Which Of The Following Is A Multiple Of 5?A) 532 B) 17 C) 235 D) 48
Understanding Multiples of 5
In mathematics, a multiple of a number is the product of that number and an integer. For example, the multiples of 5 are 5, 10, 15, 20, and so on. To determine if a number is a multiple of 5, we need to check if it can be divided by 5 without leaving a remainder.
Checking the Options
Let's analyze each option to determine if it is a multiple of 5.
Option A: 532
To check if 532 is a multiple of 5, we can divide it by 5.
532 ÷ 5 = 106.4
Since 532 cannot be divided by 5 without leaving a remainder, it is not a multiple of 5.
Option B: 17
To check if 17 is a multiple of 5, we can divide it by 5.
17 ÷ 5 = 3.4
Since 17 cannot be divided by 5 without leaving a remainder, it is not a multiple of 5.
Option C: 235
To check if 235 is a multiple of 5, we can divide it by 5.
235 ÷ 5 = 47
Since 235 can be divided by 5 without leaving a remainder, it is a multiple of 5.
Option D: 48
To check if 48 is a multiple of 5, we can divide it by 5.
48 ÷ 5 = 9.6
Since 48 cannot be divided by 5 without leaving a remainder, it is not a multiple of 5.
Conclusion
Based on our analysis, the correct answer is C) 235. It is the only option that can be divided by 5 without leaving a remainder, making it a multiple of 5.
Why is it Important to Identify Multiples of 5?
Identifying multiples of 5 is an essential skill in mathematics, particularly in arithmetic and algebra. It helps us to perform calculations, solve equations, and understand various mathematical concepts. For example, in arithmetic, we use multiples of 5 to perform calculations involving fractions and decimals. In algebra, we use multiples of 5 to solve equations and inequalities.
Real-World Applications of Multiples of 5
Multiples of 5 have numerous real-world applications. For example, in finance, we use multiples of 5 to calculate interest rates, investment returns, and loan payments. In science, we use multiples of 5 to measure quantities such as temperature, pressure, and density. In everyday life, we use multiples of 5 to perform calculations involving time, distance, and weight.
Tips for Identifying Multiples of 5
Here are some tips to help you identify multiples of 5:
- Divide the number by 5: If the result is a whole number, then the number is a multiple of 5.
- Check the last digit: If the last digit of the number is 0 or 5, then it is a multiple of 5.
- Use a calculator: If you are unsure whether a number is a multiple of 5, you can use a calculator to divide it by 5.
Conclusion
In conclusion, identifying multiples of 5 is an essential skill in mathematics. By understanding what multiples of 5 are and how to identify them, we can perform calculations, solve equations, and understand various mathematical concepts. We can also apply this knowledge to real-world situations, such as finance, science, and everyday life.
Q: What is a multiple of 5?
A: A multiple of 5 is a number that can be divided by 5 without leaving a remainder. For example, 5, 10, 15, 20, and so on are all multiples of 5.
Q: How do I determine if a number is a multiple of 5?
A: To determine if a number is a multiple of 5, you can divide it by 5. If the result is a whole number, then the number is a multiple of 5. Alternatively, you can check the last digit of the number. If the last digit is 0 or 5, then it is a multiple of 5.
Q: What are some examples of multiples of 5?
A: Some examples of multiples of 5 include:
- 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, and so on
- 5,000, 10,000, 15,000, 20,000, 25,000, and so on
Q: Can a number be a multiple of both 5 and another number?
A: Yes, a number can be a multiple of both 5 and another number. For example, 10 is a multiple of both 5 and 2.
Q: How do I find the least common multiple (LCM) of two numbers that are multiples of 5?
A: To find the LCM of two numbers that are multiples of 5, you can list the multiples of each number and find the smallest multiple that is common to both. Alternatively, you can use the formula:
LCM(a, b) = (a × b) / GCD(a, b)
where GCD(a, b) is the greatest common divisor of a and b.
Q: What is the greatest common divisor (GCD) of two numbers that are multiples of 5?
A: The GCD of two numbers that are multiples of 5 is the largest number that divides both numbers without leaving a remainder. For example, the GCD of 10 and 20 is 10.
Q: Can a number be a multiple of 5 and a prime number?
A: Yes, a number can be a multiple of 5 and a prime number. For example, 5 is a multiple of 5 and a prime number.
Q: How do I convert a decimal to a multiple of 5?
A: To convert a decimal to a multiple of 5, you can multiply it by 10 and then round to the nearest multiple of 5.
Q: What is the relationship between multiples of 5 and fractions?
A: Multiples of 5 are related to fractions in that they can be used to simplify fractions. For example, the fraction 1/5 can be simplified to 0.2, which is a multiple of 5.
Q: Can a number be a multiple of 5 and a negative number?
