Grade 7 Dividing Rational Numbers
Dividing signed rational numbers in grade 7: integers, decimals and mixed numbers with the sign rules in play. Twenty problems plus a full key.
Divide. Watch the signs, and write each answer in simplest form.
- 1.27 ÷ (-9) =
- 2.25.42 ÷ (-6.2) =
- 3.-1 1/3 ÷ (-2 2/3) =
- 4.120 ÷ (-12) =
- 5.9.28 ÷ 1.6 =
- 6.-1 1/2 ÷ (-2 7/8) =
- 7.18 ÷ 2 =
- 8.-24.6 ÷ 4.1 =
- 9.1 7/8 ÷ (-1/2) =
- 10.200 ÷ (-20) =
- 11.-2 1/4 ÷ 11/12 =
- 12.-30 ÷ 5 =
- 13.-23.22 ÷ (-8.6) =
- 14.1 3/8 ÷ 1/2 =
- 15.-16 ÷ (-4) =
- 16.39.27 ÷ 5.1 =
- 17.1 2/3 ÷ (-1 1/8) =
- 18.12 ÷ (-1) =
- 19.37.41 ÷ (-8.7) =
- 20.-1/2 ÷ (-3/5) =
What this worksheet covers
There are twenty division problems here, on one printable page, with the worked answer key on the second. Sixteen of the twenty problems involve a negative quantity, so the answer is not always larger than what went in; several problems use mixed numbers, which have to be handled without dropping the whole-number part. The whole sheet sits inside Common Core 7.NS.2, in the grade 7 The Number System strand.
Skills practiced
Grade 7 sits in the stretch of the division progression concerned with signed rational numbers, unit rates, and orders of magnitude. Working the page asks a student to work in fractional units and simplify the result, keep decimal points aligned rather than right-aligning digits out of habit, and track direction as well as magnitude. The sheet is doing its job when the student can work it without hesitating.
How to use this worksheet
Have the student estimate before computing, then compare. At this level an answer that is wildly off should announce itself, and building that reflex matters as much as the twenty answers themselves. If more than a third of the page comes back wrong, stop and go back a step rather than assigning another sheet like it.
One mistake to watch for
The dividend and divisor are reversed: 3 ÷ 12 is computed as 12 ÷ 3.
Division is assumed to always take the larger number first, an assumption that held for every problem the student has seen.
Read the expression aloud in the order written and attach a story. Word problems where the answer is genuinely less than one make the difference impossible to ignore.
Related worksheets
Also aligned to 7.NS.2
Different problem sets against the same standard — useful when one page was not enough, or when a student needs the same skill approached from another topic.
- Grade 7 Multiplying Rational Numbers — grade 7, 20 problems
A step either side
Division either side of grade 7, for stepping the difficulty rather than repeating it.
- Grade 6 Long Division with Two-Digit Divisors — grade 6, 16 problems
- 8.EE.3 — Scientific Notation Division Practice — grade 8, 22 problems
One PDF, twenty problems, and a full key: this is grade 7 division practice for signed rational numbers, unit rates, and orders of magnitude, free for home and classroom use.