Quelle est la décomposition correcte de chacun des entiers naturels suivants ? 8457 \(\displaystyle{8\ 457 = \left(8\times 1\ 000\right) +\left(4\times 100\right) + \left(5\times 10\right) +\left(7\times 1\right)}\)\(\displaystyle{8\ 457 = \left(8\times 100\right) +\left(4\times 10\right) + \left(5\times 1\right) +\left(7\times 0,1\right)}\)\(\displaystyle{8\ 457 = \left(8\times 10\ 000\right) +\left(4\times 1\ 000\right) + \left(5\times 100\right) +\left(7\times 10\right)}\)\(\displaystyle{8\ 457 = \left(7\times 1\ 000\right) +\left(5\times 100\right) + \left(4\times 10\right) +\left(8\times 1\right)}\) 3782 \(\displaystyle{3\ 782 = \left(3\times 1\ 000\right) +\left(7\times 100\right) + \left(8\times 10\right) +\left(2\times 1\right)}\)\(\displaystyle{3\ 782 = \left(3\times 10\ 000\right) +\left(7\times 100\right) + \left(8\times 1\right) +\left(2\times 1\ 000\right)}\)\(\displaystyle{3\ 782 = \left(2\times 1\ 000\right) +\left(8\times 100\right) + \left(7\times 1\right) +\left(3\times 1\ 000\right)}\)\(\displaystyle{3\ 782 = \left(2\times 10\ 000\right) +\left(8\times 1\ 000\right) + \left(7\times 100\right) +\left(3\times 10\right)}\) 9966 \(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(6\times 1\right)}\)\(\displaystyle{9\ 966 = \left(9\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) +\left(6\times 10\right)}\)\(\displaystyle{9\ 966 = \left(6\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(9\times 1\right)}\)\(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(6\times 100\right) + \left(9\times 10\right) +\left(6\times 1\right)}\) 2960 \(\displaystyle{2\ 960 = \left(2\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) }\)\(\displaystyle{2\ 960 = \left(2\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) }\)\(\displaystyle{2\ 960 = \left(2\times 100\right) +\left(9\times 10\right) + \left(6\times 1\right) }\)\(\displaystyle{2\ 960 = \left(2\times 10\right) +\left(9\times 1\right) + \left(6\times 0\right) }\) 7063 \(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 1\right)}\)\(\displaystyle{7\ 063 = \left(7\times 10\ 000\right) + \left(6\times 100\right) +\left(3\times 10\right)}\)\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 100\right) +\left(3\times 1\right)}\)\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 10\right)}\) 994 \(\displaystyle{994 = \left(9\times 100\right) + \left(9\times 10\right) +\left(4\times 1\right)}\)\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 1\right)}\)\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 10\right)}\)\(\displaystyle{994 = \left(9\times 100\right) + \left(9\times 1\right) +\left(4\times 0\right)}\) 584 \(\displaystyle{584 = \left(5\times 100\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)\(\displaystyle{584 = \left(5\times 100\right) + \left(8\times 1\right) +\left(4\times 0\right)}\)\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 100\right) +\left(4\times 1\right)}\)\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)
8457 \(\displaystyle{8\ 457 = \left(8\times 1\ 000\right) +\left(4\times 100\right) + \left(5\times 10\right) +\left(7\times 1\right)}\)\(\displaystyle{8\ 457 = \left(8\times 100\right) +\left(4\times 10\right) + \left(5\times 1\right) +\left(7\times 0,1\right)}\)\(\displaystyle{8\ 457 = \left(8\times 10\ 000\right) +\left(4\times 1\ 000\right) + \left(5\times 100\right) +\left(7\times 10\right)}\)\(\displaystyle{8\ 457 = \left(7\times 1\ 000\right) +\left(5\times 100\right) + \left(4\times 10\right) +\left(8\times 1\right)}\)
8457 \(\displaystyle{8\ 457 = \left(8\times 1\ 000\right) +\left(4\times 100\right) + \left(5\times 10\right) +\left(7\times 1\right)}\)\(\displaystyle{8\ 457 = \left(8\times 100\right) +\left(4\times 10\right) + \left(5\times 1\right) +\left(7\times 0,1\right)}\)\(\displaystyle{8\ 457 = \left(8\times 10\ 000\right) +\left(4\times 1\ 000\right) + \left(5\times 100\right) +\left(7\times 10\right)}\)\(\displaystyle{8\ 457 = \left(7\times 1\ 000\right) +\left(5\times 100\right) + \left(4\times 10\right) +\left(8\times 1\right)}\)
