Question

Expand using exponents. a) 8024.132 b) 645.28​

Answer 1

Answer:

Expanded form of 1025.63=

\begin{gathered}1\times10^{3}+0\times10^{2}\\+2\times10^{1}+5\times10^{0}+6\times 10^{-1}\\+3\times 10^{-2}\end{gathered}1×103+0×102+2×101+5×100+6×10−1+3×10−2

Explanation:

Given Decimal number 1025.63

Now,

Expansion of 1025.63

= 1000+0+20+5+0.6+0.03

= \begin{gathered}1\times10^{3}+0\times10^{2}\\+2\times10^{1}+5\times10^{0}+6\times 10^{-1}\\+3\times 10^{-2}\end{gathered}1×103+0×102+2×101+5×100+6×10−1+3×10−2

Therefore,

1025.63 = \begin{gathered}1\times10^{3}+0\times10^{2}\\+2\times10^{1}+5\times10^{0}+6\times 10^{-1}\\+3\times 10^{-2}\end{gathered}1×103+0×102+2×101+5×100+6×10−1+3×10−2

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