Suppose we have two numbers
59760000 & 528000000
How do we compare them?
Comparing them becomes difficult when the number are large.
So, we write both number in standard form
So, our two numbers are
5.976 × 10 7
5.28 × 10 8
Higher Power
So,
5.28 × 10 8 > 5.976 × 10 7
Here,
Standard form is
So, in standard form
- We write number as power of 10
- There is only 1 digit before decimal point
Let’s take some more examples
28488 in standard form
28488
= 2.8488 × 10 4
8680 in standard form
8680 = 868 × 10 1
= 8.68 × 10 2 × 10 1
Usinga m × a n = a m + n
= 8.68 × 10 2 + 1
= 8.68 × 10 3
92058 in standard form
92058
= 9.2058 × 10 4
35.89 in standard form
35.89
= 3589/100
= 3589 × 1/100
= 3589 × 1/10 2
= (3.589 × 10 3 ) × 1/10 2
= 3.589 × 10 3 /10 2
= 3.589 × 10 3 - 2
= 3.589 × 10 1 (Using a m /a n = a m - n )
Write 2.008 in standard form
2.008
= 2.008 × 10 0
Write 0.00008 in standard form
0.00008
= 8/100000
= 8/10 5
= 8 × 10 -5
Write 0.0092 in standard form
0.0092
= 92/10000
= 92 × 1/10000
= 9.2 × 10 × 1/10000
= 9.2 × 1/1000
= 9.2 × 1/10 3
= 9.2 × 10 -3