Write in expanded form:
(a) 74836
(b) 574021
(c) 8907010
(a) \(70000 + 4000 + 800 + 30 + 6\)
(b) \(500000 + 70000 + 4000 + 0 + 20 + 1\)
(c) \(8000000 + 900000 + 0 + 7000 + 0 + 10\)
Idea: Split the number by place values (ones, tens, hundreds, thousands, ten-thousands, lakhs/millions, etc.). Each digit multiplies its place value.
(a) 74836
Digits and places:
\(7\) → ten-thousands \(= 7\times10000 = 70000\)
\(4\) → thousands \(= 4\times1000 = 4000\)
\(8\) → hundreds \(= 8\times100 = 800\)
\(3\) → tens \(= 3\times10 = 30\)
\(6\) → ones \(= 6\times1 = 6\)
Add them to get the expanded form.
(b) 574021
\(5\) → hundred-thousands \(= 5\times100000 = 500000\)
\(7\) → ten-thousands \(= 7\times10000 = 70000\)
\(4\) → thousands \(= 4\times1000 = 4000\)
\(0\) → hundreds \(= 0\times100 = 0\)
\(2\) → tens \(= 2\times10 = 20\)
\(1\) → ones \(= 1\times1 = 1\)
Write each term on a new line and add.
(c) 8907010
\(8\) → millions \(= 8\times1000000 = 8000000\)
\(9\) → hundred-thousands \(= 9\times100000 = 900000\)
\(0\) → ten-thousands \(= 0\times10000 = 0\)
\(7\) → thousands \(= 7\times1000 = 7000\)
\(0\) → hundreds \(= 0\times100 = 0\)
\(1\) → tens \(= 1\times10 = 10\)
\(0\) → ones \(= 0\times1 = 0\)
Add all the terms. Zeros show missing place values clearly.