Mathematics for Work and Everyday Life (2024)

Mathematics for Work and Everyday Life (1)

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10.9% of workers in Ontario earn minimum wage.

From the video, you can see that there are many ways that a worker's salary can be calculated. The different ways that an employer can calculate a worker's pay are known as remuneration methods. The two most common types of remuneration are: hourly wage and commission.

Hourly Wage

Nicki's job at the town office is paid by hourly wage.

When a worker is paid by hourly wage, it means they receive a set amount of money for every hour they work. The amount that a worker will get paid is decided by the employer, but it must at least meet the minimum wage set by the province. In Ontario, the general minimum wage was $11.40 per hour, however, the minimum wage can be different for students and some occupations.

A chart showing the different levels for the minimum wage is available here.

There are several ways to calculate hourly wage. Look at the two ways shown below and decide which one you would prefer to use.

Hourly Wage Problem

Dean stocks shelves at the grocery store and earns $11.40/hour. He worked 32 hours this week. Calculate his weekly pay.

Answer

Method #1

We know that Dean makes $11.40 per hour. This is known as a unit rate. To get his weekly income, we multiply his hourly wage by the number of hours he worked.

Pay = hourly rate x number of hours worked

Pay = $11.40/hr x 32 hrs

Pay = $364.80

Method #2: Ratio Table

A ratio table is a table where equivalent ratios or rates fill the columns. We can write the hourly wage as the first ratio in the table. Next, we write the

Mathematics for Work and Everyday Life (2)

To get from one column to another, we multiply or divide both terms by the same amount.

Mathematics for Work and Everyday Life (3)

Material based on Gap Closing Resources (EduGAINS)

Previous Next

Write a note identifyingwhich of the methods for calculating hourly rate you would prefer to use and why.

Overtime

In Ontario, any worker who works more than 44 hours in a week must be paid overtime. The overtime rate must be at least 1.5 times the regular hourly rate. This is usually referred to as "time and a half."

Mathematics for Work and Everyday Life (6) Overtime Problem

Mathematics for Work and Everyday Life (7)

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Yves works as a forklift operator and he ispaid $14.75/hr. He worked 48 hours this week. Assuming 1.5 overtime rate, calculate his weekly earnings.

Answer

When calculating overtime, you can start by finding out how many overtime hours were worked. Since any hours worked over 44 is considered overtime, you subtract this number from the total hours worked to get overtime.

The first 44 hours of work can be calculated normally.

Pay = hourly rate x number of hours worked

Pay = $14.75/hr x 44 hrs

Pay = $649.00

Overtime = total hours worked - 44

Overtime = 48 - 44

Overtime = 4 hrs

Overtime rate is calculated by multiplying the hourly wage by 1.5.

Pay = hourly rate x number of hours worked

Pay = $14.75/hr x 1.5 x 4 hrs

Pay = $88.50

Finally, you add the regular pay and the overtime pay to get total earnings.

Total Pay = Regular Pay + Overtime Pay

Total Pay = $649.00 + $88.50

Total Pay = $737.50

Mathematics for Work and Everyday Life (8) Practice

Determine the weekly earnings for each worker. Assume that overtime is paid at "time and a half."

Mathematics for Work and Everyday Life (9) Question

Christine is a cashier and earns $11.40/hour. She worked 36 hours this week.

Answer

Christine would earn $410.40.

Mathematics for Work and Everyday Life (10) Question

Tracy is a server in a restaurant and earns $9.90/hour. She work 40 hours this week. (Be sure to check the website above to understand why Tracy is only paid $9.90/hour)

Answer

Tracy would earn $396.00.

Mathematics for Work and Everyday Life (11) Question

Gurpreet works for a snow removal company and earns $15.80/hour. He worked 50 hours this week.

Answer

Gurpreet would earn $837.40.

Tip

Having difficulties solving these problems? Check your work by viewing the following video.

Commission

Joe's job at the car dealership is an example of commission.

Instead of being paid an hourly rate, some sales positions pay their workers a portion of the value of all of the products they sell. This is referred to as a commission.

