Final answer:
The number with a 3 that is one-tenth the value of the 3 in 513 is (d) 3.7, as this places the digit 3 in the tenths place, representing 0.3.
Step-by-step explanation:
The question asks which number has a 3 that is one-tenth the value of the 3 in 513. In the number 513, the digit 3 is in the ones place, so it has a value of 3. To find a 3 that is worth one-tenth of this, we need a number where the digit 3 is in the tenths place, representing 0.3. Therefore, from the options given, we need the 3 to be immediately to the right of the decimal point.
Option (a) 34 is just the digit 3 in the tens place, (b) 35 is the digit 3 in the tens place, (c) 36 is again the digit 3 in the tens place, and option (d) 3.7 has the digit 3 one-tenth the value of the 3 in 513 because it is in the tenths place. Therefore, the correct answer is (d) 3.7.