Scientific notationMultiplying
Name: Date:
Multiply. Write each answer in scientific notation.
1(3 × 10−5) × (8 × 103)
2(6 × 104) × (2.5 × 102)
3(8 × 10−4) × (1.5 × 103)
4(4 × 103) × (1.5 × 104)
5(3 × 106) × (2 × 10−3)
6(3 × 106) × (3 × 10−5)
Multiplying in scientific notation worksheets
Multiply the coefficients, add the powers — then check the answer is still in scientific notation. These free printable worksheets stay on multiplying, so the two moves and the check are clear.
If they get stuck
Multiplying in scientific notation
The answer key prints on a separate page.
What's on this sheet
Multiplying two numbers in scientific notation is two moves that do not interfere: multiply the coefficients, and add the exponents. A child who does both gets a true statement about two-thirds of the time — and the other third is true and is still not an answer, because the coefficient has drifted out of range.
Why this sheet works
5 × 10³ times 4 × 10² is 20 × 10⁵. That is exactly the right quantity, and it is not in scientific notation, because the coefficient has to sit at 1 or above and below 10. The answer is 2 × 10⁶. So every walk here runs the check as a step of its own, even on the questions that pass it.
How this one works
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Multiplying in scientific notation, step by step