Question

Expand 1965.245 using exponents.


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Answer 1

$Expanded \:form \: of \: 1965.245$

$= 1000 + 900 + 60 + 5 + 0.2+0.04+0.005$

$= 1000 + 900 + 60 + 5 + \frac{2}{10}+\frac{4}{100}+\frac{5}{1000}$

$= 1\times 10^{3} + 9 \times 10^{2} + 6\times 10^{1} + 5 \times 10^{0} + 2\times 10^{-1} + 4 \times 10^{-2} + 5 \times 10^{-3}$

Therefore.,

$\red{Expanded \:form \: of \: 1965.245}$

$\green { = 1\times 10^{3} + 9 \times 10^{2} + 6\times 10^{1} + 5 \times 10^{0} + 2\times 10^{-1} + 4 \times 10^{-2} + 5 \times 10^{-3}}$

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Answer 2

Answer:

$= 1000 + 900 + 60 + 5 \\ + 0.2 + 0.04 + 0.005$

$1 \times {10}^{3} + 9 \times {10}^{2} + 6 \times {10}^{1} + 5 \\ \times {10}^{0} + 2 \times {10}^{ - 1} \times 4 \times {10}^{ - 2} \\ + 5 \times {10}^{ - 3}$

Step-by-step explanation:

$\huge \boxed{note : - }$

$\: anything \: to \: the \: power \: 0 \\ is \: one \: .example$

$\huge {10}^{0} = 1$

$if \:any\: number \:negative \:term \:in\\ power\: then\: it\: is a fraction$

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