Some workers earn all their pay from commission. This is called straight commission. Others earn their pay through a combination of salary and commission. This is referred to as salary plus commission.

Commission is expressed as a percent.

Mathematics for Work and Everyday Life (12)

You will see percentages written with the % sign (eg. a five percent commission would be written as 5%). Since a percent is a ratio where the second term is 100, you could also represent a five percent commission as a ratio 5:100, a decimal 0.05 or a fraction 5/100.

You can calculate the pay of someone earning a straight commission by using a fraction, decimal or ratio table. Look at all three ways shown below and decide which one you would prefer to use.

Commission Problem

Sam works as a salesperson in aclothing store and earns $200 per week plus 8% commission. Sam's sales total for this week were $6500.

Answer

Using a Fraction or a Percent

To start, we need to calculate 8% of the total sales ($6500).
8% can also be written as a fraction 8/100

So,
$6500 x 8/100=$520.00

To get total income, add the commission to the weekly salary

$200.00 + $520.00=$720.00

Sam's total salary is $720.00.

Using a Decimal

To start, we need to calculate 8% of the total sales ($6500).
8% can also be written as a decimal 0.08.

So,
$6500 x 0.08=$520.00

To get total income, add the commission to the weekly salary

$200.00 + $520.00=$720.00

Sam's total salary is $720.00.

Using a Proportion

To start, we need to calculate 8% of the total sales ($6500).
8% can also be written as a ratio 8:100

We can solve by writing an equivalent ratio.

8:100 = x: 6500, we divide 6500 by 100 to see what we multiplied 100 by to get 65. Then we multiply 8 by that same amount.
6500÷ 100=65
8 x 65=520

To get total income, add the commission to the weekly salary

$200.00 + $520.00=$720.00

Sam's total salary is $720.00.

Previous Next

In a short paragraph, explain which of the methods for calculating commission you would prefer to use and why.

Mathematics for Work and Everyday Life (15) Practice

Determine the weekly earnings for each worker.

Mathematics for Work and Everyday Life (16) Question

Carl works as a salesperson in an appliance store and earns $300 per week plus 8% commission. His sales total for this week were $7800.

Answer

Carl would earn $924.00.

Mathematics for Work and Everyday Life (17) Question

Gurvir earns 6% straight commission as a real estate agent. She was involved in the sale of a home this week that sold for $330 000.

Answer

Gurvir would earn $19 800.00.

Tip

Having difficulties solving these problems? Check your work by viewing the following video.

Other Remuneration Methods

Although hourly rate and commission are the most common remuneration methods, there are other ways that people can be paid.

Gratuities - commonly known as 'tips', gratuities are an optional amount of money paid by customers. Servers in the food and beverage industry rely on gratuities as part of their income. Emily's job as as a server in the bakery relies on gratuities as an important part of her pay.

Job or Project Rate - Self-employed workers will often negotiate a price for a whole job, instead of charging an hourly rate.

Piece Work - Piece work is any type of employment in which a worker is paid a fixed piece rate for each unit produced or action performed regardless of time. For example, in a telemarketing job the employee is paid by the number of made or completed calls. If the employee makes 40 calls, the employee will make twice as much money as the employee who makes 20 calls in a day.

Gratuities, or 'tips', are an important part of a server's salary.

Mathematics for Work and Everyday Life (2024)

FAQs

What is mathematics for work and everyday life? ›

You will investigate questions involving the use of statistics; apply the concept of probability involving familiar situations; investigate accommodations costs, create household budgets and prepare a personal income tax return; use proportional reasoning; estimate and measure; and apply geometric concepts to create ...

What math do you use in everyday life? ›

How do we use math in everyday life? For the most part, math in the real world utilizes elementary and middle school math. For example, balancing a checkbook, household budgeting, comparing prices, making change for a customer, and calculating square footage all involve basic math skills.

