## HSE Prep

Mathematics

On this page you’ll find every lesson we’ve put out on the lovely topic of Math. We’ve broken all of our lessons into sections – scroll down to find the topic you want to work on.

## Working with Numbers

## Word Problems - Part 1

This week we are learning how you can **solve word problems. **Identifying and understanding keywords and the order of operations in a word problem is a critical step!

## Word Problems - Part 2

This lesson is the second part of a two part lesson that starts with Word Problems – Part 1. Make sure you watch that lesson before you jump into this one!

## Units of Measurement

This week’s lesson is all about measures – how we measure the length, width, height, and weight of something. As usual with Math, this is a skill you’ll find yourself using almost everyday of your life!

## Distance, Rate and Time

In this tutorial, we are Learning how to solve problems involving distance, rate, and time, and practice using the distance/rate/time formula.

## Decimals

A decimal is a number expressed in the scale of tens. Commonly speaking **we talk about decimals when numbers include a decimal point to represent a whole number plus a fraction of a whole number **(tenths, hundredths, etc.). A **decimal point** is a point or dot used to separate the whole part of a number from the fractional part of a number.

## Rounding Numbers

This week we are learning how to round the numbers, **Rounding **means making a **number** **simpler** but keeping its value close to what it was. The result is less accurate, but easier to use.

## Fractions

## Fractions

This week, we are learning about **Fractions**. A fraction represents** part of a whole**. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

## Equivalent Fractions

This week, we are learning about **equivalent fractions, **these can be defined as **fractions** with different numerators and denominators that represent the same value or proportion of the whole.

## Simplifying Fractions

This week, we are trying to understand how to simplify a fraction. To simplify a fraction, divide the top and bottom by the **highest number** that can divide into both numbers exactly.

## Adding Fractions

Let’s explore how can we add Fractions. Adding fractions is pretty simple as long as you start with like denominators.

## Subtracting Fractions

This week, lets understand how to subtract fractions. To do so, make sure the bottom numbers (the denominators) are the same. **Subtract** the top numbers (the numerators). Put the answer over the same denominator. Simplify the **fraction** (if needed).

## Multiplying Fractions

This week, we are looking at how to multiply fractions, multiplying fractions is simple and straightforward.

## Dividing Fractions

To **divide fractions** take the reciprocal (invert the **fraction**) of the divisor and multiply the dividend. This is the quickest technique for **dividing fractions**. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one.

## Exponents

## Exponents

This week we are talking about the Exponents. An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the **exponent**.

## Exponent Rules (Part 1)

In the previous tutorial, we learned about the Exponents. There are several laws of exponents (sometimes called “rules of exponents”) we can use to simplify expressions that include numbers or variables raised to a power. In this tutorial, we are learning these important rules of Exponents.

## Exponent Rules (Part 2)

In this part we are learning about** the Power** **Rule**, which is a property of exponents that basically states that for any value to an exponent, which is then all raised to another exponent, you can simply combine the exponents into one by just multiplying them.

## Exponent Rules (Part 3)

In this part we are learning about the Product Rule. The exponent rule for multiplying exponential terms together is called the **Product Rule**. The Product Rule states that when multiplying exponential terms together with the same base, you keep the **base the same and then add the exponents**.

## Exponent Rules (Part 4)

In this tutorial, we are looking at the Rule of one. This rule says, when an **exponent** is **1**, the base remains the same. First Any number raised to the power of “one” equals itself. This makes sense, because the power shows how many times the base is multiplied by itself.

## Exponent Rules (Part 5)

In this tutorial we are learning what is a **negative exponent, negative exponent helps to show that a base is on the denominator side of the fraction line**. In other words, the **negative exponent rule tells us that a number with a negative exponent should be put to the denominator**, and **vice versa**.