Decimal Models
If an area model is divided into 10 equal columns and 2 are shaded, what is the decimal?
.2
Write 4/10 as a decimal.
.4
What is the decimal for a number that has 1 tenth and 6 hundredths?
.16
How many hundredths are equal to 0.3?
30 hundredths or .30
Bananas weigh 0.34 kg and bread weighs 0.25 kg. Which item is heavier?
Bananas are heavier.
Use a number line to show where 7.6 would be located.
Show Ms. Kuhn!
Convert the mixed number 1 and 15 hundredths into a decimal.
1.15
Write 3.24 in expanded form using decimals
(3 x 1) + (2 x .1) + (4 x .01)
OR
3+ .2+ .04
True or False: 0.5 is the same as 0.50. Explain why.
TRUE
Because adding a zero to the end of a decimal does not change its value. Both represent 5 tenths or 50 hundredths.
Plot the weight of cheese (0.56 kg) on a number line between 0 and 1.
Show Ms. Kuhn.
Show how to decompose 3 tenths into hundredths using an area model. How many hundredths do you have now?
Show Ms. Kuhn
30 hundredths or .30
Write 0.03 as a fraction.
3/100
Compose these parts into one decimal: 2 ones, 5 tenths, and 3 hundredths.
2.53
How many hundredths are there in 1.7?
170 hundredths
If you have $1.03, do you have 3 dimes or 3 pennies? How do you know?
You have 3 pennies because pennies are 1/100 of a dollar, and the 3 is in the hundredths place.
Look at a number line labeled from 3.6 to 3.7. Where would you plot 3.64?
Show Ms. Kuhn!
Change 2 7/10 into a decimal.
2.7
Write the weight of a 0.34 kg banana in expanded form using fractions.
(3 x 1/10) + (4 x 1/100)
OR
3/10 + 4/100
How many total tenths are there in the number 2.30?
23 tenths
If bread, eggs, and cheese together weigh 1.15 kg, write that total weight as a fraction.
1 15/100
Use an area model to prove that 90/100 can be renamed as 9 tenths.
Show Ms. Kuhn.
A bag of grapes weighs 56/100 kg. Write this weight as a decimal.
.56
Express (2x 10) + (3 x 1) + (7 x 1/10) + (8 x 1/100) as a standard decimal.
23.78
Use division to show how 90/100 is renamed as tenths.
90 divided by 10= 9
100 divided by 10= 10
9/10
You have items weighing 0.25 kg, 0.34 kg, and 0.56 kg. Plot all three on a number line and circle the one closest to 0.5.
Show Ms. Kuhn.
.56 is closest to .5