$0.25 \div 0.0025 \times 0.025 \times 2.5$
Simplifying Decimal Expression
The problem asks to simplify the following expression:
$0.25 ÷ 0.0025 × 0.025 × 2.5$
Step-by-Step Calculation
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Division: First, perform the division. Convert the decimals to fractions or multiply the numerator and denominator by a power of 10 to remove decimal places.
$0.25 ÷ 0.0025 = \frac{0.25}{0.0025}$
Multiply numerator and denominator by 10000:
$\frac{0.25 \times 10000}{0.0025 \times 10000} = \frac{2500}{25} = 100$
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Multiplication: Now substitute the result back into the expression:
$100 × 0.025 × 2.5$
Perform the first multiplication:
$100 × 0.025 = 2.5$
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Final Multiplication: Perform the last multiplication:
$2.5 × 2.5 = 6.25$
The simplified value of the expression is 6.25.
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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 \(5\left( {1 - \frac{x}{5}} \right) - (5 - x) - \frac{1}{{200}}{\rm{of (20 - x) = 0}}{\rm{.08}}\) ?
