Standard form

Question 1

Non-calculator multiplying

1) What are the steps?
2) Solve:

(3 x 10³) x (5 x 10⁶)

Answer 1

1) 1: rearrange so powers of 10 are together
2: multiply the number parts
3: add the powers
4: rewrite in standard form

2) = (3 x 5) x (10³ x 10⁶) = 15 x 10⁹ = 1.5 x 10¹⁰

Question 2

Non calculator dividing

1) What are the steps?
2) Solve:
1. 2 x 10⁸) / (2 x 10⁴

Answer 2

1) 1: rearrange so powers of 10 are together
2: divide the number parts
3: subtract the powers
4: rewrite in standard form

2) = (1.2 / 2) x (10⁸ / 10⁴) = 0.6 x 10⁴ = 6 x 10³

Question 3

adding/subtracting

Answer 3

1) make sure the powers of 10 are the same, rewrite one if needed
2) add or subtract the front numbers
3) leave the power of 10 the same and add it to the front number
4) convert back to standard form if needed