8.EE.3 — Scientific Notation Division Practice
Practice dividing numbers written in scientific notation to estimate very large or very small quantities and determine how many times as much one quantity is than another.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Divide each expression and write your answer in scientific notation.
- 1.(8.0 x 10^6) ÷ (4.0 x 10^2) =
- 2.(9.0 x 10^8) ÷ (3.0 x 10^3) =
- 3.(6.0 x 10^5) ÷ (2.0 x 10^2) =
- 4.(4.0 x 10^9) ÷ (8.0 x 10^4) =
- 5.(7.0 x 10^7) ÷ (7.0 x 10^3) =
- 6.(5.0 x 10^6) ÷ (2.0 x 10^3) =
- 7.(3.0 x 10^8) ÷ (6.0 x 10^5) =
- 8.(9.0 x 10^-3) ÷ (3.0 x 10^2) =
- 9.(8.0 x 10^-4) ÷ (4.0 x 10^-1) =
- 10.(6.0 x 10^-6) ÷ (2.0 x 10^-2) =
- 11.(1.2 x 10^9) ÷ (4.0 x 10^3) =
- 12.(2.4 x 10^7) ÷ (8.0 x 10^4) =
- 13.(4.5 x 10^8) ÷ (9.0 x 10^5) =
- 14.(3.6 x 10^6) ÷ (6.0 x 10^2) =
- 15.(7.2 x 10^5) ÷ (8.0 x 10^2) =
- 16.(1.5 x 10^9) ÷ (5.0 x 10^4) =
- 17.(2.8 x 10^8) ÷ (7.0 x 10^3) =
- 18.(5.4 x 10^-5) ÷ (9.0 x 10^-2) =
- 19.(6.3 x 10^7) ÷ (9.0 x 10^4) =
- 20.(4.8 x 10^10) ÷ (6.0 x 10^5) =
- 21.(3.5 x 10^6) ÷ (7.0 x 10^9) =
- 22.(1.6 x 10^-3) ÷ (4.0 x 10^2) =
What this worksheet covers
This is a 22-problem timed drill for grade 8 expressions and equations, printed in black and white with the key on page two. Within that, the expressions carry exponents, so the order of operations decides the answer and some operands are decimals rather than whole numbers. Problems 8 and 15, for instance, are "(9.0 x 10^-3) ÷ (3.0 x 10^2)" and "(7.2 x 10^5) ÷ (8.0 x 10^2)". The sheet sits inside Common Core 8.EE.3, in the grade 8 Expressions & Equations strand.
Skills practised
At grade 8, expressions and equations is about multi-step linear equations, operations in scientific notation and integer exponent rules, and this sheet takes one slice of that. The skill on the page: scientific Notation Division Practice. To finish it, a student has to keep the decimal points aligned and apply the order of operations to powers. Twenty different answers appear across the 22 problems, so a student cannot copy one result down the page.
About the timed drill format
The timer box at the top has room for minutes, seconds and a score out of 22; a realistic target for a page like this, where problem 8, "(9.0 x 10^-3) ÷ (3.0 x 10^2)" is a typical item, is two to three minutes. Evaluating expressions and one-step equations quickly is the fluency multi-step algebra rests on.
Set A, Set B and Set C
Set A is the sheet as it was first published on MathSheetLab, and Sets B and C were derived from it problem by problem: each number became a slot redrawn with the same shape, and every answer was recomputed exactly. Where Set A's problem 12 is "(2.4 x 10^7) ÷ (8.0 x 10^4)", Set B's is "(0.7 x 10^6) ÷ (1.4 x 10^6)".
How to use this worksheet
Have the student estimate before computing, then compare. At grade 8 an expressions and equations answer that is wildly off should announce itself, and building that reflex matters as much as the 22 answers. Mark the 22 problems the same day using the key — an error caught immediately is a correction, and one caught next week is a habit.
Other grade 8 expressions and equations formats
The same skill in the other formats available at this grade.
- Drill — Grade 8 Adding Numbers in Scientific Notation, 16 problems
- Missing Number — Grade 8 Expressions & Equations Missing Number, 24 problems
- Mixed Review — Grade 8 Subtracting Numbers in Scientific Notation, 16 problems
- Word Problems — Grade 8 Word Problems: Writing and Solving Linear Equations, 14 problems
A step either side
The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.
- Grade 7 Expressions & Equations Timed Drill — grade 7, 60 problems
Timed Drill sheets in other grade 8 topics
Print as many copies of this grade 8 expressions and equations timed drill as you need; Sets A, B and C and their keys are six separate PDFs, all free.