 1/10 = 0.10 = 0.1?
Think: Can we write ten paise as 0.1 of a rupee?
How many boxes are red? What part of the sheet is this? 15/____
Can we also write it as 0.15 of the sheet?
Now 3/100 of the sheet is black. We can say 0.____ sheet is black.
How many white boxes are there in the sheet?
What part of the second sheet is white? _____

Answer 1

Number of boxes in 1 strip = 10
There are a total of 10 strips in the sheet.
So, number of boxes in 10 strips = 10 × 10
= 100
Yes, each box is $\frac{1}{100}$ part of the sheet.

There are 10 blue boxes in the sheet.
Yes blue equals to $\frac{10}{100}$ of the sheet.
It is given that blue is equal to $\frac{1}{10}$ of the sheet.
Now, $\frac{1}{10}=\frac{1\times 10}{10\times 10}=\frac{10}{100}$
Thus, $\frac{1}{10}$ is also equal to $\frac{10}{100}$ of the sheet.
And, $\frac{1}{10}$ = 0.1

So,

$\frac{10}{100}$ = $\frac{1}{10}$ = 0.10 = 0.1

Now, 100 paise = Re 1
So, we need ten 10 paise coins to make Re 1.
Thus, we can say that 10 paise is $\frac{1}{10}$ of a rupee.
Now, $\frac{1}{10}$ = 0.1
So, 10 paise is 0.1 of a rupee.

There are a total of 15 red boxes in the sheet.
Total number of boxes in the sheet = 100
Part of the sheet that is red = $\frac{15}{100}$
Now, $\frac{15}{100}=0.15$
So, 0.15 of the sheet is red.

It is given that $\frac{3}{100}$ of the sheet is black.
Now, $\frac{3}{100}=0.03$

So, we can say that 0.03 of the sheet is black.

There are a total of 22 white boxes in the sheet.

So, part of the sheet that is white = $\frac{22}{100}$

= 0.22
Thus, 0.22 of the sheet is white.