Subjects & Predicates with Sherlock

The Power of Ten

Using exponents is an efficient way to write numbers that have a few too many zeeeeeros.

The exponent (or power) tells us how many zeros are in the number when the base number is 10.

The image below has a place for everything with everything in its place. The base can be any whole number, but today we are only focusing on the POWERS of TEN!

Here are the vocabulary words for this lesson: 

powers of ten

base number 

exponent

Click the image below for a catchy Powers of 10 song! 

Powers of 10 Song Lyrics:

Chorus

To find the power of ten

Look at the exponent

Take your pencil and then

and write that many zeros, let’s do it again

To find a power of ten

Look at the exponent

Take your pencil and then

Multiply that many tens

The base number is 10

2 is the exponent

10 to the second means 10 x 10

This power of ten is 100

Again the base number is 10

but now 3 is the exponent

it equals 10 x 10 x 10

The third power ten is 1000

The base number is 10

4 is the exponent

it's 10 x 10 x 10 x 10

The fourth power is 10,000

Again the base number is 10

5 is the exponent

write five tens and multiply them

and you’ll get 100,000

With a power of ten we can multiply or divide

Dividing slides left, multiplying slides right

The powers the number of places…

Slide the point that number of spaces

One hundred five and nine thousandths

Times ten to the third, the three represents

The decimal point sliding right three times,

The products one hundred five thousand, nine.

Now let’s divide by ten to the third

Slide three places left, or in other words

This number is now one thousand times less -

POWERS OF TEN ARE THE BEST

Using powers of ten is the norm

When writing numbers in expanded form

Split the values apart bit by bit

To see the value of every digit.

Order of Operations

This week in math we're learning about the Order of Operations.

Numbers 

and Operations

in a Formation...

Watch this video and you'll see what I mean!

Do NOT blame me if that song is stuck in your head until 2023.

Many things in math are not up for interpretation. We need to agree on certain math rules in order for  for humans to calculate numbers and communicate accurately.

For example, if you are ordering new carpet and the guy at Carl's Carpet Center asks you what the square footage of your bedroom is, you should both have an understanding of area. If you calculate differently, you may end up with too much or not enough lime green wool shag. (I had lime green shag carpet in my bedroom when I was your age, so don't laugh.)

"The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division. 

This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below." (algebrahelp.com)

What's the difference between parentheses and brackets?

Sometimes parentheses are called "round brackets" because of their shape.

( )

Square brackets remind me of staples that hold the numbers together.

[ ]

When dealing with parentheses and brackets...

For more information, games and other resources, click the links below!

Cool Math

Khan Academy

Dad's Worksheets

Order of Operations Game 

Watch this video for a review!