Operations with scientific notation worksheet for Pre-Algebra

Pre-Algebra uses scientific notation for very large and very small numbers, and here you work with them without going back to standard form. To multiply, multiply the front numbers and add the exponents. To divide, divide the front numbers and subtract the exponents. To add or subtract, the powers of 10 must match, so add or subtract the front numbers and keep the power. Then fix the front number if it is 10 or more or less than 1.

Also taught in Algebra 1, at its own level and with its own examples.

Not quite the one you need? Same words, different skill:

Scientific Notation (Pre-Algebra). Converting both ways, multiplying, and how many times larger.

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Sigma Prep · sigmaprep.io/worksheets Name Operations with Scientific Notation Date Period Simplify each. Write the answer in scientific notation. Multiply in scientific notation $(4 \times 10^{5}) (4 \times 10^{4})$ $(1.5 \times 10^{4}) (6 \times 10^{- 4})$ $(9 \times 10^{- 5}) (7 \times 10^{4})$ $(3.5 \times 10^{2}) (2 \times 10^{1})$ $(4.5 \times 10^{- 4}) (8 \times 10^{4})$ $(9 \times 10^{1}) (3 \times 10^{- 3})$ $(5 \times 10^{2}) (5 \times 10^{3})$ Add and subtract in scientific notation $(6.7 \times 10^{6}) + (1.4 \times 10^{6})$ $(3 \times 10^{4}) - (3.7 \times 10^{3})$ $(4.7 \times 10^{3}) + (8 \times 10^{1})$ $(9.9 \times 10^{5}) - (9.4 \times 10^{5})$ $(1 \times 10^{2}) + (8.2 \times 10^{1})$ $(3.9 \times 10^{6}) - (2 \times 10^{4})$ $(5.8 \times 10^{5}) + (9.1 \times 10^{5})$ Divide in scientific notation $\frac{7.2 \times 10^{6}}{4 \times 10^{5}}$ $\frac{2.73 \times 10^{10}}{3 \times 10^{5}}$ $\frac{1.1 \times 10^{6}}{2 \times 10^{2}}$ $\frac{6.3 \times 10^{2}}{3 \times 10^{1}}$ $\frac{1.8 \times 10^{6}}{4 \times 10^{1}}$ $\frac{9 \times 10^{6}}{3 \times 10^{1}}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Operations with Scientific Notation

Date Period

Simplify each. Write the answer in scientific notation.

Multiply in scientific notation
$(4 \times 10^{5}) (4 \times 10^{4})$
$(1.5 \times 10^{4}) (6 \times 10^{- 4})$
$(9 \times 10^{- 5}) (7 \times 10^{4})$
$(3.5 \times 10^{2}) (2 \times 10^{1})$
$(4.5 \times 10^{- 4}) (8 \times 10^{4})$
$(9 \times 10^{1}) (3 \times 10^{- 3})$
$(5 \times 10^{2}) (5 \times 10^{3})$

Add and subtract in scientific notation
$(6.7 \times 10^{6}) + (1.4 \times 10^{6})$
$(3 \times 10^{4}) - (3.7 \times 10^{3})$
$(4.7 \times 10^{3}) + (8 \times 10^{1})$
$(9.9 \times 10^{5}) - (9.4 \times 10^{5})$
$(1 \times 10^{2}) + (8.2 \times 10^{1})$
$(3.9 \times 10^{6}) - (2 \times 10^{4})$
$(5.8 \times 10^{5}) + (9.1 \times 10^{5})$

Divide in scientific notation
$\frac{7.2 \times 10^{6}}{4 \times 10^{5}}$
$\frac{2.73 \times 10^{10}}{3 \times 10^{5}}$
$\frac{1.1 \times 10^{6}}{2 \times 10^{2}}$
$\frac{6.3 \times 10^{2}}{3 \times 10^{1}}$
$\frac{1.8 \times 10^{6}}{4 \times 10^{1}}$
$\frac{9 \times 10^{6}}{3 \times 10^{1}}$



Sigma Prep · sigmaprep.io/worksheets Name Operations with Scientific NotationAnswer keyVersion 2 Date Period Simplify each. Write the answer in scientific notation. Multiply in scientific notation $(4 \times 10^{5}) (4 \times 10^{4})$ $1.6 \times 10^{10}$ $(1.5 \times 10^{4}) (6 \times 10^{- 4})$ $9 \times 10^{0}$ $(9 \times 10^{- 5}) (7 \times 10^{4})$ $6.3 \times 10^{0}$ $(3.5 \times 10^{2}) (2 \times 10^{1})$ $7 \times 10^{3}$ $(4.5 \times 10^{- 4}) (8 \times 10^{4})$ $3.6 \times 10^{1}$ $(9 \times 10^{1}) (3 \times 10^{- 3})$ $2.7 \times 10^{- 1}$ $(5 \times 10^{2}) (5 \times 10^{3})$ $2.5 \times 10^{6}$ Add and subtract in scientific notation $(6.7 \times 10^{6}) + (1.4 \times 10^{6})$ $8.1 \times 10^{6}$ $(3 \times 10^{4}) - (3.7 \times 10^{3})$ $2.63 \times 10^{4}$ $(4.7 \times 10^{3}) + (8 \times 10^{1})$ $4.78 \times 10^{3}$ $(9.9 \times 10^{5}) - (9.4 \times 10^{5})$ $5 \times 10^{4}$ $(1 \times 10^{2}) + (8.2 \times 10^{1})$ $1.82 \times 10^{2}$ $(3.9 \times 10^{6}) - (2 \times 10^{4})$ $3.88 \times 10^{6}$ $(5.8 \times 10^{5}) + (9.1 \times 10^{5})$ $1.49 \times 10^{6}$ Divide in scientific notation $\frac{7.2 \times 10^{6}}{4 \times 10^{5}}$ $1.8 \times 10^{1}$ $\frac{2.73 \times 10^{10}}{3 \times 10^{5}}$ $9.1 \times 10^{4}$ $\frac{1.1 \times 10^{6}}{2 \times 10^{2}}$ $5.5 \times 10^{3}$ $\frac{6.3 \times 10^{2}}{3 \times 10^{1}}$ $2.1 \times 10^{1}$ $\frac{1.8 \times 10^{6}}{4 \times 10^{1}}$ $4.5 \times 10^{4}$ $\frac{9 \times 10^{6}}{3 \times 10^{1}}$ $3 \times 10^{5}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Operations with Scientific NotationAnswer keyVersion 2

