Discover new information and insights with the help of IDNLearn.com. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

Using the information from the previous steps, record the correct scientific notation for the number.

[tex]\[ \left(0.0045 \times 10^3\right) \times \frac{10^7}{10^3} \][/tex]

[tex]\[ ? \times 10^? \][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.


Sagot :

Sure! Let's walk through the steps to solve the given problem and record the number in scientific notation:

1. Start with the Initial Value:
[tex]\[ 0.0045 \times 10^3 \][/tex]
Multiply 0.0045 by [tex]\(10^3\)[/tex]:
[tex]\[ 0.0045 \times 10^3 = 4.5 \][/tex]

2. Next Calculation:
[tex]\[ 4.5 \times \frac{10^7}{10^3} \][/tex]
Simplify the fraction [tex]\(\frac{10^7}{10^3}\)[/tex]:
[tex]\[ \frac{10^7}{10^3} = 10^{7-3} = 10^4 \][/tex]
Now multiply 4.5 by [tex]\(10^4\)[/tex]:
[tex]\[ 4.5 \times 10^4 = 4.5 \times 10^4 \][/tex]

So, the number [tex]\( (0.0045 \times 10^3) \times \frac{10^7}{10^3} \)[/tex] in scientific notation is:
[tex]\[ \boxed{4.5} \times 10^{\boxed{4}} \][/tex]

Here, the coefficient is [tex]\( 4.5 \)[/tex] and the exponent is [tex]\( 4 \)[/tex].