Operation & Algebraic Thinking
Write a multiplication equation to show "There are 6 rows of 4 chairs."
6 × 4 = 24.
Write 4,305 in expanded form.
4,000 + 300 + 0 + 5.
Draw or describe a fraction equivalent to 1/2 with denominator 8. Write it in fraction form.
Equivalent to 1/2 with denominator 8: 4/8.
Solve: 56 + 28 = ?
56 + 28 = 84.
Write an equation that shows 9 is 3 times what number. Solve.
9 = 3 × 3 so number is 3.
Solve: A baker makes 48 cookies. He packs them into boxes of 6. How many boxes can he fill?
48 ÷ 6 = 8 boxes
Which is greater: 7,409 or 7,490? Explain using place value.
7,490 is greater because the tens place 9 > 0.
Which is larger: 3/4 or 5/8? Explain using common denominator.
3/4 = 6/8; 6/8 > 5/8 so 3/4 is larger.
A recipe needs 3/4 cup sugar. You have 1/2 cup. How much more sugar is needed?
3/4 − 1/2 = 1/4 (or need 1/4 more).
Estimate: Is 7,892 closer to 7,900 or 7,800? Explain by rounding to the nearest hundred.
Round 7,892 to nearest hundred → 7,900 (because tens digit 9).
Maria has 5 times as many stamps as Leo. If Leo has 12 stamps, how many does Maria have? Write an equation and solve.
5 × 12 = 60
Round 8,467 to the nearest hundred.
8,467 ≈ 8,500 (nearest hundred) → 8,467 → 8,500; rounded to 8,500
Add: 2/3 + 1/3 = ? Show work or explain.
2/3 + 1/3 = 3/3 = 1.
Find the perimeter of a rectangle with length 14 cm and width 7 cm.
Perimeter = 2(14+7)=2×21=42 cm.
Multiply: 58 × 23. Use an area model,
58×23 = 1,334
50x20, 50x3,
20x8, 3x8,
Solve this multi-step problem: A school ordered 7 boxes of markers. Each box has 12 markers. They used 25 markers. How many markers are left?
7×12 = 84; 84 − 25 = 59 left.
Multiply: 236 × 4. Show multiplication in expanded form.
236×4 = 944 (200×4=800; 30×4=120; 6×4=24; sum=944).
Decompose 7/8 into a sum of fractions with denominator 8 in two different ways.
Examples: 7/8 = (4/8 + 3/8), (5/8 + 2/8), (1/8+1/8+ 5/8) etc.
Convert: 3 meters = how many centimeters?
3 m = 300 cm.
Compare and order from least to greatest: 4/5, 3/4, 7/8.
Convert to common denominator 40: 3/4=30/40, 4/5=32/40, 7/8=35/40 → order: 3/4, 4/5, 7/8.
Find all factor pairs of 36. Which pairs show that 36 is composite?
Factor pairs: (1x36), (2x18), (3x12), (4x9), (6x6). 36 is composite.
Divide: Find the quotient and remainder for 3,912 ÷ 7. (Give whole-number quotient and remainder.)
3,912 ÷ 7 = 558 remainder 6 (7×558=3,906).
Subtract: 5 2/3 − 2 5/6. Show steps and give the result as a mixed number or improper fraction
convert fraction first, find common denom of 6 → 5 4/6; 2 5/6
Compute 5 4/6 − 2 5/6
Convert to improper fraction: 5 2/3 = 17/3, 2 5/6 = 17/6; 17/3 − 17/6 = 34/6 −17/6 =17/6 = 2 5/6.
A class collected 2,345 cans for a food drive. They pack cans into boxes that hold 12 cans each. How many full boxes can they make and how many cans remain?
2,345 ÷ 12 = 195 full boxes (12×195=2,340) with 5 cans remaining.
Multi-step problem: A gardener plants flowers in rows. Each row has 9 plants. He plants for 6 rows and then adds 4 more plants. Later he gives away 11 plants. How many plants remain? Show your work and write an equation.
9×6=54; 54+4=58; 58−11=47 remain.