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

Understand the Question

To convert a fraction with a denominator of $10$ $10$ , $100$ $100$ , or $1000$ $1000$ into a decimal, shift the decimal point to the left by as many places as there are zeros in the denominator:
- Dividing by $10$ moves the decimal point $1$ place to the left (e.g. $\dfrac{3}{10} = 0.3$ ).
- Dividing by $100$ moves the decimal point $2$ places to the left.
- Dividing by $1000$ moves the decimal point $3$ places to the left.
If the numerator has fewer digits than the required number of decimal places, add leading zeros after the decimal point as placeholders.

(i) Write Pallabi's answer for $\dfrac{4}{100}$

Step 1 · Convert to Decimal

Dividing by $100$ moves the decimal point $2$ places to the left. Diagram 1

\dfrac{4}{100} = 0.04

Answer

(i) $0.04$

(ii) Write Pallabi's answer for $\dfrac{67}{1000}$

Step 1 · Convert to Decimal

Dividing by $1000$ moves the decimal point $3$ places to the left.

\dfrac{67}{1000} = 0.067

Answer

(ii) $0.067$

(iii) Write Pallabi's answer for $\dfrac{457}{100}$

Step 1 · Convert to Decimal

Dividing by $100$ moves the decimal point $2$ places to the left.

\dfrac{457}{100} = 4.57

Answer

(iii) $4.57$

(iv) Write Pallabi's answer for $\dfrac{71}{100}$

Step 1 · Convert to Decimal

Dividing by $100$ moves the decimal point $2$ places to the left.

\dfrac{71}{100} = 0.71

Answer

(iv) $0.71$

(v) Write Pallabi's answer for $\dfrac{43}{100}$

Step 1 · Convert to Decimal

Dividing by $100$ moves the decimal point $2$ places to the left.

\dfrac{43}{100} = 0.43

Answer

(v) $0.43$

(vi) Write Pallabi's answer for $\dfrac{9}{100}$

Step 1 · Convert to Decimal

Dividing by $100$ moves the decimal point $2$ places to the left.

\dfrac{9}{100} = 0.09

Answer

(vi) $0.09$

Common Mistakes

Missing Placeholder Zeros: Writing $\dfrac{4}{100} = 0.4$ instead of $0.04$ , or $\dfrac{9}{100} = 0.9$ instead of $0.09$ . When there are fewer digits in the numerator than zeros in the denominator, add extra zeros to the left.
Counting Decimal Places: Incorrectly counting the zeros, e.g., writing $\dfrac{67}{1000} = 0.67$ ( $2$ decimal places) instead of $0.067$ ( $3$ decimal places).

Question 1