Representing Decimals
If a square cake is cut into 10 equal rectangular slices and 7 slices are eaten, what decimal represents the amount of cake left?
0.3 or 3/10
Convert the fraction 6/10 into its equivalent decimal form.
.6
What is the standard decimal number for the unit form: "5 tenths and 2 hundredths"?
.52
Look at a number line that starts at 5 and ends at 6. If the line is split into 10 equal spaces, what is the decimal value of the very first tick mark past 5?
5.1
Use <, >, or = to make this statement true:
0.4 ____ 0.04.
.4 > .04
A floor design uses a large grid made of 100 small tile squares. If 40 tiles are blue and the rest are white, what decimal represents the white tiles?
60/100 or .60
Write the mixed number 4 23/100 as a standard decimal.
4.23
Write the number 4.71 in expanded form using fractions.
4+ 7/10 +1/100
OR
(4x1)+ (7x1/10)+ (1 x 1/100)
Between which two whole numbers on a number line would you plot the value 0.95?
0 and 1
Which value is larger: 0.7 or 0.70? Explain your reasoning using tenths and hundredths.
They are equal because 7x10= 70 hundredths
A cash register shows a total of $5.02. If you pay with a 5-dollar bill, what specific coins do you need to make the remaining 2 hundredths?
2 pennies
If a digital scale reads 0.09 grams, what fraction of a gram is it showing?
9/100
Write the value 0.85 in expanded form using decimal values.
.8 + .05
OR
(8 x .1) + (5 x .01)
On a number line zoomed in between 1.4 and 1.5, what decimal value sits exactly halfway between them?
1.45
Compare these values: 15 tenths ____ 1.5.
=
Which total amount is larger: 8 dimes or 75 pennies? Explain your answer using decimals.
8 dimes because 8 dimes= .80 and 75 pennies= .75
Write the fraction 14/10 as a decimal.
1.4
Put these mixed-up parts together into one decimal number: 9 hundredths, 3 ones, and 6 tenths.
3.69
True or False: On a standard 0-to-10 number line, the decimal 2.1 is located closer to the number 2 than the decimal 2.08. Explain why.
False because 8 hundredths is closer to 2 than 10 hundredths.
Put these three decimals in order from least to greatest: 0.32, 0.3, and 0.09.
.09, .3, .32
You have 4 dimes and 1 penny in your left pocket, and 77 pennies in your right pocket. If you put all your money together, do you have more or less than one whole dollar? Explain.
.41+.77= 1.18, so more than a dollar.
An insect measures 8 7/10 centimeters long. Write this measurement as a decimal in hundredths form.
.870
Convert this expression into a standard decimal:
(5 x 10) + (0 x 1) + (4x 1/10) + (9 x 1/00)
50.49
If you start at 6.73 on a number line and move exactly 2 tenths to the right, what tick mark do you land on?
6.93
Use <, >, or = to compare: 2.06 ____ 2 6/10
2.06 < 2 6/10