Name:______________________________ Class_______
3-1 – Reading and Writing Decimals
The value of a digit in one place represents 10 times as much as what it represents in the place to its right and
1
10
of what it represents in the place to its left.
Ones
2
2 is 10 times as much as 0.2
>>
.
1
0.2 is 10 of 2
Tenths
2
Hundredths
2
>> 0.2 is 10 times as much as 0.02
>>
1
0.02 10 of 0.2
Review – Decimals can be written in different ways, just like whole numbers
Look at the 4.
Standard Form: 25.347
Its place value is the hundredths
and its value is 0.04.
Word Form: twenty-five and three hundred forty-seven thousandths
1
1
1
Expanded Form: (2 x 10) + (5 x 1) + (3 x 10 ) + (4 x 100 ) + (7 x 1,000 )
Name the place value (P) of the underlined digit, then write the value (V) of the digit.
1.
35.052
2.
5.654
3.
4.95
4.
63.47
P: _____________
P: _____________
P: _____________
P: _____________
V:_____________
V:_____________
V:_____________
V:_____________
Write each number in standard form
5. thirty-four and twelve hundredths
6. (2 x 10) + (4 x 1) + (7 x
1
)
10
+ (4 x
1
)
100
______________________
+ (5 x
1
)
1,000
______________________
7. Circle True or False for each statement
A. three hundred twenty-four and sixty-eight thousandths is equal to 324.068
1
1
B. 596.104 = (5 x 100) + (9 x 10) + (6 x 1) + (1 x 100 ) + (4 x 1,000 )
C. (2 x 100) + (7 x 10) + (5x 1) + (3 x
1
)
10
+ (0 x
1
)
100
+ (6 x
1
)
1,000
is equal to two
True
False
True
False
True
False
True
False
hundred seventy-five and three hundred sixty thousandths.
D. 803.542 is equal to eight hundred three and five hundred forty-two hundredths
8. Look at each comparison of the digits in 442.43. Is the comparison correct? Check yes or no
A. 400 is 10 times as much as 40
___ Yes
___No
C. 40 is
B. 40 is 10 times as much as 400
___ Yes
___No
D. 40 is
1
10
1
10
of 0.4
of 400
___ Yes
___No
___ Yes
___No
9. Kaelyn traveled 528.8 miles on her trip. Write a statement that compares the values of the digits in the ones
and tenths place.____________________________________________________________________________
10. Jarred said that the value of 9 in the hundredths place of 135.99 is 10 times as much as the value of 9 in
the tenths place. Is Jarred correct? Explain why or why not.
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
11. Complete the table below.
Standard Form
Word Form
Expanded Form
12.38
1
1
1
(4 x 10) + (5 x 1) + (6 x 10 ) + (3 x 100 ) + (5 x 1,000 )
Fifteen and fifty-five
thousandths
8.246
600 + 5 + (4 x 0.001) + (7 x 0.01)
Seventy-three and three
hundredths
Solve the following equations.
12.
{[7 + (8 – 3) x 2] – 5} + 32 = _____________
13.
7 x [(9 + 8) – (12 – 7)] = _____________