The correct option is B 4.59×105<3.28×107
First Method:––––––––––––––––––
Step 1:
Write the numbers in scientific notation. Here, 3.28×107 and 4.59×105 are already in scientific notation.
Step 2:
Compare the exponents of numbers. The larger the exponent, the greater the number.
∵ 7>5
⇒ 3.28×107>4.59×105
Second Method:––––––––––––––––––––
We can compare the numbers by making the same exponent to the base 10.
In 4.59×105, to convert the exponent of 10 as 7, we need to multiply 102 with 105. And, we can achieve that by moving the decimal point in 004.59 by 2 units to the left.
Making the powers of 10 as 7 for both the numbers:
3.28×107 and 4.59×105=0.0459×107
The number with the larger coefficient is greater.
∵3.28>0.0459
⇒3.28×107>0.0459×107
Hence, the correct comparsion between the numbers 3.28×107 and 4.59×105 would be 4.59×105<3.28×107––––––––––––––––––––––––––.
Therefore, option (b.) is the correct one.