1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Which is the correct relation for the numbers 3.28×107 and 4.59×105, written in scientific notation?

A
4.59×105>3.28×107
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4.59×105<3.28×107
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
4.59×105=3.28×107
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Cannot be determined
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 4.59×105<3.28×107First 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.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Comparing Numbers Using Scientific Notation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program