Which of the following is at third place when the numbers are arranged in ascending order ?
7.07, 7.70, 7.707, 7.007, 0.77

The correct option is 7.07.

To find which number is in the third place when arranged in ascending order (from smallest to largest), let us first compare the given decimal numbers:
7.07, 7.70, 7.707, 7.007, and 0.77

Step 1: Convert all decimal numbers to like decimals.
By adding trailing zeros so that each number has three decimal places, we get:
• 7.070
• 7.700
• 7.707
• 7.007
• 0.770

Step 2: Compare the numbers to arrange them in ascending order.
1. 0.770 is the smallest because its whole number part is 0.
2. Among the remaining numbers with whole number part 7, compare the tenths digit:
- 7.007 and 7.070 both have 0 in the tenths place. Comparing their hundredths digit, 7.007 has 0 while 7.070 has 7. Thus, 7.007 < 7.070.
- 7.700 and 7.707 both have 7 in the tenths place. Comparing their thousandths digit, 7.700 has 0 while 7.707 has 7. Thus, 7.700 < 7.707.

Step 3: Write the full ascending order list.
$0.77<7.007<7.07<7.70<7.707$

Looking at the ordered list:
• 1st place: 0.77
• 2nd place: 7.007
• 3rd place: 7.07
• 4th place: 7.70
• 5th place: 7.707

Therefore, the number at the third place is 7.07.