The temperature is -6.9°C. It changes by 6°C. What is the new temperature?
Write a signed equation first; keep the unit attached to the result.
7.NS.A.1–A.3 · Grade 7 · exact rational arithmetic
7th Grade Rational Numbers Worksheets
Move beyond separate integer, fraction, and decimal drills. Generate one coherent Grade 7 number-system progression: signed addition and subtraction, horizontal or vertical number-line models, multiplication and division, terminating versus repeating decimals, operation properties, mixed review, and real-world rational-number problems.
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Grade 7 Rational Numbers Review
Mixed Grade 7 7.NS review · Grade 7 standard · Seed 271701
1.
2.
The temperature is 3.4°C. It changes by -0.9°C. What is the new temperature?
Write a signed equation first; keep the unit attached to the result.
3.
Evaluate (16/5 - 1.2) ÷ 1 2/3. Follow the order of operations and give an exact simplified answer.
Exact result: ____________________
4.
Rewrite subtraction as addition of the additive inverse, then solve: 5/3 - (-1).
Rewrite with the named strategy, then evaluate exactly.
5.
A diver is at -5 1/2 meters relative to sea level. The diver's elevation changes by 1 3/4 meters. What is the new elevation?
Write a signed equation first; keep the unit attached to the result.
6.
Use commutative and associative properties to evaluate (1/2 × (-1)) × 2 by pairing reciprocals.
Rewrite with the named strategy, then evaluate exactly.
7.
Model and solve -1 3/4 + 1 on the vertical number line. Start at the first value and show the signed movement.
The filled point is the starting value. Draw the signed movement and endpoint; reveal answers only when checking work.
8.
Use the distributive property to expand and evaluate -2(-4/3 + (-2/3)).
Rewrite with the named strategy, then evaluate exactly.
9.
An account balance is $8.60. A transaction changes the balance by $39.95. What is the new balance?
Write a signed equation first; keep the unit attached to the result.
10.
Compute 2 1/3 + (-5 1/2). Give an exact simplified answer.
Exact result: ____________________
Exact-construction rule: operations use normalized integer numerator/denominator pairs, number-line positions use exact ticks, repeating decimals come from remainder cycles, and money contexts use exact cents. No answer depends on binary floating-point rounding.
Focused Grade 7 practice
Open one rational-number skill directly
Add & subtract rational numbers →
Generate Grade 7 add-and-subtract rational-number worksheets mixing signed fractions, decimals, and mixed numbers with exact answers and Letter/A4 PDFs.
7.NS.A.1a–d
Rational numbers on number lines →Create Grade 7 rational-number number-line worksheets for signed addition and subtraction on horizontal or vertical lines, with exact fractions and answer keys.
7.NS.A.1b · 7.NS.A.1c
Multiply & divide rational numbers →Generate Grade 7 multiply-and-divide rational-number worksheets with signed fractions, decimals, mixed numbers, exact quotients, fresh seeds, PDFs, and keys.
7.NS.A.2a · 7.NS.A.2b · 7.NS.A.2c
Rational numbers as decimals →Generate Grade 7 fraction-to-decimal worksheets that distinguish terminating and repeating decimals using exact long-division logic, fresh seeds, PDFs, and keys.
7.NS.A.2d
Properties with rational numbers →Create Grade 7 rational-number property worksheets using additive inverses, reciprocals, associative/commutative regrouping, and distributive strategies with exact keys.
7.NS.A.1d · 7.NS.A.2c
Mixed rational-number operations →Generate Grade 7 mixed rational-number operation worksheets with signed fractions, decimals, mixed numbers, parentheses, order of operations, exact answers, and PDFs.
7.NS.A.1 · 7.NS.A.2
Rational-number word problems →Generate Grade 7 rational-number word problems for temperature, elevation, balances, signed rates, equal changes, and multistep quantities with exact PDF keys.
7.NS.A.3
Coverage map
How this library covers the Grade 7 Number System
7.NS.A.1 — addition & subtraction
Signed rational-number sums and differences, additive inverses, horizontal/vertical number-line movement, and operation properties.
7.NS.A.2 — multiplication & division
Signed products and quotients, reciprocal reasoning, operation properties, and exact terminating/repeating decimal expansions.
7.NS.A.3 — applications
Real-world and mathematical problems involving the four operations with positive and negative rational numbers.
Browse the current 7.RP, 7.NS, 7.EE, and 7.G Grade 7 worksheet library from one hub.
Fraction foundations →Review fraction operations, mixed numbers, visual models, comparison, and number lines before adding signed values.
Decimal foundations →Review decimal operations and place-value control before mixing positive and negative rational forms.
Grade 7 proportional reasoning →Pair 7.NS number-system fluency with the complete 7.RP fraction-rate, graph, equation, and percent-application cluster.
Next: Grade 7 expressions & equations →Use exact rational-number fluency inside equivalent expressions, multi-step problems, two-step equations, and inequalities.
Frequently asked questions
Which Grade 7 standards does this hub cover?
The focused generators cover 7.NS.A.1a–d, 7.NS.A.2a–d, and 7.NS.A.3: signed addition/subtraction, number-line models, multiplication/division, rational decimal expansions, operation properties, and real-world four-operation problems.
Does this replace the existing fraction and decimal generators?
No. Those tools remain useful for prerequisite fraction/decimal fluency. This hub is the Grade 7 layer where positive and negative fractions, decimals, mixed numbers, and integers are treated as one rational-number system.
How are repeating decimals handled?
The generator tracks exact long-division remainders. Parentheses mark the repeating block, so 0.1(6) means 0.1666… rather than a rounded value.
Are intermediate answers rounded?
No. The engine keeps normalized numerator/denominator pairs through every operation. Decimal and money displays are derived from exact values.