D125 Mathematics for Elementary Educators I

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Free D125 Mathematics for Elementary Educators I Questions

1.

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
2.

Select ALL the whole numbers from the following numbers.

  • 17
  • 11
  • es
  • ES

Explanation

Explanation
Whole numbers are non-negative numbers without fractions or decimals, starting from 0 and continuing upwards: 0, 1, 2, 3, … Among the given options, 17 and 11 are valid whole numbers. The entries “es” and “ES” are not numerical values and therefore cannot be classified as whole numbers.
Correct Answer Is:
17, 11
3.

Which of the following represents the prime factorization of 96?

  • 2^5 * 3
  • 2^5 * 3^2
  • 2^5 * 3^1
  • 2^6 * 3^2

Explanation

Explanation
To find the prime factorization of 96, divide it by the smallest prime numbers repeatedly. 96 ÷ 2 = 48, 48 ÷ 2 = 24, 24 ÷ 2 = 12, 12 ÷ 2 = 6, 6 ÷ 2 = 3. The remaining 3 is prime. Counting the factors, we have 2 multiplied 5 times and 3 multiplied once. Therefore, the prime factorization is 2^5 * 3, which matches the correct option.
Correct Answer Is:
2^5 * 3
4.

Using the sieve of Eratosthenes up to 30, how many primes are there, and identify the 5th one?

  • 10 primes, 11
  • 8 primes, 13
  • 10 primes, 13
  • 11 primes, 17

Explanation

Explanation
The sieve of Eratosthenes helps identify all prime numbers up to a given limit by eliminating multiples of each prime. Primes up to 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Counting these, there are 10 primes. The fifth prime in this list is 11. Therefore, the correct answer is 10 primes, 11.
Correct Answer Is:
10 primes, 11
5.

What is the process for multiplying decimals?

  • Divide the decimal places
  • Add the decimal places
  • Multiply as you would with whole numbers and consider decimal places
  • Subtract the decimal places

Explanation

Explanation
To multiply decimals, first ignore the decimal points and multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in both original numbers and place the decimal in the product so that it has the same total number of decimal places. This ensures the product correctly reflects the magnitude of the decimals. Therefore, the correct answer is the option that describes multiplying like whole numbers and adjusting for decimal places.
Correct Answer Is:
Multiply as you would with whole numbers and consider decimal places
6.

Students are adding whole numbers: 247 + 189. What is the sum?

  • 426
  • 436
  • 446
  • 456

Explanation

Explanation

To add 247 and 189, align the digits by place value and add column by column:

7 + 9 = 16, write 6 and carry over 1

4 + 8 + 1 (carry) = 13, write 3 and carry over 1

2 + 1 + 1 (carry) = 4

So, the sum is 436. Therefore, the correct answer is 436.

Correct Answer:

436


7.

What is the value of the digit 7 in the number 678?

  • 6
  • 700
  • 70
  • 60

Explanation

Explanation
In the number 678, the digit 7 is in the tens place. The value of a digit depends on its position in the number. Since 7 is in the tens place, its value is 7 * 10 = 70. Therefore, the correct answer is the option that identifies 70 as the value of the digit 7.
Correct Answer Is:
70
8.

What is the numerator of a fraction?

  • The result of dividing two integers
  • The number on the bottom of a fraction
  • The whole number part of a fraction
  • The number on the top of a fraction

Explanation

Explanation
The numerator of a fraction is the number written above the fraction bar. It represents how many parts of the whole are being considered. In contrast, the denominator shows the total number of equal parts in the whole. Because the numerator indicates the counted portion, the correct answer is the option that identifies it as the number on the top of a fraction.
Correct Answer Is:
The number on the top of a fraction
9.

What is a number that has only two positive factors: one and itself?

  • Whole number
  • Integer
  • Composite number
  • Prime number

Explanation

Explanation
A number with exactly two positive factors—one and itself—is called a prime number. Prime numbers cannot be formed by multiplying two smaller natural numbers and therefore have no additional factors. This makes them fundamental building blocks in number theory. The option that correctly identifies such numbers is the one referring to prime numbers.
Correct Answer Is:
Prime number
10.

What is the rule for a geometric sequence with the first four terms: 10, 20, 40, 80?

  • Adding 10
  • Multiplying by 2
  • Subtracting 10
  • Dividing by 2

Explanation

Explanation
A geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a constant called the common ratio. In this sequence, 10 × 2 = 20, 20 × 2 = 40, 40 × 2 = 80, showing that each term is multiplied by 2 to get the next term. Therefore, the correct answer is the option that describes multiplying by 2 as the rule for this geometric sequence.
Correct Answer Is:
Multiplying by 2

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