Jonali and Pallabi play a game. Jonali says a fraction and Pallabi gives the equivalent decimal. Write Pallabi's answer in the blank spaces.

Question

Homi · Accepted Answer

We convert fractions to decimals by moving the decimal point based on the denominator.

Step 1 — Understanding the first example

The first fraction is $3/10$ . This means 3 divided by 10. When we divide by 10, we move the decimal point one place to the left. The number 3 can be written as $3.0$ . Moving the decimal point one place left gives us $0.3$ . This answer is already given in the table.

Diagram 1

Step 2 — Converting 4/100

The next fraction is $4/100$ . This means 4 divided by 100. When we divide by 100, we move the decimal point two places to the left. The number 4 can be written as $4.0$ . To move the decimal point two places, we add a zero before the 4. So, $4.0$ becomes $0.04$ .

$\frac{4}{100}$

$= 0.04$

$\boxed{0.04}$

Step 3 — Converting 67/1000

The next fraction is $67/1000$ . This means 67 divided by 1000. When we divide by 1000, we move the decimal point three places to the left. The number 67 can be written as $67.0$ . To move the decimal point three places, we add a zero before the 67. So, $67.0$ becomes $0.067$ .

$\frac{67}{1000}$

$= 0.067$

$\boxed{0.067}$

Step 4 — Converting 457/100

The next fraction is $457/100$ . This means 457 divided by 100. When we divide by 100, we move the decimal point two places to the left. The number 457 can be written as $457.0$ . Moving the decimal point two places left gives us $4.57$ .

$\frac{457}{100}$

$= 4.57$

$\boxed{4.57}$

Step 5 — Converting 71/100

The next fraction is $71/100$ . This means 71 divided by 100. When we divide by 100, we move the decimal point two places to the left. The number 71 can be written as $71.0$ . Moving the decimal point two places left gives us $0.71$ .

$\frac{71}{100}$

$= 0.71$

$\boxed{0.71}$

Step 6 — Converting 43/100

The next fraction is $43/100$ . This means 43 divided by 100. When we divide by 100, we move the decimal point two places to the left. The number 43 can be written as $43.0$ . Moving the decimal point two places left gives us $0.43$ .

$\frac{43}{100}$

$= 0.43$

$\boxed{0.43}$

Step 7 — Converting 9/100

The last fraction is $9/100$ . This means 9 divided by 100. When we divide by 100, we move the decimal point two places to the left. The number 9 can be written as $9.0$ . To move the decimal point two places, we add a zero before the 9. So, $9.0$ becomes $0.09$ .

$\frac{9}{100}$

$= 0.09$

$\boxed{0.09}$

Answer

(i) For $4/100$ , Pallabi's answer is 0.04. (ii) For $67/1000$ , Pallabi's answer is 0.067. (iii) For $457/100$ , Pallabi's answer is 4.57. (iv) For $71/100$ , Pallabi's answer is 0.71. (v) For $43/100$ , Pallabi's answer is 0.43. (vi) For $9/100$ , Pallabi's answer is 0.09.

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