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<h2>The mass of the remaining cake is 0.755 kg.</h2><h3 /><h3>FURTHER EXPLANATION</h3>
The mass of the remaining cake can be obtained straightforwardly by getting the difference of the masses of the whole cake and the cake slice:
Sorting the given and plugging them into the equation would give:
The problem requires that the answer be expressed with the correct number of significant figures. To do so, recall the rules for determining the number of significant figures needed:
<h3>Significant Figures: Addition and Subtraction </h3>The final answer must have the same number of decimal places as the given with the least number of decimal places.
<h3>Significant Figures: Multiplication and Division</h3>The final answer must have the same number of significant figures as the given with the least number of significant figures.
<h3>Significant Figures: Rounding Off Rules</h3>- If the last digit is followed by 1 to 4, it will be unchanged and the other digits dropped. (Example: 1.<u>2</u>34 is rounded to 1.2)
- If the last digit is followed by 6 to 9, then it will be increased by one and the other digits dropped. (Example: 1.<u>2</u>64 is rounded to 1.3)
- If the last digit is followed by 5:
- and 5 is followed by zeros or no digit at all, the last digit will be unchanged if it is even or will increase by one if it is odd. (Example: 1.<u>4</u>50 is rounded to 1.4; 1.<u>5</u>50 is rounded to 1.6)
- and 5 is followed by nonzero digits, the last digit is increased by 1. (Example 8.<u>7</u>517 is rounded to 8.8)
Based on the rules above, the final answer to this problem must have 3 decimal places since the given with the least number of decimal places has 3 (0.870 kg). The last digit is 4 (0.75<u>4</u>9 kg) and is followed by the digit 9, hence, it will be increased by one. Based on the rounding rule, the final answer must be:
- Place Values brainly.com/question/4824362
- Significant Figures brainly.com/question/4824362