Increasing Order Numbers MCQ Solution

This solution guides you through arranging decimal numbers in increasing order, from the smallest value to the largest.

Numbers to Order

The given numbers are:

• (1) $-0.96$
• (2) $0.83$
• (3) $0.24$
• (4) $-0.64$
• (5) $0.58$

Ordering Negative Numbers

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, $-0.96 < -0.64$.

Ordering Positive Numbers

Identify the positive numbers: $0.83$, $0.24$, and $0.58$. Compare these values directly. The order from smallest to largest is $0.24 < 0.58 < 0.83$.

Final Increasing Order

Combine the ordered negative and positive numbers. The complete sequence in increasing order is:

$-0.96, -0.64, 0.24, 0.58, 0.83$

Mapping Numbers to Order

Match this determined order back to the original numbering:

• $-0.96$ corresponds to number (1)
• $-0.64$ corresponds to number (4)
• $0.24$ corresponds to number (3)
• $0.58$ corresponds to number (5)
• $0.83$ corresponds to number (2)

Thus, the sequence representing the increasing order is 1, 4, 3, 5, 2.