Add and Subtract in Scientific Notation, Mixed

Teach addition and subtraction before multiplication and division, since the exponent steps differ. Use the matching sheets for self checking and save the find the error sheet for review.

Add and subtract mixed positive and negative powers, from 5.6 × 10⁴ + 3.9 × 10⁴ to 8.2 × 10⁻³ − 4.7 × 10⁻⁴. The directions on the page read: If the powers of 10 differ, rewrite one number so they match. Add or subtract the first factors, then write the answer in scientific notation. An answer key is included.

Yes, both. We made it for 8th grade scientific notation, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Rewrite the number with the smaller power of 10 so both powers match, then subtract the first factors. If the first factor drops below 1, move the decimal point right and subtract 1 from the exponent, as on Subtract When the Coefficient Drops Below One.

No. You add exponents only when you multiply. When you add, the powers of 10 must already match and stay the same. Find the Error in Scientific Notation Operations shows this mistake for students to correct.

A calculator shows a very large or very small number with an E, and the number after the E is the exponent on the power of 10. Read Scientific Notation on a Calculator Display matches each display to its scientific notation and standard form.

No. The word problem sheets say that all numbers are sample data. They give realistic contexts, such as cell sizes and distances, so students practice dividing to tell how many times larger one value is.