To solve the problem of finding the value of \(3.31 \times 0.226\) given that \(331 \times 226 = 74806\), we will first break down the given equation and apply the properties of decimals.
- First, observe that \(3.31\) can be represented as \(\frac{331}{100}\) and \(0.226\) can be represented as \(\frac{226}{1000}\).
- Thus, the expression \(3.31 \times 0.226\) can be rewritten as:
- Now, simplify further by multiplying the numerators and denominators:
- From the problem information, we know \(331 \times 226 = 74806\), substituting this in gives us:
- Dividing \(74806\) by \(100000\) involves moving the decimal point five places to the left:
- Thus, the value of \(3.31 \times 0.226\) is \(0.74806\).
Therefore, the correct answer is 0.74806. This matches the given option and validates through the arithmetic breakdown and calculation using the given integer multiplication.
Similar Questions
- Solve the following.
$3.142 + 3.61 - 2.12 + 4 - 7.6 =$ ? What will the value of the following be (correct to three decimal points)?
$160.342 - 32.124$
Arrange the following numbers in their increasing order.
(1) $-0.96$
(2) $0.83$
(3) $0.24$
(4) $-0.64$
(5) $0.58$
- Which of the following has terminal decimal representation?
- The value of $0.\overline{23} + 0.\overline{22}$ is:
- If the value of $\frac{1}{36.18}$ is $0.0276$, then what is the value of $\frac{1}{0.0003618}$?
Simplify the given expression.
$9 \times 0.9 \times 0.09 \times 0.009 \times \frac{1}{0.3} \times \frac{1}{0.03} \times \frac{1}{0.003}$- When 0.434343..... is converted into a fraction, then the result will be:
- $0.5\overline{32}$ is equivalent to the fraction:
- How will you write 2.84 hours in hours, minutes and seconds?
Important Questions from Decimals
What is the result when 0.129129129… is converted to a fraction?
Which of the following statement(s) is/are correct?
I. (3/11) > 0.3
II. (7/8) > 0.86
The value of \(1.\overline{3}+0.\overline{69}-0.5\overline{23}\) is equal to:
The value of \(0.\bar 4 + 0.5 \bar 9 - 0.4 \overline{23}\) is equal to:
If 19 × 23 = 437, then find the value of (190 × 0.023).
