Which Number Is One Hundredth Less Than 7.3?A. 7.29 B. 7.2 C. 6.29 D. 6.2
Understanding the Problem
To find the number that is one hundredth less than 7.3, we need to understand what "one hundredth" means. In mathematical terms, one hundredth is equivalent to 1/100 or 0.01. Therefore, we need to subtract 0.01 from 7.3 to find the number that is one hundredth less.
Calculating the Answer
To calculate the answer, we can simply subtract 0.01 from 7.3.
7.3 - 0.01 = 7.29
Comparing the Answer with the Options
Now that we have calculated the answer, let's compare it with the options provided.
- Option A: 7.29
- Option B: 7.2
- Option C: 6.29
- Option D: 6.2
Conclusion
Based on our calculation, the number that is one hundredth less than 7.3 is 7.29. Therefore, the correct answer is Option A: 7.29.
Why is this Problem Important?
This problem is important because it helps us understand the concept of fractions and decimals. In real-life situations, we often need to perform calculations involving fractions and decimals. For example, in finance, we may need to calculate interest rates or investment returns, which involve fractions and decimals. In science, we may need to calculate measurements or quantities, which also involve fractions and decimals. Therefore, it is essential to understand how to perform calculations involving fractions and decimals.
How to Apply this Concept in Real-Life Situations
To apply this concept in real-life situations, we need to understand how to perform calculations involving fractions and decimals. Here are a few examples:
- Finance: If you invest $1000 in a savings account with an interest rate of 5% per annum, how much will you earn in interest after one year? To calculate this, you need to multiply the principal amount ($1000) by the interest rate (5% or 0.05) and then subtract the result from the principal amount. This will give you the interest earned.
- Science: If you need to measure the length of a room, which is 5.2 meters, and you want to convert it to centimeters, how would you do it? To convert meters to centimeters, you need to multiply the length in meters by 100 (since there are 100 centimeters in a meter). This will give you the length in centimeters.
Tips and Tricks
Here are a few tips and tricks to help you solve problems involving fractions and decimals:
- Use a calculator: If you are unsure about how to perform a calculation involving fractions and decimals, use a calculator to check your answer.
- Break down the problem: If the problem seems complex, break it down into smaller parts and solve each part separately.
- Check your units: Make sure that your units are consistent throughout the calculation. For example, if you are calculating the length of a room in meters, make sure that you use meters throughout the calculation.
Conclusion
In conclusion, the number that is one hundredth less than 7.3 is 7.29. This problem helps us understand the concept of fractions and decimals and how to apply it in real-life situations. By following the tips and tricks provided, we can solve problems involving fractions and decimals with confidence.
Frequently Asked Questions
Q: What is one hundredth less than 7.3?
A: One hundredth less than 7.3 is 7.29.
Q: How do I calculate one hundredth less than a number?
A: To calculate one hundredth less than a number, you need to subtract 0.01 from the number.
Q: What are some real-life situations where I need to calculate fractions and decimals?
A: Some real-life situations where you need to calculate fractions and decimals include finance, science, and measurement.
Q: How do I convert meters to centimeters?
A: To convert meters to centimeters, you need to multiply the length in meters by 100.
Q: What are some tips and tricks to help me solve problems involving fractions and decimals?
A: Some tips and tricks to help you solve problems involving fractions and decimals include using a calculator, breaking down the problem, and checking your units.
Understanding Fractions and Decimals
Fractions and decimals are two ways to represent numbers that are not whole. Fractions are written as a ratio of two numbers, such as 1/2 or 3/4, while decimals are written as a point followed by digits, such as 0.5 or 0.75.
Q&A: Fractions and Decimals
Q: What is the difference between a fraction and a decimal?
A: A fraction is a ratio of two numbers, while a decimal is a way to represent a number that is not whole.
Q: How do I convert a fraction to a decimal?
A: To convert a fraction to a decimal, you need to divide the numerator (the top number) by the denominator (the bottom number). For example, to convert 1/2 to a decimal, you would divide 1 by 2, which equals 0.5.
