Math Class 10: Operations & Inverse

Questions and Answers

What is the multiplicative inverse of $3\frac{1}{4}$?

$\frac{-4}{13}$

$\frac{4}{13}$

$\frac{1}{3\frac{1}{4}}$

$\frac{4}{3}$ (correct)

To achieve an average of $\frac{1}{2}$ among three fractions, what fraction must be added to $\frac{1}{4}$ and $\frac{1}{3}$?

$\frac{1}{3}$

$\frac{1}{12}$

$\frac{1}{2}$

$\frac{1}{6}$ (correct)

How many steps would you take to cover 360 meters if each step is 1 meter long?

360 (correct)

300

540

180

If a car used 10 liters from a full tank, and it was found to be only $\frac{2}{5}$ full, what is the capacity of the tank?

<p>40 liters</p> Signup and view all the answers

How many candies did Jay originally have if Jocel received 4 candies?

<p>20</p> Signup and view all the answers

Study Notes

Operations and Calculations

Complete operations indicated in items 6 to 10, showing all steps for clarity.
Emphasize the importance of showing complete solutions for effective learning.

Multiplicative Inverses

Understand multiplicative inverse as a value that, when multiplied by the original number, results in one.
Examples:
- For $3\frac{1}{4}$, find the inverse.
- For $-2.4$, identify the multiplicative counterpart.
- For negative fractions such as $-(-\frac{8}{5})$, determine the inverse.
- For repeating decimals like 0.242424..., ascertain the multiplicative inverse.
- Explore how to express $2\frac{1}{2}%$ in inverse form.

Problem Solving Techniques

Approach to determine what number equals a given fraction.
Calculate the fraction needed to average three specific fractions.
Methodology to evaluate how much a fraction of 60 exceeds a fraction of 50.
Real-world problem solving involving capacity; if 10 liters have been used from a full tank, solve for the total tank capacity.
Use step calculation for distance: if each step is a given length, calculate the total steps needed to cover a distance of 360 meters.
Solve a scenario involving distribution of candies to deduce the original quantity Jay had based on the final amount Jocel received.

Skills Development

Emphasize showing complete solutions encourages better understanding and retention.
Highlight the significance of real-world applications in mathematical problems to enhance interest and relevance.

Description

This quiz focuses on performing various mathematical operations and finding the multiplicative inverse of given numbers. Complete all exercises and show your detailed solutions on long bond paper. Test your understanding of multiplication and inverses in this engaging math assignment.