Integers, Fractions, and Decimals
Core no-calculator arithmetic skills: signed numbers, fraction operations, and decimal conversions.
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Study Smart Tips for Integers, Fractions, and Decimals
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Active Recall
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Spaced Repetition
Review difficult cards more frequently than easy ones
Multiple Sessions
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Explain Aloud
Verbalize answers to reinforce understanding
Questions Covered in This Set
10 cards to master
Compute -3 - 7 using the number line
Start at −3, move 7 left → −10
What does 8 - (-3) equal, and why?
11 — two minus signs collapse into a plus, so rewrite as 8 + 3
Sign rule for multiplication/division
Same signs → positive; different signs → negative. Count negative factors: even → positive, odd → negative.
(-3)^2 vs -3^2
(-3)^2 = 9 (whole −3 is squared); -3^2 = −9 (only the 3 is squared, minus applied after)
How do you divide fractions?
Keep, change, flip: 2/3 ÷ 5/6 = 2/3 · 6/5 = 12/15 = 4/5
Best habit when multiplying fractions
Cancel first, then multiply straight across — keeps numbers small (3/8 · 4/9 = 1/6)
How do you compare 5/8 and 7/11?
Cross-multiply: 5·11 = 55 vs 7·8 = 56. 56 sits over the 7/11 side, so 7/11 is bigger.
Do you need the LEAST common denominator to add fractions?
No — multiplying the denominators always works; the result just reduces to the same answer (38/24 = 19/12)
Multiply 0.3 × 0.04
3 × 4 = 12, then count 1 + 2 = 3 decimal places → 0.012
Compute 1.2 ÷ 0.04
Slide both points right: 120 ÷ 4 = 30. Dividing by a number less than 1 makes the result bigger.
