Answer:
1. 75000 ⇒ 7.5 × [tex]10^{4}[/tex]
2. 0.0024 ⇒ 2.4 × [tex]10^{-3}[/tex]
3. 75,000,000 ⇒ 7.5 × [tex]10^{7}[/tex]
4. 0.0000024 ⇒ 2.4 × [tex]10^{-6}[/tex]
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers.
A number is written in scientific as a number between 1 and 10 and multiplied by a power of 10
The form of the scientific notation is a × [tex]10^{n}[/tex], where
1. 75000
→ Place a decimal point between 7 and 5 to make the number between
1 and 10
∴ a = 7.5
→ Count the number of the digits right to the decimal point
∵ There are 4 digits right to the decimal point
∴ n = 4
∴ 75000 ⇒ 7.5 × [tex]10^{4}[/tex]
2. 0.0024
→ Move the decimal point from left to right to place it between 2 and 4 to
make the number between 1 and 10
∴ a = 2.4
→ Count the number of the digits left to the decimal point
∵ There are 3 digits left to the decimal point
∴ n = -3
∴ 0.0024 ⇒ 2.4 × [tex]10^{-3}[/tex]
3. 75,000,000
→ Place a decimal point between 7 and 5 to make the number between
1 and 10
∴ a = 7.5
→ Count the number of the digits right to the decimal point
∵ There are 7 digits right to the decimal point
∴ n = 7
∴ 75,000,000 ⇒ 7.5 × [tex]10^{7}[/tex]
4. 0.0000024
→ Move the decimal point from left to right to place it between 2 and 4 to
make the number between 1 and 10
∴ a = 2.4
→ Count the number of the digits left to the decimal point
∵ There are 6 digits left to the decimal point
∴ n = -6
∴ 0.0000024 ⇒ 2.4 × [tex]10^{-6}[/tex]
