Question

A bakery measured the mass of a whole cake as 0.870 kg. A customer bought one slice of the cake and measured the mass of the slice as 0.1151 kg. What is the mass of the remaining cake, without the one slice? Express your answer in kilograms using the appropriate number of significant figures.

Answer 1

The mass of the remaining cake is 0.755 kg.

FURTHER EXPLANATION

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:

$mass \ of \ remaining \ cake \ = mass \ of \ whole \ cake \ - \ mass \ of \ one \ slice$

Sorting the given and plugging them into the equation would give:

$mass \ of \ remaining \ cake \ = 0.870 \ kg - 0.1151 \ kg\\\\\\\boxed {mass \ of \ remaining \ cake = 0.7549 \ kg}$

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:

Significant Figures: Addition and Subtraction

The final answer must have the same number of decimal places as the given with the least number of decimal places.

Significant Figures: Multiplication and Division

The final answer must have the same number of significant figures as the given with the least number of significant figures.

Significant Figures: Rounding Off Rules

1. If the last digit is followed by 1 to 4, it will be unchanged and the other digits dropped. (Example: 1.234 is rounded to 1.2)
2. If the last digit is followed by 6 to 9, then it will be increased by one and the other digits dropped. (Example: 1.264 is rounded to 1.3)
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: 1.450 is rounded to 1.4; 1.550 is rounded to 1.6)
• and 5 is followed by nonzero digits, the last digit is increased by 1. (Example 8.7517 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 (0.7549 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:

$\boxed {\boxed {mass \ of \ remaining \ cake \ = 0.755 \ kg}}$

Learn More

• Place Values brainly.com/question/4824362
• Significant Figures brainly.com/question/4824362

Keywords: Rounding Off, Significant Figures

Answer 2

The mass of the remaining cake is $\boxed{0.755{\text{ kilogram}}}.$

Further explanation:

Given:

Mass of the whole cake is $0.870{\text{ kg}}.$

The mass of the slice is $0.1151{\text{ kg}}.$

Explanation:

The given mass of the whole cake is $0.870{\text{ kg}}.$

The given mass of the slice is $0.1151{\text{ kg}}.$

The mass of the remaining cake can be obtained as follows,

$\boxed{{\text{Mass of remaining cake}} = {\text{Mass of whole cake}} - {\text{Mass of one slice}}}$

Substitute 0.870 for whole mass of cake and 0.1151 for mass of one slice.

$\begin{aligned}{\text{Mass of remaining cake}} &= {\text{Mass of whole cake}} - {\text{Mass of one slice}}\\&= 0.870 - 0.1151\\&= 0.7459\\&= 0.755\\\end{aligned}$

The mass of the cake in three significant figure is $0.755{\text{ kg}}.$

Hence, the mass of the remaining cake is $\boxed{0.755{\text{ kilogram}}}.$

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Significant Figures

Keywords: significant figures, mass, cake, slice, bakery, measured, whole cake, customer, bought one slice, one slice, mass of slice, 0.1151 kg, mass of cake 0.870, remaining cake, kilograms, remaining mass of cake.