Standard Form

1. Standard Form What does 43 mean? = 4.3 x 10 What does 430 mean? = 4.3 x 100 = 4.3 x 10 x 10 What does 4300 mean? = 4.3 x 1000 = 4.3 x 10 x 10x 10 What does 43000 mean? = 4.3 x 10000 = 4.3 x 10 x 10x 10 x 10

2. Standard Form How do we write this? 10 x 10 means 102 so we would write 430 as 4.3 x 102 In general, we write standard form as a x 10n where ‘a’ is a real number 1 a 10 and ‘n’ is an integer What does 43000 mean? = 4.3 x 10000 = 4.3 x 10 x 10 x 10 x 10 = 4.3 x 104

3. Standard Form Example 2 Write the 860 in standard form. = 8.6 x 102 Example 3 Write 5675456700000000 in standard form = 5.67554567 x 1015

4. Write the following in standard form. • 430 b) 6900 c) 6940 d) 83240 e)474000 • f) 83400000 g) 1243200 h)867 i)126000 • j) 10404040000 k) 800460 l) 9243200 • m) 83240000 n) 1000000 o) 8360000 • p) 12500000 q) 857004000000 r) 79432 • s) 46 t) 874000000000 u) 12300 v) 942000000 • w) 879000000000000000 x) 48888000000000000