Exponent Rules
When multiplying powers of 10, what do you do with the exponents?
Add
(2 × 10³)(3 × 10⁴)
6 × 10⁷
(8 × 10⁶) ÷ (2 × 10²)
4 x 104
Rewrite 0.5 × 10⁶ correctly
5 x 105
Problem #1
8 x 105
When dividing powers of 10, what do you do with the exponents?
Subtract
(4 × 10⁵)(2 × 10²)
8 × 10⁷
(9 × 10⁷) ÷ (3 × 10³)
3 x 104
Rewrite 12 × 10⁴ correctly
1.2 x 105
Problem #2
5 x 106
What must be true about a coefficient in proper scientific notation?
Must be greater than 1 but less than 10
(2.5 × 10⁴)(4 × 10³)
10 × 107
(3 × 10⁵) ÷ (6 × 10²)
5 × 10²
Rewrite 0.25 × 10⁸ correctly
2.5 x 107
Problem #3
6 x 104
What is (5 - (-2))?
7
(6 × 10-2)(4 × 10⁵)
2.4 × 10⁴
(8 × 10⁴) ÷ (2 × 10-2)
4 x 106
Rewrite 25 × 10-3 correctly
2.5 × 10⁻²
Problem #4
1.5 x 103
What is (-3 - (-6))?
3
(1.5 × 10-3)(4 × 10⁶)
6 × 10³
(6.4 × 10-1) ÷ (2 × 10-4)
3.2 x 103
Rewrite 0.075 × 10⁶ correctly
7.5 x 104
Problem #5
2.4 x 104