The Place Value Shuffle

Yep! Today we had fun learning about place value. Now we can understand and explain the value of digits.

What's a digit?

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What's place value?

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If you're looking for a place value song to sing for the next 3 months, here you go!

Place value, place value, movin' to the left...

I can dig that groovy beat.

That leads us to the Place Value Shuffle! 

Put on your dancin' shoes!

In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.

This chart shows the value of each digit in a large number. Each number value is 10 times greater than the number on its right.

Going the opposite direction… each digit is 1/10 of the digit on its left.

That's it! You've got it!

Moving on...

Next we talked about finding the value of a digit within a big number. To figure out the value you have to look at all of the numbers from right to left.  You start with the ones place and multiply by 10 for each digit to the left. A quick way to do this is to count the digits to the right of the number you are finding the value of. Then replace those digits with ZEROs.

We're finding the value of 9, so we can replace the digits to the right of 9 with 0s. The value of 9 in 196,528,347 is 90,000,000 or ninety million! Click here for a tutorial review of how to find a value of a digit.

For more Place Value fun, check out these games!

Mathman Digit Value Game

Place Value Card Game

Place Value Puzzler
Place Value Hockey

Keep up the great work!

Partial Products

 This week in Class Connect we are learning how to

 multiply multi-digit numbers using partial products.

 There are many ways to multiply multi-digit numbers. One way is my using a standard algorithm, or recipe. This week we talked about a newer method called The Partial Product Method. Partial products are used as intermediate steps in calculating larger products.  

Here is a video explaining how to solve a multiplication problem
using the Partial Product Method.

When solving problems like this, it's very important to write neatly and keep everything lined up. One trick is to use graph paper instead of lined paper. The grids help with lining numbers up before you add.

If you do not have your X Facts memorized, 5th grade math can take a long time to calculate. I would suggest printing the Multiplication Chart below and gluing it onto the inside of your back spiral cover. That way you can refer to it all year.

[click here for a printable X Chart]

 
Here are a few sites that may help with multiplication...

X GAMES!

Partial Product Jeopardy

The Amoeba Multiplication Game

multiplication.com

Timez Attack

 

Keep up the great work, kids!

Welcome!

 

 

 [click on any image for a closer look]