Arrange the following numbers in their increasing order. (1) $-0.96$ (2) $0.83$ (3) $0.24$ (4) $-0.64$ (5) $0.58$
This solution guides you through arranging decimal numbers in increasing order, from the smallest value to the largest.
The given numbers are:
Identify the negative numbers: $-0.96$ and $-0.64$. Negative numbers are smaller than positive numbers. To compare them, consider their distance from zero (absolute value). The number further from zero is smaller. Since $|-0.96| > |-0.64|$, it means $-0.96$ is smaller than $-0.64$. So, $-0.96 < -0.64$.
Identify the positive numbers: $0.83$, $0.24$, and $0.58$. Compare these values directly. The order from smallest to largest is $0.24 < 0.58 < 0.83$.
Combine the ordered negative and positive numbers. The complete sequence in increasing order is:
$-0.96, -0.64, 0.24, 0.58, 0.83$
Match this determined order back to the original numbering:
Thus, the sequence representing the increasing order is 1, 4, 3, 5, 2.
Simplify the given expression.
$9 \times 0.9 \times 0.09 \times 0.009 \times \frac{1}{0.3} \times \frac{1}{0.03} \times \frac{1}{0.003}$
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 \(5\left( {1 - \frac{x}{5}} \right) - (5 - x) - \frac{1}{{200}}{\rm{of (20 - x) = 0}}{\rm{.08}}\) ?