Standard form - EdexcelConverting into standard form and ordinary numbers

\(10^0 = 1\)

\(10^1= 10\)

\(10^2= 100\)

\(10^3= 1000\)

\(10^4= 10000\)

\(10^5= 100000\)

\(10^6 = 1000000\)

50,000 can be written as: \(5 \times 10,000\)

\(10,000 = 10 \times 10 \times 10 \times 10 = 10^4\)

So, \(50,000 = 5 \times 10^4\)

\(34 \times 10^7\) is not in standard form as the first number is not between 1 and 10. To correct this, divide 34 by 10. To balance out the division of 10, multiply the second part by 10, which gives 10⁸.

\(34 \times 10^7\) and \(3.4 \times 10^8\) are identical but only the second is written in standard form.

87,000 can be written as \(8.7 \times 10,000\).

\(10,000 = 10 \times 10 \times 10 \times 10 = 10^4\)

So, \(87,000 = 8.7 \times 10^4\).

3,000,000 = \(3 \times 10^6\) because the 3 is 6 places away from the units column.

36,000 = \(3.6 \times 10^4\) because the 3 is 4 places away from the units column.