Small Numbers

1. Small Numbers

2. 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

3. What do I think I know? • Examples of where I see small numbers

4. 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

5. Whole Tenths Hundredths Thousandths

6. Extend the pattern 50 000 = 5 ten thousands 5 000 = 5 thousands 500 = 5 ____ 50 = 5 ____ 5 = 5 _____

7. Extend the Pattern 0.5 = 5 ______ 0.05 = 5 ______ 0.005 = 5 _______

8. 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"

9. 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!

12. Small Number Challenge • Create an EduCreations video on an iPadthat demonstrates your understanding of small numbers down to the thousandths place.

13. 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

14. 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.

15. 45.6 has 4 tens, 5 units and 6 tenths, like this:

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

17. 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? 1/10ths (Tenths) are!

18. But we must first write a decimal point, • so we know exactly where the Units position is • three hundred twenty seven and four tenths

20. 17.591 On the left of the decimal point is a whole number (17 for example) As we move further left, every place gets 10 times bigger.   The first digit on the right means tenths (1/10). As we move further right, every place gets 10 times smaller (one tenth as big).