Math Problem Statement

Math Test Prep - 4th Grade

Solution

Let's go through the math problems from the image:

7. Pattern Rule

Rule: Add 4
First item: 6

  • Start with 6, then add 4 repeatedly.
  • Numbers: 6, 10, 14, 18, 22.
    • The correct option is A (10, 14, 18, 22).

8. Rounding

Round 84,324 to the nearest thousand:

  • The hundreds digit is 3, so round down to 84,000.
    • The correct option is D (84,000).

9. Equivalent Fractions

Which is equivalent to 47\frac{4}{7}?

  • To find equivalent fractions, multiply both the numerator and the denominator by the same number.
  • For option A: 4×27×2=814\frac{4 \times 2}{7 \times 2} = \frac{8}{14}, which is correct.
    • The correct option is A 814\frac{8}{14}.

10. Total Money as Fraction

  • The image shows $2.85 (2 dollars and 85 cents).
  • $0.85 is 85100\frac{85}{100}.
    • The correct option is B ($2.85, 85100\frac{85}{100}).

11. Conversion: Meters to Centimeters

3 meters = ? centimeters:

  • 1 meter = 100 centimeters, so 3 meters = 3×100=3003 \times 100 = 300 centimeters.
    • The correct option is C (300).

12. Mixed Fraction

Convert 223\frac{22}{3} to a mixed number:

  • 22÷3=722 \div 3 = 7 remainder 1, so 223=713\frac{22}{3} = 7 \frac{1}{3}.
    • The correct option is B 7137 \frac{1}{3}.

Do you want more details on any of the problems?

Here are 5 related questions for practice:

  1. What is the next number in the pattern 6, 10, 14, 18, 22, ___?
  2. Round 56,789 to the nearest thousand.
  3. Which fraction is equivalent to 35\frac{3}{5}?
  4. Convert $1.95 to a fraction of a dollar.
  5. How many centimeters are in 5 meters?

Tip: When rounding, always look at the digit to the right of the place you're rounding to. If it's 5 or more, round up!

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Math Problem Analysis

Mathematical Concepts

Patterns
Rounding
Fractions
Money and Decimals
Unit Conversion
Mixed Numbers

Formulas

Rounding: Look at the hundreds digit
Equivalent fractions: Multiply numerator and denominator by the same number
Unit conversion: 1 meter = 100 centimeters
Mixed number conversion: Division to find quotient and remainder

Theorems

Fraction equivalence
Rounding rules

Suitable Grade Level

Grade 4