1. 8) What decimal is equal to 3/5?
- To convert the fraction 3/5 to a decimal, divide 3 by 5.
- 3 ÷ 5 = 0.60
- The correct answer is C. 0.60.
2. 9) What is 50% of 40?
- To find 50% of a number, multiply the number by 0.50 (or 1/2).
- 40 × 0.50 = 20
- The correct answer is C. 20.
3. 10) 5³ =
- The exponent 3 means to multiply the base (5) by itself three times.
- 5³ = 5 × 5 × 5
- The correct answer is A. 5 × 5 × 5.
4. 11) What is the prime factorization of 45?
- Prime factorization means breaking down a number into its prime factors.
- 45 can be divided by 5: 45 ÷ 5 = 9
- 9 can be divided by 3: 9 ÷ 3 = 3
- 3 is a prime number.
- So, 45 = 5 × 3 × 3 = 5 × 3²
- The correct answer is B. 3² × 5.
5. 12) What is the prime factorization of 12?
- 12 can be divided by 2: 12 ÷ 2 = 6
- 6 can be divided by 2: 6 ÷ 2 = 3
- 3 is a prime number.
- So, 12 = 2 × 2 × 3 = 2² × 3
- The correct answer is A. 2² × 3.
6. 13) What is the prime factorization of 36?
- 36 can be divided by 2: 36 ÷ 2 = 18
- 18 can be divided by 2: 18 ÷ 2 = 9
- 9 can be divided by 3: 9 ÷ 3 = 3
- 3 is a prime number.
- So, 36 = 2 × 2 × 3 × 3 = 2² × 3²
- The correct answer is A. 2² × 3².
7. 14) Which of the following shows the number 60 factored into prime numbers?
- 60 can be divided by 2: 60 ÷ 2 = 30
- 30 can be divided by 2: 30 ÷ 2 = 15
- 15 can be divided by 3: 15 ÷ 3 = 5
- 5 is a prime number.
- So, 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5
- The correct answer is D. 2 × 2 × 3 × 5.
8. 15) Which expression shows the prime factorization of 48?
- 48 can be divided by 2: 48 ÷ 2 = 24
- 24 can be divided by 2: 24 ÷ 2 = 12
- 12 can be divided by 2: 12 ÷ 2 = 6
- 6 can be divided by 2: 6 ÷ 2 = 3
- 3 is a prime number.
- So, 48 = 2 × 2 × 2 × 2 × 3 = 2⁴ × 3
- The correct answer is D. 2 × 2 × 2 × 2 × 3.
Parent Tip: Review the logic above to help your child master the concept of 5th grade math test.