Grade 8 Integers Missing Number
Grade 8 integers missing number sheet: 24 problems on product, quotient and power rules, multiplying and dividing integers, adding and subtracting integers.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Find the number that belongs in each blank.
- 1.3^6 × 3^___ = 3^8
- 2.___ - (-9) = -3
- 3.___ - 2 = -18
- 4.3^3 × 3^___ = 3^7
- 5.-6 + ___ = -9
- 6.-27 + ___ = -30
- 7.5^4 × 5^___ = 5^6
- 8.-3 + ___ = -6
- 9.-12 + ___ = -30
- 10.10^3 × 10^___ = 10^4
- 11.-6 × ___ = -60
- 12.1 + ___ = -25
- 13.10^4 × 10^___ = 10^6
- 14.-11 + ___ = -22
- 15.-19 + ___ = -10
- 16.3^6 × 3^___ = 3^7
- 17.-10 × ___ = 110
- 18.-10 × ___ = 60
- 19.2^6 × 2^___ = 2^8
- 20.-3 + ___ = -5
- 21.12 × ___ = 120
- 22.5^5 × 5^___ = 5^9
- 23.7 + ___ = 4
- 24.___ - (-10) = 29
What this worksheet covers
24 integers problems fill this missing number page; problem 9 asks "-12 + ___ = -30", and the sheet stays at that level throughout. Within that, fifteen of the 24 problems involve a negative quantity and the expressions carry exponents, so the order of operations decides the answer. Further down, problem 17 asks "-10 × ___ = 110". The sheet sits inside Common Core 8.EE.1, in the grade 8 Expressions & Equations strand.
Skills practised
At grade 8, integers is about integer exponents, the product, quotient and power rules, negative exponents and scientific notation, and this sheet takes one slice of that. What a student is asked to do here is product, quotient and power rules, multiplying and dividing integers, and adding and subtracting integers. Working the page asks a student to track direction as well as magnitude, apply the order of operations to powers, and reason backwards from a result to a missing part. Fourteen different answers appear across the 24 problems, so a student cannot copy one result down the page.
About the missing number format
The 24 problems here move the unknown around, so a student solves for a missing part as often as for a result; problem 9, "-12 + ___ = -30" is one of them. A missing addend or factor with a sign is the sharpest test of whether the rules are understood rather than pattern-matched.
Set A, Set B and Set C
The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 13 is "10^4 × 10^___ = 10^6", Set B's is "5^5 × 5^___ = 5^9".
How to use this worksheet
Work it without a calculator. Every one of the 24 integers problems is designed to be done by hand, and reaching for a calculator at grade 8 skips exactly the reasoning being built. If more than a third of the 24 problems come back wrong, stop and step back a grade in integers rather than assigning Set B.
One mistake to watch for
Adding a negative is treated as an error: -8 + 3 is answered 11 or -11. Problem 17 on this grade 8 missing number page, "-10 × ___ = 110", is where to look for it.
The rule "addition makes things bigger" held for seven years and is being defended.
Work on a number line only, with no rules, until direction is automatic; introduce the sign shortcuts afterward.
Other grade 8 integers formats
The same skill in the other formats available at this grade.
- Drill — 8.EE.1 — Integer Exponents: Mixed Operations Practice, 22 problems
- Timed Drill — Grade 8 Multiplying Numbers in Scientific Notation, 16 problems
- Mixed Review — Grade 8 Repeating Decimals as Fractions, 16 problems
- Word Problems — Grade 8 Integers Word Problems, 10 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 Integers Missing Number — grade 7, 24 problems
Missing Number sheets in other grade 8 topics
Six PDFs, no sign-up: three versions of this grade 8 integers missing number and three answer keys, each 24 problems long.