Date Period

Simplify each. Write the answer in scientific notation.

Multiply in scientific notation
$(4 \times 10^{5}) (4 \times 10^{4})$ $1.6 \times 10^{10}$
$(1.5 \times 10^{4}) (6 \times 10^{- 4})$ $9 \times 10^{0}$
$(9 \times 10^{- 5}) (7 \times 10^{4})$ $6.3 \times 10^{0}$
$(3.5 \times 10^{2}) (2 \times 10^{1})$ $7 \times 10^{3}$
$(4.5 \times 10^{- 4}) (8 \times 10^{4})$ $3.6 \times 10^{1}$
$(9 \times 10^{1}) (3 \times 10^{- 3})$ $2.7 \times 10^{- 1}$
$(5 \times 10^{2}) (5 \times 10^{3})$ $2.5 \times 10^{6}$

Add and subtract in scientific notation
$(6.7 \times 10^{6}) + (1.4 \times 10^{6})$ $8.1 \times 10^{6}$
$(3 \times 10^{4}) - (3.7 \times 10^{3})$ $2.63 \times 10^{4}$
$(4.7 \times 10^{3}) + (8 \times 10^{1})$ $4.78 \times 10^{3}$
$(9.9 \times 10^{5}) - (9.4 \times 10^{5})$ $5 \times 10^{4}$
$(1 \times 10^{2}) + (8.2 \times 10^{1})$ $1.82 \times 10^{2}$
$(3.9 \times 10^{6}) - (2 \times 10^{4})$ $3.88 \times 10^{6}$
$(5.8 \times 10^{5}) + (9.1 \times 10^{5})$ $1.49 \times 10^{6}$

Divide in scientific notation
$\frac{7.2 \times 10^{6}}{4 \times 10^{5}}$ $1.8 \times 10^{1}$
$\frac{2.73 \times 10^{10}}{3 \times 10^{5}}$ $9.1 \times 10^{4}$
$\frac{1.1 \times 10^{6}}{2 \times 10^{2}}$ $5.5 \times 10^{3}$
$\frac{6.3 \times 10^{2}}{3 \times 10^{1}}$ $2.1 \times 10^{1}$
$\frac{1.8 \times 10^{6}}{4 \times 10^{1}}$ $4.5 \times 10^{4}$
$\frac{9 \times 10^{6}}{3 \times 10^{1}}$ $3 \times 10^{5}$

How to do these

$(3 \times 10^{4}) (5 \times 10^{2})$

Multiply the front numbers: 3 × 5 = 15.
Add the exponents: 4 + 2 = 6.
15 is 10 or more, so move the point one place left and raise the exponent by 1.

The answer is $1.5 \times 10^{7}$ .

Where students go wrong

Leaving the front number at 10 or more. 15 × 10^6 is not scientific notation; it has to become 1.5 × 10^7.

Also called multiplying scientific notation, standard form calculations or scientific notation problems.

What you can put on this worksheet

Multiplying two numbers in scientific notation: $(6 \times 10^{3}) (7 \times 10^{- 2})$ → $4.2 \times 10^{2}$
Adding and subtracting in scientific notation: $(5.8 \times 10^{4}) - (6 \times 10^{2})$ → $5.74 \times 10^{4}$
Dividing in scientific notation: $\frac{2.32 \times 10^{6}}{4 \times 10^{1}}$ → $5.8 \times 10^{4}$
Not in proper form, negative results, far-apart powers, powers: $(7.6 \times 10^{1}) - (5 \times 10^{- 1})$ → $7.55 \times 10^{1}$

Questions about these worksheets

Yes. Every operations with scientific notation sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the operations with scientific notation questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 4: multiplying two numbers in scientific notation, adding and subtracting in scientific notation, dividing in scientific notation and not in proper form, negative results, far-apart powers, powers. Tick as many as you want and set how many of each, or let it spread them evenly.

Leaving the front number outside 1 to 10. Fifteen times ten to the sixth is the right value written the wrong way, and on a test that is usually a lost mark.

Operations with scientific notation worksheet for Pre-Algebra

Select your difficulty

Multiply in scientific notation

Add and subtract in scientific notation

Divide in scientific notation

Multiply in scientific notation

Add and subtract in scientific notation

Divide in scientific notation

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

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