Question
1.2 Convert the following fraction to decimals and leave answer to TWO decimal places. \( 1.2 .1 \quad-\frac{22.4365}{10} \) 1.2 .2 \( \frac{22}{7} \quad \) (1)
Ask by Garrett Malone. in South Africa
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-\frac{22.4365}{10} \approx -2.24\) and \(\frac{22}{7} \approx 3.14\).
Solution
**Step 1.2.1**
We are given the fraction
\[
-\frac{22.4365}{10}.
\]
1. Divide the numerator by \(10\):
\[
-\frac{22.4365}{10} = -2.24365.
\]
2. Round \(-2.24365\) to two decimal places. Look at the third decimal digit (which is \(3\)). Since \(3 < 5\), the second decimal place remains unchanged:
\[
-2.24365 \approx -2.24.
\]
**Step 1.2.2**
We are given the fraction
\[
\frac{22}{7}.
\]
1. Compute the decimal form:
\[
\frac{22}{7} \approx 3.142857\ldots
\]
2. Round this result to two decimal places. Look at the third decimal digit (which is \(2\)); since \(2 < 5\), the second decimal place remains:
\[
3.142857\ldots \approx 3.14.
\]
**Final Answers**
- \( -\frac{22.4365}{10} \approx -2.24 \)
- \( \frac{22}{7} \approx 3.14 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To convert \(-\frac{22.4365}{10}\) to a decimal, simply divide 22.4365 by 10, which yields \(-2.24365\). When rounding to two decimal places, you take the first three decimal digits (4, 3, and 6) into consideration. The second decimal (4) tells you to round down, giving you an answer of \(-2.24\). For \(\frac{22}{7}\), you perform the division to get approximately 3.142857. When rounded to two decimal places, since the second decimal position (4) is lower than 5, you round down, leaving you with an answer of \(3.14\).
