Math Number Sense and Operations 2

Question 1

Which number is written in correct scientific notation?

Accepted Answer

2.35 × 10⁴

Answer

Scientific notation requires the coefficient to be at least 1 and less than 10; 2.35 × 10⁴ = 23,500 and satisfies this condition.

Question 2

Which of the following numbers is divisible by 9?

Accepted Answer

432

Answer

A number is divisible by 9 if the sum of its digits is divisible by 9; for 432: 4 + 3 + 2 = 9.

Question 3

What is the greatest common factor (GCF) of 36 and 48?

Accepted Answer

12

Answer

36 = 2² × 3² and 48 = 2⁴ × 3, so GCF = 2² × 3 = 12.

Question 4

What is √144?

Accepted Answer

12

Answer

12 × 12 = 144, so the square root of 144 is 12.

Question 5

Which of the following is an irrational number?

Accepted Answer

√5

Answer

√5 ≈ 2.2360679… is a non-terminating, non-repeating decimal and cannot be expressed as a fraction, making it irrational.

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