Q26632- What is the decimal form of 7/16 ? Round to the nearest hundredth.
A) 0.26
B) 0.44
C) 0.48
D) 0.56
with dimens
The Correct Answer and Explanation is :
To convert the fraction ( \frac{7}{16} ) into decimal form, you can divide the numerator (7) by the denominator (16). Performing this division:
[
7 \div 16 = 0.4375
]
Next, we need to round this decimal to the nearest hundredth. The hundredths place is the second digit to the right of the decimal point. In our case:
- The tenths place is (4) (the first digit after the decimal point).
- The hundredths place is (3) (the second digit after the decimal point).
- The digit in the thousandths place (which determines how we round) is (7) (the third digit after the decimal point).
According to rounding rules:
- If the digit in the thousandths place is 5 or higher, we round up the digit in the hundredths place by 1.
- If the digit in the thousandths place is less than 5, we leave the digit in the hundredths place unchanged.
Since the digit in the thousandths place (7) is greater than 5, we round up the (3) in the hundredths place by 1. Therefore:
[
3 + 1 = 4
]
Thus, rounding (0.4375) to the nearest hundredth gives us:
[
0.44
]
Now, let’s consider the answer choices provided:
A) 0.26
B) 0.44
C) 0.48
D) 0.56
The correct answer is B) 0.44.
In summary, to convert the fraction ( \frac{7}{16} ) to decimal form, we performed the division ( 7 \div 16 ) to get (0.4375). We then rounded it to the nearest hundredth, resulting in (0.44). This method of converting fractions to decimals and rounding is a fundamental skill in mathematics, useful for various applications, including measurements, financial calculations, and data analysis. Understanding this process enhances numerical literacy and facilitates accurate interpretations of quantitative information.