Question

which number has a 3 with a value that is 100 times greater than the value of the 3 in 20.342? 423.06 307.18 36.25 108.173

Explanation:

Step1: Find the value of 3 in 20.342

In 20.342, the 3 is in the tenths place. So its value is $3\times\frac{1}{10} = 0.3$.

Step2: Calculate 100 times this value

100 times 0.3 is $0.3\times100 = 30$. So we need to find a number where the 3 has a value of 30 (i.e., the 3 is in the tens place).

Step3: Check each option

• 423.06: The 3 is in the ones place (value 3), not tens.
• 307.18: The 3 is in the hundreds place (value 300), not tens.
• 36.25: The 3 is in the tens place (value 30), which matches.
• 108.173: The 3 is in the thousandths place (value 0.003), not tens.

Answer:

C. 36.25 (assuming the options are labeled A:423.06, B:307.18, C:36.25, D:108.173)