\(\displaystyle{8\ 457 = \left(8\times 1\ 000\right) +\left(4\times 100\right) + \left(5\times 10\right) +\left(7\times 1\right)}\)
\(\displaystyle{8\ 457 = \left(8\times 100\right) +\left(4\times 10\right) + \left(5\times 1\right) +\left(7\times 0,1\right)}\)
\(\displaystyle{8\ 457 = \left(8\times 10\ 000\right) +\left(4\times 1\ 000\right) + \left(5\times 100\right) +\left(7\times 10\right)}\)
\(\displaystyle{8\ 457 = \left(7\times 1\ 000\right) +\left(5\times 100\right) + \left(4\times 10\right) +\left(8\times 1\right)}\)
3782 \(\displaystyle{3\ 782 = \left(3\times 1\ 000\right) +\left(7\times 100\right) + \left(8\times 10\right) +\left(2\times 1\right)}\)\(\displaystyle{3\ 782 = \left(3\times 10\ 000\right) +\left(7\times 100\right) + \left(8\times 1\right) +\left(2\times 1\ 000\right)}\)\(\displaystyle{3\ 782 = \left(2\times 1\ 000\right) +\left(8\times 100\right) + \left(7\times 1\right) +\left(3\times 1\ 000\right)}\)\(\displaystyle{3\ 782 = \left(2\times 10\ 000\right) +\left(8\times 1\ 000\right) + \left(7\times 100\right) +\left(3\times 10\right)}\)
3782 \(\displaystyle{3\ 782 = \left(3\times 1\ 000\right) +\left(7\times 100\right) + \left(8\times 10\right) +\left(2\times 1\right)}\)\(\displaystyle{3\ 782 = \left(3\times 10\ 000\right) +\left(7\times 100\right) + \left(8\times 1\right) +\left(2\times 1\ 000\right)}\)\(\displaystyle{3\ 782 = \left(2\times 1\ 000\right) +\left(8\times 100\right) + \left(7\times 1\right) +\left(3\times 1\ 000\right)}\)\(\displaystyle{3\ 782 = \left(2\times 10\ 000\right) +\left(8\times 1\ 000\right) + \left(7\times 100\right) +\left(3\times 10\right)}\)
\(\displaystyle{3\ 782 = \left(3\times 1\ 000\right) +\left(7\times 100\right) + \left(8\times 10\right) +\left(2\times 1\right)}\)
\(\displaystyle{3\ 782 = \left(3\times 10\ 000\right) +\left(7\times 100\right) + \left(8\times 1\right) +\left(2\times 1\ 000\right)}\)
\(\displaystyle{3\ 782 = \left(2\times 1\ 000\right) +\left(8\times 100\right) + \left(7\times 1\right) +\left(3\times 1\ 000\right)}\)
\(\displaystyle{3\ 782 = \left(2\times 10\ 000\right) +\left(8\times 1\ 000\right) + \left(7\times 100\right) +\left(3\times 10\right)}\)
9966 \(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(6\times 1\right)}\)\(\displaystyle{9\ 966 = \left(9\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) +\left(6\times 10\right)}\)\(\displaystyle{9\ 966 = \left(6\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(9\times 1\right)}\)\(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(6\times 100\right) + \left(9\times 10\right) +\left(6\times 1\right)}\)
9966 \(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(6\times 1\right)}\)\(\displaystyle{9\ 966 = \left(9\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) +\left(6\times 10\right)}\)\(\displaystyle{9\ 966 = \left(6\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(9\times 1\right)}\)\(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(6\times 100\right) + \left(9\times 10\right) +\left(6\times 1\right)}\)
\(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(6\times 1\right)}\)
\(\displaystyle{9\ 966 = \left(9\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) +\left(6\times 10\right)}\)
\(\displaystyle{9\ 966 = \left(6\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) +\left(9\times 1\right)}\)
\(\displaystyle{9\ 966 = \left(9\times 1\ 000\right) +\left(6\times 100\right) + \left(9\times 10\right) +\left(6\times 1\right)}\)
