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
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$0.25 \div 0.0025 \times 0.025 \times 2.5$ Simplify the given expression.
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Arrange the following numbers in their increasing order.
(1) $-0.96$
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Important Questions from Decimals
The value of \(\frac{1}{4} + \frac{{[{{(20.35)}^2} - {{(8.35)}^2}] \times 0.0175}}{{{{(1.05)}^2} + (1.05)(27.65)}}\) is:
The value of \(0.4\overline 6 + 0.7\overline {23} - 0.3\overline 9 \times 0.\overline 7 \) is:
The value of \(\frac{48.3\times[(4.95)^2+4.95\times13.25]}{[(12.55)^2-(5.65)^2]\times19.8} \) is:
Find the value of (1.6) 3 - (0.9) 3 - (0.7) 3.
What is the value of x, if \(5\left( {1 - \frac{x}{5}} \right) - (5 - x) - \frac{1}{{200}}{\rm{of (20 - x) = 0}}{\rm{.08}}\) ?
