Grade 7 Multiplying Rational Numbers
Multiplying signed rational numbers in grade 7 — like signs positive, unlike signs negative, with decimals and mixed numbers. Twenty problems.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Multiply. Two like signs give a positive product; two unlike signs give a negative product.
- 1.-7 × 18 =
- 2.8.8 × 8.1 =
- 3.-4/5 × (-1 1/4) =
- 4.19 × (-5) =
- 5.-2 1/2 × (-1 1/3) =
- 6.-3 × 2 =
- 7.0.6 × 6.9 =
- 8.-1 5/6 × (-1/3) =
- 9.-7 × (-17) =
- 10.-4.8 × (-9.4) =
- 11.-1 3/5 × (-2/3) =
- 12.-3 × (-3) =
- 13.-4.6 × 7.2 =
- 14.-1/12 × (-2 1/3) =
- 15.3 × (-7) =
- 16.1 4/5 × (-1 1/4) =
- 17.-4 × (-1) =
- 18.5.3 × (-1.3) =
- 19.-2 3/5 × 1 1/6 =
- 20.-2.2 × 4.3 =
What this worksheet covers
This is a 20-problem drill for grade 7 decimals, printed in black and white with the key on page two. What makes this set particular: eighteen of the twenty problems involve a negative quantity and several problems use mixed numbers, which have to be handled without dropping the whole-number part. Problems 7 and 14, for instance, are "0.6 × 6.9" and "-1/12 × (-2 1/3)". Common Core 7.NS.2 is the slot this page fills.
Skills practised
Grade 7 decimals means adding, subtracting, multiplying and dividing signed decimals, and repeating decimals. What a student is asked to do here is grade 7 Multiplying Rational Numbers. To finish it, a student has to work in fractional units and give the answer in lowest terms, keep the decimal points aligned, and track direction as well as magnitude.
About the drill format
A drill is straight practice: 20 problems of the same kind, laid out across the page with working space under each — problem 7, "0.6 × 6.9" is typical of the whole page. A run of one decimal operation is where point alignment stops being a decision and becomes a habit.
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 11 is "-1 3/5 × (-2/3)", Set B's is "-9 3/5 × (-2/3)".
How to use this worksheet
Expect twenty minutes or so of real attention for twenty problems. At grade 7, decimals rewards care over speed — a rushed drill gets the arithmetic right and the signs or units wrong. Use the key as a check, not as a grade; none of the twenty problems needs a score attached to be useful.
One mistake to watch for
Decimals are aligned to the right: 3.5 + 0.42 = 3.92. On this grade 7 drill, problem 14 ("-1/12 × (-2 1/3)") is the kind of item where it shows.
The right-alignment habit from whole numbers is being applied to a notation where the point, not the right edge, fixes the value.
Write in the placeholder zero (3.50) before adding; aligning the points then aligns everything else.
Other grade 7 decimals formats
The same skill in the other formats available at this grade.
- Timed Drill — Grade 7 Decimals Timed Drill, 60 problems
- Missing Number — Grade 7 Decimals Missing Number, 24 problems
- Mixed Review — Grade 7 Dividing Rational Numbers, 20 problems
- Word Problems — Grade 7 Decimals 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 6 Adding Multi-Digit Decimals — grade 6, 16 problems
Drill sheets in other grade 7 topics
Print as many copies of this grade 7 decimals drill as you need; Sets A, B and C and their keys are six separate PDFs, all free.