Showing posts with label 6th grade mathematics. Show all posts
Showing posts with label 6th grade mathematics. Show all posts

Saturday, July 19, 2014

Adding Money

Money Money Money

In our everyday lives we use money to buy so many things. But what we may not realize is that every time we make a purchase we are using math! In this lesson we will use a real life problem and learn how we add money in our everyday lives. So let's get going!


Toy Store

Bella has been saving and she now has a total of $250. She wants to go to the toy store and buy a new game for her X-Box that costs $36.50. While at the toy store, she saw a doll that her sister really wanted. She bought the doll for $24.57. She also bought a remote control car for her brother that cost her $15.99. What was the the total amount of money that Bella spent at the Toy Store? What was her change?

X-Box Game $36.50
Doll $24.57
RC Car $15.99

Total $77.06

$250 minus $77.06  equals  $172.94

That means that Bella spent a total of $77.06 and got $172.94 as her change!



Sheet 1 How to Add Money





Tuesday, July 15, 2014

Estimating Products and Quotients

Introduction

In one of our previous posts, we talked about estimating the sums and differences of numbers. Well, in this topic the concept is the same...estimation. The only difference is that we will be working with products and quotients. 

Just as a review...let's go over our key terms for this topic:

  • Estimation is just an educated 'math guess' we make in order to make numbers easier for us to calculate.
  • Products are just the answers to multiplication problems.
  • Quotients are just the answers to division problems.

Estimating Products...

Let's say that we have a problem such as the following:

  246
x  23
------

The first step is estimating. Let's estimate these numbers to the nearest tens place. 

246=250
23=20

The next step is just simple multiplication!

 250
x 20
------
5,000

So that means the estimated product for 246*23 equals 5,000.

Estimating Quotients...

Let's say that we have a problem such as the following:

435/8

Let's estimate the numbers to the nearest tens place so that our numbers are compatible with each other.
435=440
8=10

Now, just simply divide!

440/10
=44

That means that the estimated quotient for the problem 435/8 equals 44!

Now wasn't that a piece of pie!


 Sheet 1 How to Estimate Products and Quotients












Multiply 3 and 4 Digits by 3 Digits

Introduction

In this topic, you will learn how to multiply larger numbers with a greater amount of digits. This may seem to be a lot of work, but this is really great multiplication practice. So let's get multiplying!

Multiplying 3 digits by 3 digits...

Let's say that you have the problem 834x926. This is 3 digit by 3 digit multiplication. All you have to do is simple multiplication:

  834
x926
---------
772,284

Now that you know how to multiply a 3 digit number by a 3 digit number...Try multiplying a 4 digit number by a 3 digit number!

Multiplying 4 digits by 3 digits...

Let's say that you have a problem such as the following:

  4,869
x   798
 ------------
 3,885,462



 Sheet 1 How to Multiply 3 and 4 Digit Numbers by 3 Digit Numbers









Multiply 2, 3, and 4 Digits by 2 Digits

Introduction

Multiplication of 2, 3, and 4 digits by 2 digits...such a long title. But long story short, it's just simple multiplication. The only thing you need to be careful about is the number of digits in the numbers. Besides that, this is just a piece of cake!

Multiply 2 digits by 2 digits...

Let's say that you have a problem such as 24x46. This is a 2 digit by 2 digit problem. In order to do this, just multiply:

24x46=1104.
So, the product of 24x46=1104.
Now wasn't that a piece of cake!

Multiply 3 digits by 2 digits...

Let' say that you have a problem such as 792x67. This is a 3 digit by 2 digit problem. I know the numbers are larger but as long as you know the method, it should be easy!

792x67=53,064

Multiply 4 digits by 2 digits...

Just like we multiplied a 2 digit and 3 digit number by a 2 digit number, this is similar.

6,829x56=382,424

I hope you guys understood this topic. Stay around for further lessons and Good Luck!



Sheet 1 Multiplying 2, 3, and 4 Digit Numbers by 2 Digit Numbers







Adding through 6-Digit Numbers

Introduction

Adding through 6-Digit Numbers is a very easy topic. Actually, it is a very very easy topic because all you have to do is do simple addition. The only thing you need to be careful about is that in this topic you will be adding a 6-Digit Number by another 6-Digit Number. So let's get started!

Adding 6-Digit Numbers

Let's say that we have a problem such as the following:

  245,793
+348,927
The only step for this topic is addition!

  245,793
+348,927
-----------
  594,720

So, the sum of 245,793 and 348,927 equals 594,720!

That was really easy, right?!

Now try some of the following problems for extra practice!




 Sheet 1 Adding through 6-Digit Digits