Powers of 10

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Power of 10 From place value of numbers, we know that We write the number as 2486 = 2 × 1000 + 4 × 100 + 8 × 10 + 6 × 1 = 2 × 〖𝟏𝟎〗^𝟑 + 4 × 〖𝟏𝟎〗^𝟐 + 8 × 〖𝟏𝟎〗^𝟏 + 6 × 〖𝟏𝟎〗^𝟎 So, we can write any number as power of 10 For number 98276 We write the number as 98276 = 9 × 10,000 + 8 × 1,000 + 2 × 100 + 7 × 10 + 6 × 1 = 9 × 〖𝟏𝟎〗^𝟒 + 8 × 〖𝟏𝟎〗^𝟑 + 2 × 〖𝟏𝟎〗^𝟐 + 7 × 〖𝟏𝟎〗^𝟏 + 6 × 〖𝟏𝟎〗^𝟎 For number 28 We write the number as 28 = 2 × 10 + 8 × 1 = 2 × 〖𝟏𝟎〗^𝟏 + 8 × 〖𝟏𝟎〗^𝟎 For decimal number, 849.58 In place value table So, we write the number as 849.58 = 8 × 100 + 4 × 10 + 9 × 1 + 5 × 1/10 + 8 × 1/100 = 8 × 10^2 + 4 × 10^1 + 9 × 10^0 + 5 × 1/10^1 + 8 × 1/10^2 = 8 × 〖𝟏𝟎〗^𝟐 + 4 × 〖𝟏𝟎〗^𝟏 + 9 × 〖𝟏𝟎〗^𝟎 + 5 × 〖𝟏𝟎〗^(−𝟏) + 8 × 〖𝟏𝟎〗^(−𝟐) For decimal number, 29.0008 We write the number as; 29.0008 = 2 × 10 + 9 × 1 + 0 × 1/10 + 0 × 1/100 + 0 × 1/1000 + 8 × 1/10000 = 2 × 10^1 + 9 × 10^0 + 0 × 10^(−1) + 0 × 10^(−2) + 0 × 10^(−3) + 8 × 10^(−4) = 2 × 〖𝟏𝟎〗^𝟏 + 9 × 〖𝟏𝟎〗^𝟎 + 8 × 〖𝟏𝟎〗^(−𝟒)