How does mathematics help in daily life? ›

Using mathematics, we can identify relationships, comprehend patterns, and make future predictions. Mathematics is thought to be the basis of everything from money, buildings, and roads to the internet, food production, and even hospitals. It helps us carry out a variety of important daily tasks.

What is mel 3e? ›

Grade: 11. Type: Workplace Preparation. Language of Study: English.

What career uses math daily? ›

Carpenters need arithmetic, algebra and geometry to measure and adjust materials. Electricians use fractions, percentages and decimals when figuring out room dimensions and wiring lengths. Then there are tilers, who use geometry to solve maths problems, such as how many tiles they'll need to complete a job.

How is mathematics an important part of the work life? ›

Mathematical knowledge is very important in STEM jobs and in many other jobs. For example, people who deal with money need math skills. These jobs include people who work in banks, stores, and businesses. Workers who build or fix things use math in their jobs.

What math is used most in real life? ›

Some of the most common branches of math include trigonometry, calculus, algebra, geometry, and statistics. From these areas of study stem equations that can be used to explore and even construct the world for the betterment of mankind.

Do you need math for every job? ›

Yes, you can have a career that doesn't require math, but for many high-paying careers, you still may have to take math courses during your education. Any position in the medical or scientific field will probably require math even if you won't be working with numbers as a part of your regular duties.

What are the five reasons why mathematics is important? ›

Here's why.
  • Math promotes healthy brain function. ...
  • Math improves problem-solving skills. ...
  • Math supports logical reasoning and analytical thinking. ...
  • Math develops flexible thinking and creativity. ...
  • Math opens up many different career paths. ...
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Sep 23, 2022

How is mathematics used in today's world? ›

Some of the most common applications of mathematical expertise in the modern world are in business, finance, and engineering. In business, mathematical expertise can be used to calculate financial ratios and statements, to analyse data, and to make predict future financial trends.

How can mathematics be easy and interesting for me? ›

Answer: To make math easy and interesting, focus on real-life applications, use interactive tools and games, visualize concepts with diagrams, engage in hands-on activities, collaborate with peers, personalize learning, celebrate achievements, break down complex problems, practice regularly, and seek help when needed.

What role does mathematics play in your life in the world? ›

It teaches us to analyze data, identify patterns, and develop creative solutions to complex problems. These skills are essential in today's fast-paced, data-driven world and are highly valued in many industries, including finance, healthcare, and technology.

What is Mel good for? ›

MEL is the systematic approach to the use and collection of data to monitor, evaluate and continuously learn and adapt an initiative throughout its implementation.

What is Mel used for? ›

Definitions. A minimum equipment list (MEL) is a list which provides for the operation of aircraft, subject to specified conditions, with particular equipment inoperative (which is) prepared by an operator in conformity with, or more restrictive than, the MMEL established for the aircraft type.

What is the mel plan? ›

Activity Monitoring, Evaluation and Learning (MEL) Plan | Program Update | U.S. Agency for International Development.

What is the use of mathematics at work? ›

Maths skills are essential for identifying and solving problems in all workplaces, no matter if you work in customer service, construction, marketing, or any other sector. We often need to analyse complex situations, break them down into manageable parts, and apply mathematical reasoning to find solutions.

What is the life and work of a mathematician? ›

Mathematicians generally work in theoretical mathematics or applied mathematics, and their daily routine is determined by which of these specialties they've chosen. Theoretical mathematicians work with mathematical theory in research and academic settings, rarely with a practical application in mind.

What are the real life activities of math? ›

How is maths used in everyday life?
  • Managing money and budgeting.
  • Shopping.
  • Following recipes and making food.
  • Working out distance for travel to school, work and beyond.
  • Working out how long you have to get ready for school.
  • Understanding sports results and statistics.
  • Playing an instrument.
  • Crafts such as sewing.

What is a math calculation you frequently encounter in your daily life? ›

You use basic addition and subtraction when you buy groceries. When you leave a tip, you calculate percentages. You use more complex equations involving fractions and percentages when you create a monthly budget. Investments, mortgages, car loans and credit cards all require some understanding of compound interest.

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