Question

N. Write each of the following in
exponential notation:
a. 3,672,199 b. 0.000098
c. 0.00461 d. 198.75
.​

Answer 1

Answer:

a.3.672199×10^6

b.9.8×10^-5

c.4.61×10^-3

d.1.9875×10^2

Answer 2

Exponential terms for given numbers

• The general concept involved for the conversion of the scientific numbers to exponential form is that it must be written in such a way that the left of the decimal point contains only one number.
• While doing so, if the decimal is moved forward, the exponent value will be in negative, whereas if it is moved backward, the exponent value will be positive.

a) 3672199.0

• In this number, the decimal point must be moved backward to 6 digits such that it gives 3.6721990.
• As we have moved 6 digits backward, the exponential term of this number is $3.6721990\times10^6$.

b) 0.000098

• In this number, the decimal point must be moved forward to 5 digits such that it gives $9.8$.
• As we have moved 5 digits forward, the exponential term of this number is $9.8\times10^{-5}$.

c) 0.00461

• In this number, the decimal point must be moved forward to 3 digits such that it gives 4.61.
• As we have moved 4 digits forward, the exponential term of this number is $4.61\times10^{-3}$.

d) 198.75

• In this number, the decimal point must be moved backward to 2 digits such that it gives 1.98.
• As we have moved 2 digits backward, the exponential term of this number is $1.9875\times10^2$.

Learn more about such concept

Express the number 45000 in exponential notation to show four significant figure.

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What is Scientific Notation and significant figures.

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