D125 Mathematics for Elementary Educators I

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Free D125 Mathematics for Elementary Educators I Questions

1.

Which of the following numbers are prime numbers? (Choose all that apply)

  • 39

  • 47

  • 27

  • 73

Explanation

Explanation
A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Checking the options: 39 can be divided by 3 and 13, so it is not prime; 47 has no divisors other than 1 and 47, so it is prime; 27 can be divided by 3 and 9, so it is not prime; 73 has no divisors other than 1 and 73, so it is prime. Therefore, the numbers 47 and 73 are prime.
Correct Answer Is:
47, 73
2.

In the number 8,119.289, what is the value of the digit 2?

  • 0.02

  • 20

  • 800

  • 0.2

Explanation

Explanation
In the number 8,119.289, the digit 2 is in the hundredths place of the decimal part. The value of a digit in the hundredths place is calculated as 2 * 0.01 = 0.02. Therefore, the correct answer is the option that represents 0.02 as the value of the digit 2.
Correct Answer Is:
0.02
3.

In a classroom activity, students identify composites. Which is composite?

  • 7

  • 11

  • 15

  • 13

Explanation

Explanation
A composite number is a number greater than 1 that has more than two positive divisors, meaning it can be divided evenly by numbers other than 1 and itself. Among the options, 15 can be divided evenly by 1, 3, 5, and 15, making it composite. The other numbers—7, 11, and 13—are prime, as they have only two divisors. Therefore, the correct answer is 15.
Correct Answer Is:
15
4.

What percent of 89.3 is 44.65?

  • 40%

  • 60%

  • 50%

  • 30%

Explanation

Explanation
To find what percent 44.65 is of 89.3, divide 44.65 by 89.3 and multiply by 100: (44.65/89.3) * 100 = 50%. This calculation converts the fraction of 44.65 over 89.3 into a percentage, showing that 44.65 is half of 89.3. Therefore, the correct answer is the option that equals 50%.
Correct Answer Is:
50%
5.

How to Find the GCF and LCM Using Prime Factorization?

  • Identify common factors and calculate the product for GCF, then find LCM by multiplying GCF and unused factors

  • Multiply the prime factors

  • Add the prime factors

  • Subtract the prime factors

Explanation

Explanation
To find the GCF using prime factorization, list the prime factors of each number and identify the common factors; the product of these common factors gives the GCF. To find the LCM, take the GCF and multiply it by the remaining unused prime factors from each number. This method ensures both the greatest shared factor and the least shared multiple are accurately determined using the prime components of the numbers. Therefore, the correct answer is the option that describes identifying common factors for GCF and using them to find the LCM.
Correct Answer Is:
Identify common factors and calculate the product for GCF, then find LCM by multiplying GCF and unused factors
6.

What is the process for multiplying fractions?

  • Subtract the numerators and subtract the denominators

  • Multiply the numerators and multiply the denominators

  • Add the numerators and add the denominators

  • Divide the numerators and divide the denominators

Explanation

Explanation
When multiplying fractions, you multiply the numerators of the fractions to get the new numerator and multiply the denominators to get the new denominator. This straightforward method directly combines the fractions into a single product without needing a common denominator. It preserves the value of the fractions while producing a simplified result. Therefore, the correct answer is the option that involves multiplying the numerators and denominators.
Correct Answer Is:
Multiply the numerators and multiply the denominators
7.

81 is what percent of 162?

  • 60%

  • 50%

  • 40%

  • 30%

Explanation

Explanation
To determine what percent 81 is of 162, divide 81 by 162 and multiply by 100 to convert the fraction to a percentage. The calculation: (81/162) * 100 = 50%. Therefore, 81 represents 50 percent of 162.
Correct Answer Is:
50%
8.

What are Factors of a number?

  • Numbers that divide the number

  • Numbers that multiply to give the number

  • Numbers that add up to the number

  • Numbers that subtract to give the number

Explanation

Explanation
Factors of a number are integers that divide the given number exactly without leaving a remainder. They are the numbers that can be multiplied together in pairs to produce the original number. For example, the factors of 12 include 1, 2, 3, 4, 6, and 12, all of which divide 12 evenly. Therefore, the correct answer is the option that describes factors as numbers that divide the number.
Correct Answer Is:
Numbers that divide the number
9.

Even or odd: 100

  • Even

  • Odd

  • Prime

  • Composite

Explanation

Explanation
An even number is any integer divisible by 2 without a remainder. Since 100 ÷ 2 = 50, which is a whole number, 100 is even. Therefore, the correct answer is even.
Correct Answer Is:
Even
10.

Evaluate: 10 – 2 × 3

  • 4

  • 24

  • 8

  • 16

Explanation

Explanation
According to the order of operations (PEMDAS/BODMAS), multiplication is performed before subtraction. Multiply first: 2 × 3 = 6. Then subtract: 10 – 6 = 4. Therefore, the result of 10 – 2 × 3 is 4.
Correct Answer Is:
4

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