small numbers. learning goal lg: demonstrate an understanding of place value, including numbers that...

Small Numbers

Learning Goal

• LG: Demonstrate an understanding of place value, including numbers that are:• less than one thousandth

• Kid friendly: show that you can name the place value of numbers up to three spots after the decimal point

• What do I think I know?

• Examples of where I see small numbers

Whole, Tenths, Hundredths, Thousandths

• Decimals and fractions are always pieces of a whole

• The first spot after the decimal is called the tenths. This means the whole has been divided into 10 pieces.

• Hundredths have been divided into 100 pieces• Thousandths have been divided into 1000

pieces

Whole Tenths

Hundredths Thousandths

Extend the pattern

50 000 = 5 ten thousands

5 000 = 5 thousands

500 = 5 ____

50 = 5 ____

5 = 5 _____

Extend the Pattern

0.5 = 5 ______

0.05 = 5 ______

0.005 = 5 _______

Ways to Think of Decimals

• You could think of a decimal number as a whole number plus tenths, hundredths, etc:

• Example 1: What is 2.3 ?• On the left side is "2", that is the whole number

part.• The 3 is in the "tenths" position, meaning "3

tenths", or 3/10• So, 2.3 is "2 and 3 tenths"

Practice – What’s your partner’s number?

The goal of this game is to create a small number (either to the tenths, hundredths, or thousandths) that your partner will try to figure out. They are allowed to ask you 15 yes or no questions.• Step One: Decide if your number will go to one, two or three

blanks after the decimal point. • Step Two: Roll the dice to fill in each blank space. • Step Three: Write the number underneath with commas in

the right spot. Make sure to keep the number hidden from your partner!

• Step Four: Tell your partner you are ready and then answer all of their questions truthfully

• Step Five: When your partner guesses the number correctly they need to say it out loud, write it as a number, write it as a fraction and write it in word form. Now switch places!

Small Number Challenge

• Create an EduCreations video on an iPad that demonstrates your understanding of small numbers down to the thousandths place.

How?

• Instructions: Choose a number that has three place value spots before a decimal point and three place value points after the decimal– For example: 789. 123

• You must represent this number in several ways in your video– Speaking the number out loud– Writing the number in word form– Writing the number in number form– Drawing or creating an image that shows your number– Show your number using base ten blocks– Explain what you are doing the entire time

• First, let's have an example:• Here is the number "forty-five and six-tenths"

written as a decimal number:

• The decimal point goes between units and tenths.

• 45.6 has 4 tens, 5 units and 6 tenths, like this:

As we move left, each position is 10 times bigger! Example: Hundreds are 10 times bigger than Tens

• As we move right, each position is 10 times smaller.

• From Hundreds, to Tens, to Units

But what if we continue past Units?What is 10 times smaller than Units?1/10 ths (Tenths) are!

• But we must first write a decimal point,• so we know exactly where the Units position is

• three hundred twenty seven and four tenths

• 17.591•

On the left of the decimal point is awhole number (17 for example)As we move further left, every place gets 10 times bigger.

The first digit on the right meanstenths (1/10).

As we move further right, every place gets 10 times smaller (one tenth as big).