Question

The lengths of Car A and Car B are given below:

If the place value of 9 in the value of Car A is 100 times the place value of 9 in the length of another Car B, find the length of the Car B.

• A. 2091 cm
• B. 9085 cm
• C. 2509 cm
• D. 3944 cm

Answer 1

The correct option is C 2509 cm

In case of first option:
Length of Car A = 1903 cm
Length of Car B will be = 2091 cm
On comparing through a place value chart, we get:
So, the place value of 9 in the length measurement of Car A is only 10 times that of place value of 9 in case of Car B.
∴ First option will not be the correct one.

Similarly, in case of second option:
Length of Car A = 1903 cm
Length of Car B will be = 9085 cm
On comparing through a place value chart, we get:
So, the place value of 9 in the length measurement of Car A is only $\frac{1}{10}$ times that of place value of 9 in case of Car B.
∴ Second option will not be the correct one.

In case of third option:
Length of Car A = 1903 cm
Length of Car B will be = 2509 cm
On comparing through a place value chart, we get:
So, the place value of 9 in the length measurement of Car A is 100 times that of place value of 9 in case of Car B.
∴ Third option will be the correct one.

Finally, in case of fourth option:
Length of Car A = 1903 cm
Length of Car B will be = 3944 cm
On comparing through a place value chart, we get:
So, the place value of 9 in the length measurement of Car B is same as that of place value of 9 in case of Car A.
∴ Fourth option will be the correct one.

Hence, the length of the Car B is 2509 cm.