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Determine whether each number is prime or composite. a) 29 b) 39 c) 51 d) 2 2. Write the prime...

1. Determine whether each number is prime or composite.
a) 29
b) 39
c) 51
d) 2
2. Write the prime factorization of 420. Show your factor tree or division steps.
3. A school ordered 40 notebooks. Four fifths were distributed to students. Draw a diagram showing the portion distributed and the portion remaining.
a) How many notebooks were distributed?
b) What percent of the notebooks remain?
4. A farmer harvested 80 apples. Twenty-five percent were bruised. Draw a diagram representing the situation.
a) What fraction of the apples were bruised?
b) How many apples were NOT bruised?
5. A jar contains 36 marbles, and 9 are blue. Draw a diagram representing the blue and non-blue marbles.
a) What fraction are blue (in lowest terms)?
b) What percent are not blue?

Answer

  1. Determine whether each number is prime or composite.
    1. 29: Prime
    2. 39: Composite
    3. 51: Composite
    4. 2: Prime
  2. Write the prime factorization of 420.

    420 = 2 × 2 × 3 × 5 × 7

  3. A school ordered 40 notebooks. Four fifths were distributed to students.
    1. How many notebooks were distributed? 32
    2. What percent of the notebooks remain? 20%
  4. A farmer harvested 80 apples. Twenty-five percent were bruised.
    1. What fraction of the apples were bruised? 1/4
    2. How many apples were NOT bruised? 60
  5. A jar contains 36 marbles, and 9 are blue.
    1. What fraction are blue (in lowest terms)? 1/4
    2. What percent are not blue? 75%

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