9 times as much as 7 tenths
The correct answer and explanation is:
Correct Answer: 6.3
To solve 9 times as much as 7 tenths, follow these steps:
Step-by-Step Calculation:
- Understand what “7 tenths” means.
Seven tenths is written as a fraction: 710\frac{7}{10} - Multiply this fraction by 9: 9×710=63109 \times \frac{7}{10} = \frac{63}{10}
- Convert the fraction to a decimal: 6310=6.3\frac{63}{10} = 6.3
So, 9 times as much as 7 tenths is 6.3.
Explanation (300 words):
The phrase “9 times as much as 7 tenths” is a multiplication problem. It is asking for the product of 9 and 7 tenths. Understanding this type of mathematical statement involves interpreting both the numbers and the operation.
“Seven tenths” is a way of expressing a part of a whole. It is a fraction where 7 is the numerator (the part) and 10 is the denominator (the whole). In decimal form, 7 tenths is 0.7. Fractions and decimals are just different ways of showing the same value.
Multiplying a whole number by a fraction can be done by multiplying the whole number by the numerator, then dividing by the denominator. In this case, multiplying 9 by 7 gives 63. Dividing 63 by 10 gives 6.3. Alternatively, you could multiply the decimal form 0.7 by 9 directly to get the same result.
This type of problem is common in real-world situations. For example, if one unit of something costs 0.7 dollars, then 9 units would cost 6.3 dollars. It shows how repeated parts can be scaled up through multiplication.
Understanding multiplication with fractions or decimals builds a strong foundation for more advanced mathematics. It also helps in interpreting word problems, measurements, and proportions. This skill is not only essential in academics but also practical in everyday tasks like shopping, cooking, or budgeting.
Therefore, the correct answer is 6.3, which is the result of multiplying 9 by 7 tenths.