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 practiced
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 original sheet; Sets B and C redraw each problem with the same shape and recomputed answers. 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
The decimal point in a product is placed by lining up the points. On this grade 7 drill, problem 7 ("0.6 × 6.9") is the kind of item where it shows.
The addition rule is being reused for multiplication, where it does not apply.
Count decimal places in both factors and give the product that many; estimate first so a wildly wrong placement stands out.
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.