Place Value Relationships with Decimals

Place Value

What is place value?

The value of where a digit is in a number!​

​Judging by what number sits in a certain place in either a decimal or whole number, it is a certain value or percentage in relation to the power of ten.

Place Value Introduction

Mathematics is Fun - YouTube

https://www.youtube.com/watch?v=fshyCNqHIbw​

Some text here about the topic of discussion

Open Ended

How far do you think place value cares to go, when it comes to numbers expressed as decimals?

All place values can be determined based on their relationship to the decimal point!

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Place Value Expressed

Draw

In the number 5.67, highlight the ones place in yellow, the tenths place in red, and the hundredths place in blue.

Fractions and Place Value

All place values in a number have a fraction equivalent.

That means, when expressed in terms of the tenth power, 0.03 would be 3/100, because the number 3 is in the hundredths place.

Line up numbers starting with the first in each number.

DON'T:

Line up each number according to their decimal point (if there is one).

DO:

Adding Numbers With Different Place Values

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Multiple Choice

Add 18.37 and 0.00629.

• 18.37629

• 18.37000629

• 18.037629

• 18.37.0.00629

Draw

How did you align the numbers from the previous slide before you added them?

Multiple Choice

Anne Boleyn is buying grain at the local market. She wants a total amount with an 8 in the hundredth-thousandths place, a 6 in the ones place, and with a 9 in the tenths place. How much grain will Anne Boleyn buy?

• 6.90008lbs

• 6.86936lbs

• 6.66978lbs

• 6.00918lbs

Poll

Which place is the easiest to round to, in your opinion?

• Tenths

• Hundredths

• Thousandths

• Ten-thousandths

Test Yourself!

Visit the attached link and complete using your iPad. Save as a PDF, with your first initial and last name in the file name, and submit when you're done.

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http://images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/OliveBranchInter/Uploads/DocumentsCategories/Documents/Chapter_1_1.pdf

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Be mindful of the position of decimal points when adding or subtracting numbers that have differences in place value. ​

Things to watch out for

Place value is how much a number is when looking at its position in the expressed number. Sometimes a number can use this in a statement known as its expanded form.

Things to remember

Conclusion