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The 9 is in the hundredths spot. 9 X 1/100 = 0.09
Value of a Digit What is the digit in question worth? If it’s a three in the tenths place it’s worth three tenths or Write the answer in numerical form. The value of the 9 in is 0.09. Practice: Find the value of the underlined numbers. 32.893 4.075 63.867 1.004 The 9 is in the hundredths spot. 9 X 1/100 = 0.09

= 0.003 4.075 = 0.07 = 0.8 1.004 = 0.004

Writing Decimals Using Expanded Form
22.17 in expanded form is Find the value of each digit and write it one at a time with an addition sign between each one. Practice: Write the following numbers in regular expanded form. If you were to add those numbers up you would get 22.17

Writing Decimals Using Expanded Form Answers
= = = =

Expanded Form Using Multiplication
Now that you can do regular expanded form, let’s take it a step further. Take each number and decide what you need to multiply by the base number to make it using multiplication. Practice: Write the following numbers in expanded form multiplication. 9.185 in expanded form multiplication is (9 X 1) + (1 X 1/10) + (8 X 1/100) + (5 X 1/1000) If you were to multiply what’s in each of the parenthesis and add the products together you would get a sum of

= (6 X 10) + (2 X 1) + (7 X 1/10) + (8 x 1/100) + (3 X 1/1000) = (6 X 1) + (5 X 1/10) + (3 X 1/1000) = (1 X 1/10) + (8 X 1/100) + (5 X 1/1000) = (4 X 1) + (8 X 1/10) + (2 X 1/100) + (5 X 1/1000)

Rounding Decimals Round the number below to the nearest hundredths place. 3.241 Locate the number you’re asked to round to. You’ll have to know place value (location) for this. Then, look to the right. My students like to say, “Five and up bump it up. Four and below let it go.” That saying means if the number to the right is a five or higher you bump the number up one digit. If it’s a four or less, you don’t do anything to it. Leave it alone. The Answer is or 3.24 Practice: Round the following numbers to the hundredths place. The four is in the hundredths place. The one to the right says, “Leave it alone.” So, it stays a 4. All the numbers to the left of the hundredths place remain the same. The numbers to the right of the hundredths place become zeroes.

= or 7.63 = or 12.33 = or 30 = or 51.07

Finding the Place Value of the Digit (Aka Location)
In class we did a cheer. We said, “Ones, tenths, hundredths, thousandths.” Practice: Name the location of the underlined digit. 1 2 3 The 2 is in the hundredths place.

Finding the Place Value of the Digit (Aka Location) Answers
= thousandths = tenths = hundredths = hundredths

Writing Numbers in Word Form
The number 456 is four hundred fifty-six. The last spot is thousandths, so my last word is thousandths. Read the numbers to the left of the decimal how you would normally read them. When you see the decimal say, “AND.” Read the numbers to the right of the decimal as a group. Then say the last spot’s name. 12.456 is twelve AND four hundred fifty-six thousandths Practice: Write the following numbers in word form. “Last spot last word!”

Writing Numbers in Word Form Answers
= sixty-seven and fifteen thousandths = five hundred twenty-two and four hundredths = seven hundred seventy-one and seven hundred seventy-one thousandths = eighty-four and ninety-seven hundredths

7.2 7.02 Comparing Decimals 7.2 7.02 >
> “The alligator eats the biggest number.” 7.2 7.02 The number one tip I can give you is to line your decimals up then compare the numbers to determine which number is bigger or smaller. Practice: Compare the two numbers using <, >, or =. They both have sevens, but the tenths place is different. Two is bigger than zero, so 7.2 is the bigger number.

< > = >

Creating a Base Ten Block Display of a Decimal
You need to be able to recreate a base ten block (10 X 10). 58 of the 100 blocks are shaded, so 0.58 is shaded.

Vocabulary to Know Standard Form – A way to write numbers by using the digits 0 – 9, with each digit having a place value. E.g., 456 Expanded Form – A way to write numbers by showing the value of each digit. E.g., 832 = Word Form – A way to write numbers in standard English. E.g., 4,829 = four thousand eight hundred twenty-nine Digit – Any one of the ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 used to write numbers.