Question

Exponential terms of a.0.0003498
B.235.4678
C.70000.0
D.1569.00

Answer 1

Three steps solutions

Explanation:

a. 0.0003498

exponential form = $3.498\times 10^{-4}$

b.235.4678

exponential form = $2.354678\times 10^{2}$

c. 70000.0

exponential form = $7\times 10^4$

d. 1569.00

exponential form =$1.569\times 10^3$

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 decimal.
• 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) 0.0003498

• In this number, the decimal point must be moved forward to 4 digits such that it gives 3.498.
• As we have moved 4 digits forward, the exponential term of this number is $3.498\times 10^{-4}$.

b) 235.4678

• In this number, the decimal point must be moved backward to 2 digits such that it gives 2.354678
• As we have moved 2 digits backward, the exponential term of this number is $2.354678\times 10^2$.

c) 70000.0

• In this number, the decimal point must be moved backward to 4 digits such that it gives 7.00000
• As we have moved 4 digits backward, the exponential term of this number is $7.00000\times10^4$.

d) 1569.00

• In this number, the decimal point must be moved backward to 3 digits such that it gives 1.56900.
• As we have moved 3 digits backward, the exponential term of this number is $1.56900\times10^3$.

Learn more about such concept

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

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