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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].
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].
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