Q: How do I convert a decimal to a fraction?
A: To convert a decimal to a fraction, you need to find the greatest common divisor (GCD) of the decimal and the denominator, and then divide the decimal by the GCD. For example, to convert 0.5 to a fraction, you would find the GCD of 0.5 and 1, which is 0.5, and then divide 0.5 by 0.5, which equals 1/2.
Q: What is the difference between a terminating decimal and a non-terminating decimal?
A: A terminating decimal is a decimal that ends, such as 0.5 or 0.25, while a non-terminating decimal is a decimal that does not end, such as 0.333... or 0.142857142857...
Q: How do I add fractions with different denominators?
A: To add fractions with different denominators, you need to find the least common multiple (LCM) of the denominators, and then convert each fraction to have the LCM as the denominator. For example, to add 1/2 and 1/3, you would find the LCM of 2 and 3, which is 6, and then convert each fraction to have 6 as the denominator. This would give you 3/6 + 2/6, which equals 5/6.
Q: How do I subtract fractions with different denominators?
A: To subtract fractions with different denominators, you need to find the least common multiple (LCM) of the denominators, and then convert each fraction to have the LCM as the denominator. For example, to subtract 1/2 and 1/3, you would find the LCM of 2 and 3, which is 6, and then convert each fraction to have 6 as the denominator. This would give you 3/6 - 2/6, which equals 1/6.
Q: How do I multiply fractions?
A: To multiply fractions, you need to multiply the numerators (the top numbers) and multiply the denominators (the bottom numbers). For example, to multiply 1/2 and 1/3, you would multiply 1 and 1, which equals 1, and multiply 2 and 3, which equals 6. This would give you 1/6.
Q: How do I divide fractions?
A: To divide fractions, you need to invert the second fraction (i.e. flip the numerator and denominator) and then multiply. For example, to divide 1/2 by 1/3, you would invert 1/3 to get 3/1, and then multiply 1/2 by 3/1. This would give you 3/2.
Conclusion
In conclusion, fractions and decimals are two ways to represent numbers that are not whole. Understanding how to convert between fractions and decimals, as well as how to add, subtract, multiply, and divide fractions, is essential for solving problems involving fractions and decimals.
Tips and Tricks
Here are a few tips and tricks to help you solve problems involving fractions and decimals:
- Use a calculator: If you are unsure about how to perform a calculation involving fractions and decimals, use a calculator to check your answer.
- Break down the problem: If the problem seems complex, break it down into smaller parts and solve each part separately.
- Check your units: Make sure that your units are consistent throughout the calculation. For example, if you are calculating the length of a room in meters, make sure that you use meters throughout the calculation.
Frequently Asked Questions
Q: What is the difference between a fraction and a decimal?
A: A fraction is a ratio of two numbers, while a decimal is a way to represent a number that is not whole.
Q: How do I convert a fraction to a decimal?
A: To convert a fraction to a decimal, you need to divide the numerator (the top number) by the denominator (the bottom number).
Q: How do I convert a decimal to a fraction?
A: To convert a decimal to a fraction, you need to find the greatest common divisor (GCD) of the decimal and the denominator, and then divide the decimal by the GCD.
Q: What is the difference between a terminating decimal and a non-terminating decimal?
A: A terminating decimal is a decimal that ends, while a non-terminating decimal is a decimal that does not end.
Q: How do I add fractions with different denominators?
A: To add fractions with different denominators, you need to find the least common multiple (LCM) of the denominators, and then convert each fraction to have the LCM as the denominator.
Q: How do I subtract fractions with different denominators?
A: To subtract fractions with different denominators, you need to find the least common multiple (LCM) of the denominators, and then convert each fraction to have the LCM as the denominator.
Q: How do I multiply fractions?
A: To multiply fractions, you need to multiply the numerators (the top numbers) and multiply the denominators (the bottom numbers).
Q: How do I divide fractions?
A: To divide fractions, you need to invert the second fraction (i.e. flip the numerator and denominator) and then multiply.