Find the value of : 0.25÷32

Q: Find the value of : 0.25÷32

To find the value of $0.25 \div 32$, we need to perform the division operation accurately. Let's break down the calculation: 1. **Perform the Division:** - $0.25 \div 32$ can be rewritten as $\frac{0.25}{32}$. - To simplify this, we can convert 0.25 into a fraction: $0.25 = \frac{1}{4}$. - Now, the expression becomes $\frac{1}{4} \div 32$. - Dividing by 32 is the same as multiplying by $\frac{1}{32}$, so the expression becomes $\frac{1}{4} \times \frac{1}{32}$. - Multiply the fractions: $\frac{1 \times 1}{4 \times 32} = \frac{1}{128}$. 2. **Convert the Fraction to Decimal:** - $\frac{1}{128}$ is equivalent to 0.0078125 when converted to a decimal. Therefore, the correct answer is 0.0078125, which corresponds to Option 4. **Explanation for Incorrect Options:** - **Option 1: 0.078125** - This value is incorrect because it is ten times larger than the correct result. The division of 0.25 by 32 results in a much smaller number, specifically 0.0078125, not 0.078125. - **Option 2: 0.78** - This option is incorrect as it is significantly larger than the correct answer. The division of a small number like 0.25 by a large number like 32 results in a very small decimal, not a number close to 1. - **Option 3: 0.72185** - This option is incorrect because it is not only larger than the correct answer but also does not relate to the division operation performed. The correct result is a small decimal, 0.0078125, not 0.72185. In conclusion, the correct answer is Option 4: 0.0078125, as it accurately represents the result of dividing 0.25 by 32.

Question

Accepted Answer

To find the value of $0.25 \div 32$, we need to perform the division operation accurately. Let's break down the calculation:

1. **Perform the Division:**
   - $0.25 \div 32$ can be rewritten as $\frac{0.25}{32}$.
   - To simplify this, we can convert 0.25 into a fraction: $0.25 = \frac{1}{4}$.
   - Now, the expression becomes $\frac{1}{4} \div 32$.
   - Dividing by 32 is the same as multiplying by $\frac{1}{32}$, so the expression becomes $\frac{1}{4} \times \frac{1}{32}$.
   - Multiply the fractions: $\frac{1 \times 1}{4 \times 32} = \frac{1}{128}$.

2. **Convert the Fraction to Decimal:**
   - $\frac{1}{128}$ is equivalent to 0.0078125 when converted to a decimal.

Therefore, the correct answer is 0.0078125, which corresponds to Option 4.

**Explanation for Incorrect Options:**

- **Option 1: 0.078125**
  - This value is incorrect because it is ten times larger than the correct result. The division of 0.25 by 32 results in a much smaller number, specifically 0.0078125, not 0.078125.

- **Option 2: 0.78**
  - This option is incorrect as it is significantly larger than the correct answer. The division of a small number like 0.25 by a large number like 32 results in a very small decimal, not a number close to 1.

- **Option 3: 0.72185**
  - This option is incorrect because it is not only larger than the correct answer but also does not relate to the division operation performed. The correct result is a small decimal, 0.0078125, not 0.72185.

In conclusion, the correct answer is Option 4: 0.0078125, as it accurately represents the result of dividing 0.25 by 32.