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Operations with Rational Numbers (Mixed Review) — Easy Worksheet 1
Grade 7 · Whoobee Name: ____________________ Date: __________
Solve each problem.
How to solve
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Example
-12 - 23 = ___
Answer: -76
Not quite. The answer is
💡 The LCD of 4 and 2 is 4, so rewrite: 12 = 24. Both numbers are positive and the first is larger, so subtract as usual: 34 − 24 = 14. So 34 − 12 = 14.
✓ Correct!
Not quite. The answer is
💡 The LCD of 4 and 2 is 4, so rewrite: 12 = 24. Both numbers are positive and the first is larger, so subtract as usual: 34 − 24 = 14. So 34 − 12 = 14.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
-12 + 14 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 1.3 − 0.3 = 1. 1.3 is farther from 0, so the answer is positive: (−0.3) + 1.3 = 1.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 1.3 − 0.3 = 1. 1.3 is farther from 0, so the answer is positive: (−0.3) + 1.3 = 1.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
13 - 14 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The numbers are opposites, so they add to 0: (−12) + 12 = 0.
✓ Correct!
Not quite. The answer is
💡 The numbers are opposites, so they add to 0: (−12) + 12 = 0.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
14 + 34 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both numbers are negative, so the product is positive. Now multiply the sizes. Multiply as whole numbers: 7 × 15 = 105. 0.7 has 1 decimal place and 1.5 has 1 decimal place, so the product has 2: 1.05. So (−0.7) × (−1.5) = 1.05.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so the product is positive. Now multiply the sizes. Multiply as whole numbers: 7 × 15 = 105. 0.7 has 1 decimal place and 1.5 has 1 decimal place, so the product has 2: 1.05. So (−0.7) × (−1.5) = 1.05.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
-34 - 13 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtracting a number is the same as adding its opposite: (−12) − 12 = (−12) + (−12). Both numbers are negative, so add the sizes, 12 + 12 = 22, and keep the minus sign: (−12) + (−12) = −22. −22 = −1. So (−12) − 12 = −1.
✓ Correct!
Not quite. The answer is
💡 Subtracting a number is the same as adding its opposite: (−12) − 12 = (−12) + (−12). Both numbers are negative, so add the sizes, 12 + 12 = 22, and keep the minus sign: (−12) + (−12) = −22. −22 = −1. So (−12) − 12 = −1.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
24 + 24 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The signs are different, so the product is negative. Now multiply the sizes. Multiply as whole numbers: 6 × 9 = 54. 0.6 has 1 decimal place and 0.9 has 1 decimal place, so the product has 2: 0.54. So 0.6 × (−0.9) = −0.54.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the product is negative. Now multiply the sizes. Multiply as whole numbers: 6 × 9 = 54. 0.6 has 1 decimal place and 0.9 has 1 decimal place, so the product has 2: 0.54. So 0.6 × (−0.9) = −0.54.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
-13 - 12 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The LCD of 2 and 3 is 6, so rewrite: 12 = 36 and 23 = 46. Both numbers are positive, so just add: 36 + 46 = 76. So 12 + 23 = 76.
✓ Correct!
Not quite. The answer is
💡 The LCD of 2 and 3 is 6, so rewrite: 12 = 36 and 23 = 46. Both numbers are positive, so just add: 36 + 46 = 76. So 12 + 23 = 76.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
12 - 14 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both numbers are negative, so add the sizes, 1.3 + 1.1 = 2.4, and keep the minus sign: (−1.3) + (−1.1) = −2.4.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so add the sizes, 1.3 + 1.1 = 2.4, and keep the minus sign: (−1.3) + (−1.1) = −2.4.
💡 How to solve: Operations with Rational Numbers (Mixed Review)
For fractions, find a common denominator, then add or subtract the numerators and simplify. For decimals, use the integer sign rules: subtracting is adding the opposite, and when multiplying or dividing, same signs give a positive answer and different signs give a negative answer.
Try a similar one
-12 + 13 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Operations with Rational Numbers (Mixed Review) — Easy Worksheet 1
Solve each problem.