Vivek is studying decimals. He does not know about rounding. He wants ...
Step 1: Find the digit at the hundredth place in 7.502.
So, it is 0.
Step 2: Check the digit at the thousandth place in it.
It is 2.
As 2 < 5, so the digit at the hundredth place will remain the same.
Hence, the number after rounding to the nearest hundredth is '7.50'.
Vivek is studying decimals. He does not know about rounding. He wants ...
Understanding Rounding to the Nearest Hundredth
Rounding is a method used to simplify numbers while preserving their value as closely as possible. In this case, Vivek wants to round the number 7.502 to the nearest hundredth.
Identifying the Hundredths Place
- The number 7.502 has three decimal places:
- The first decimal place (tenths) is 5.
- The second decimal place (hundredths) is 0.
- The third decimal place (thousandths) is 2.
Rounding Rules
- To round to the nearest hundredth, look at the digit in the thousandths place (the third decimal).
- If this digit is 5 or greater, you round up the hundredths place.
- If it is less than 5, you keep the hundredths place the same.
Applying the Rounding Rules
- In the number 7.502:
- The hundredths place is 0.
- The thousandths place is 2, which is less than 5.
Conclusion: Rounding Result
- Since the thousandths digit (2) is less than 5, we do not round up.
- Therefore, the rounded number is 7.50.
Choosing the Correct Option
- Among the options provided:
- a) 7.50
- b) 7.51
- c) 7.05
- d) 7.15
- The correct answer is option a) 7.50.
This is the rounded value of 7.502 to the nearest hundredth. Option b) 7.51 is incorrect as it represents rounding up, which does not apply in this case.