2960 \(\displaystyle{2\ 960 = \left(2\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) }\)\(\displaystyle{2\ 960 = \left(2\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) }\)\(\displaystyle{2\ 960 = \left(2\times 100\right) +\left(9\times 10\right) + \left(6\times 1\right) }\)\(\displaystyle{2\ 960 = \left(2\times 10\right) +\left(9\times 1\right) + \left(6\times 0\right) }\)
2960 \(\displaystyle{2\ 960 = \left(2\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) }\)\(\displaystyle{2\ 960 = \left(2\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) }\)\(\displaystyle{2\ 960 = \left(2\times 100\right) +\left(9\times 10\right) + \left(6\times 1\right) }\)\(\displaystyle{2\ 960 = \left(2\times 10\right) +\left(9\times 1\right) + \left(6\times 0\right) }\)
\(\displaystyle{2\ 960 = \left(2\times 1\ 000\right) +\left(9\times 100\right) + \left(6\times 10\right) }\)
\(\displaystyle{2\ 960 = \left(2\times 10\ 000\right) +\left(9\times 1\ 000\right) + \left(6\times 100\right) }\)
\(\displaystyle{2\ 960 = \left(2\times 100\right) +\left(9\times 10\right) + \left(6\times 1\right) }\)
\(\displaystyle{2\ 960 = \left(2\times 10\right) +\left(9\times 1\right) + \left(6\times 0\right) }\)
7063 \(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 1\right)}\)\(\displaystyle{7\ 063 = \left(7\times 10\ 000\right) + \left(6\times 100\right) +\left(3\times 10\right)}\)\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 100\right) +\left(3\times 1\right)}\)\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 10\right)}\)
7063 \(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 1\right)}\)\(\displaystyle{7\ 063 = \left(7\times 10\ 000\right) + \left(6\times 100\right) +\left(3\times 10\right)}\)\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 100\right) +\left(3\times 1\right)}\)\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 10\right)}\)
\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 1\right)}\)
\(\displaystyle{7\ 063 = \left(7\times 10\ 000\right) + \left(6\times 100\right) +\left(3\times 10\right)}\)
\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 100\right) +\left(3\times 1\right)}\)
\(\displaystyle{7\ 063 = \left(7\times 1\ 000\right) + \left(6\times 10\right) +\left(3\times 10\right)}\)
994 \(\displaystyle{994 = \left(9\times 100\right) + \left(9\times 10\right) +\left(4\times 1\right)}\)\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 1\right)}\)\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 10\right)}\)\(\displaystyle{994 = \left(9\times 100\right) + \left(9\times 1\right) +\left(4\times 0\right)}\)
994 \(\displaystyle{994 = \left(9\times 100\right) + \left(9\times 10\right) +\left(4\times 1\right)}\)\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 1\right)}\)\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 10\right)}\)\(\displaystyle{994 = \left(9\times 100\right) + \left(9\times 1\right) +\left(4\times 0\right)}\)
\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 1\right)}\)
\(\displaystyle{994 = \left(9\times 1\ 000\right) + \left(9\times 100\right) +\left(4\times 10\right)}\)
584 \(\displaystyle{584 = \left(5\times 100\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)\(\displaystyle{584 = \left(5\times 100\right) + \left(8\times 1\right) +\left(4\times 0\right)}\)\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 100\right) +\left(4\times 1\right)}\)\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)
584 \(\displaystyle{584 = \left(5\times 100\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)\(\displaystyle{584 = \left(5\times 100\right) + \left(8\times 1\right) +\left(4\times 0\right)}\)\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 100\right) +\left(4\times 1\right)}\)\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)
\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 100\right) +\left(4\times 1\right)}\)
\(\displaystyle{584 = \left(5\times 1\ 000\right) + \left(8\times 10\right) +\left(4\times 1\right)}\)