A: Yes, a number can be a multiple of 5 and a negative number. For example, -5 is a multiple of 5 and a negative number.
Q: How do I find the sum of multiples of 5?
A: To find the sum of multiples of 5, you can use the formula:
sum = (n × (a + l)) / 2
where n is the number of terms, a is the first term, and l is the last term.
Q: What is the difference between a multiple of 5 and a factor of 5?
A: A multiple of 5 is a number that can be divided by 5 without leaving a remainder, while a factor of 5 is a number that divides 5 without leaving a remainder. For example, 5 is a multiple of 5 and a factor of 5.
Q: Can a number be a multiple of 5 and a decimal?
A: Yes, a number can be a multiple of 5 and a decimal. For example, 5.0 is a multiple of 5 and a decimal.
Q: How do I find the product of multiples of 5?
A: To find the product of multiples of 5, you can multiply the numbers together.
Q: What is the relationship between multiples of 5 and percentages?
A: Multiples of 5 are related to percentages in that they can be used to calculate percentages. For example, 5% is a multiple of 5 and a percentage.
Q: Can a number be a multiple of 5 and a negative decimal?
A: Yes, a number can be a multiple of 5 and a negative decimal. For example, -5.0 is a multiple of 5 and a negative decimal.
Q: How do I find the average of multiples of 5?
A: To find the average of multiples of 5, you can add the numbers together and divide by the number of terms.
Q: What is the relationship between multiples of 5 and ratios?
A: Multiples of 5 are related to ratios in that they can be used to simplify ratios. For example, the ratio 1:5 can be simplified to 1:1, which is a multiple of 5.
Q: Can a number be a multiple of 5 and a fraction with a denominator of 5?
A: Yes, a number can be a multiple of 5 and a fraction with a denominator of 5. For example, 1/5 is a multiple of 5 and a fraction with a denominator of 5.
Q: How do I find the median of multiples of 5?
A: To find the median of multiples of 5, you can arrange the numbers in order and find the middle value.
Q: What is the relationship between multiples of 5 and proportions?
A: Multiples of 5 are related to proportions in that they can be used to simplify proportions. For example, the proportion 1:5 can be simplified to 1:1, which is a multiple of 5.
Q: Can a number be a multiple of 5 and a negative fraction?
A: Yes, a number can be a multiple of 5 and a negative fraction. For example, -1/5 is a multiple of 5 and a negative fraction.
Q: How do I find the mode of multiples of 5?
A: To find the mode of multiples of 5, you can identify the number that appears most frequently.
Q: What is the relationship between multiples of 5 and decimals with a denominator of 5?
A: Multiples of 5 are related to decimals with a denominator of 5 in that they can be used to simplify decimals. For example, the decimal 0.5 is a multiple of 5 and a decimal with a denominator of 5.
Q: Can a number be a multiple of 5 and a negative decimal with a denominator of 5?
A: Yes, a number can be a multiple of 5 and a negative decimal with a denominator of 5. For example, -0.5 is a multiple of 5 and a negative decimal with a denominator of 5.
Q: How do I find the range of multiples of 5?
A: To find the range of multiples of 5, you can subtract the smallest value from the largest value.
Q: What is the relationship between multiples of 5 and ratios with a denominator of 5?
A: Multiples of 5 are related to ratios with a denominator of 5 in that they can be used to simplify ratios. For example, the ratio 1:5 can be simplified to 1:1, which is a multiple of 5.
Q: Can a number be a multiple of 5 and a negative ratio?
A: Yes, a number can be a multiple of 5 and a negative ratio. For example, -1:5 is a multiple of 5 and a negative ratio.
Q: How do I find the standard deviation of multiples of 5?
A: To find the standard deviation of multiples of 5, you can use the formula:
σ = √(Σ(x - μ)^2 / (n - 1))
where σ is the standard deviation, x is each value, μ is the mean, and n is the number of values.
Q: What is the relationship between multiples of 5 and proportions with a denominator of 5?
A: Multiples of 5 are related to proportions with a denominator of 5 in that they can be used to simplify proportions. For example, the proportion 1:5 can be simplified to 1:1, which is a multiple of 5.
Q: Can a number be a multiple of 5 and a negative proportion?
A: Yes, a number can be a multiple of 5 and a negative proportion. For example, -1:5 is a multiple of 5 and a negative proportion.
Q: How do I find the variance of multiples of 5?
A: To find the variance of multiples of 5, you can use the formula:
σ^2 = Σ(x - μ)^2 / (n - 1)
where σ^2 is the variance, x is each value, μ is the mean, and n is the number of values.
Q: What is the relationship between multiples of 5 and decimals with a denominator of 5 and a negative sign?
A: Multiples of 5 are related to decimals with a denominator of 5 and a negative sign in that they can be used to simplify decimals. For example, the decimal -0.5 is a multiple of 5 and a decimal with a denominator of 5 and