Question

Buster was given this expression and asked to determine whether the answer is greater than or less than 1. (9.763 × 108) (1.56 × 1013) How can Buster tell without fully performing the calculations?

Answer 1

Answer:

The given expression is less than 1

Step-by-step explanation:

Given : Expression - $\frac{9.763\times10^8}{1.56\times10^{13}}$

By the theory of fractions i.e.

→  If the numerator is less than the denominator the fraction is called proper fraction and it is greater then 0 but less than 1.

→  If the numerator is greater than or equal to the denominator the fraction is called improper fraction and it is always greater then 1 or equal to 1.

In the given expression, the numerator ${9.763\times10^8}$ is less then the denominator ${1.56\times10^{13}}$

as  $10^8$

which means it is a proper fraction or the fraction is greater than 0 but less than 1.

Therefore, the given expression is less than 1.

Answer 2

"Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5"