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Number and Algebra Foundations

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Number and Algebra Foundations

Mathematical symbols and patterns

📊 Part 1: Number Operations and Place Value

1. Multiply the following numbers by powers of 10:

a) 3.45 × 10 = ___________

b) 0.67 × 100 = ___________

c) 12.8 × 1000 = ___________

2. Round these decimals to the nearest whole number, then estimate the answer:

4.7 + 8.3 ≈ _______ + _______ = _______

3. Which fraction is equivalent to 0.75?

3/5

3/4

7/5

15/20

4. Convert these improper fractions to mixed numbers:

a) 11/4 = ___________

b) 17/5 = ___________

🔢 Part 2: Patterns and Algebra

5. Continue this growing pattern and describe the rule:

2, 5, 8, 11, _______, _______

Rule: Start with 2, then ________________________

6. Solve these one-step equations using inverse operations:

a) x + 7 = 15 x = _______

b) 3y = 21 y = _______

c) n - 4 = 9 n = _______

7. Write an equation for this word problem, then solve:

"Sarah bought some stickers. After giving away 8 stickers, she had 15 left. How many stickers did she start with?"

Equation: _________________________

Answer: Sarah started with _______ stickers

🧠 Part 3: Problem Solving and Reasoning

8. A school disco ticket costs $12. If there's a 25% discount for early booking, how much would you pay?

Final price: $ _______

9. Create your own growing pattern using the rule "multiply by 2, then add 1":

Starting number: 3

Pattern: 3, _______, _______, _______, _______

10. Explain your strategy for multiplying decimals by 100:

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