Decimals & Place Value
Every digit has a place value.
Notice: “ths” at
the end!
Tenths Place
The ___________ place is the first place value after the decimal. It is called the tenths place
because it tells us how many out of 10.
Example:
0.3
a.
Words:
3 out of 10
3
Fraction:
10
0.5
b.
Words: ____ out of ____
Words:
Words:
Fraction:
Fraction:
Fraction:
10
0.2
c.
0.9
Hundredths Place
The ______________ place is the second place value after the decimal. It is called the
hundredths place because it tells us how many out of 100. (Like money)
Example:
d.
0.31
Words: 31 out of 100
Fraction:
0.57
e.
0.07
f.
0.98
Words: ____ out of ____
Words:
Words:
Fraction:
Fraction:
Fraction:
31
100
100
Thousandths Place
The _______________ place is the third place value after the decimal. It is called the
thousandths place because it tells us how many out of 1000.
Example:
g.
0.319
Words: 319 out of 1000
Fraction:
319
1000
0.111
h.
Words: ____ out of ____
Words:
Words:
Fraction:
Fraction:
Fraction:
1000
0.001
i.
0.874
Rounding
When we round a number, we get a less accurate number. We use rounding to make
estimations and help us with mental math.
Rounding to the Tens Place
Example: Round 64 to the tens place.
What we are really asking: Is 64 closer to 60 or 70?
64 is 4 away from 60. 64 is 6 away from 70. Therefore, 64 should be rounded to 60.
Round the following to the tens place.
j.) 72 ≈
k.) 126 ≈
l.)
18 ≈
Rounding to the Ones Place
Example: Round 2.4 to the ones place (see image)
What we are really asking: Is 2.4 closer to 2 or 3?
2.4 is 0.4 away from 2, but 0.6 away from 3. Therefore, 2.4 should be rounded to 2.
Round the following to the ones place.
m.) 5.8 ≈
n.) 24.1 ≈
o.)
90.62 ≈
Rounding to the Tenths Place
Example: Round 1.26 to the tenths place.
What we are really asking: Is 1.26 closer to 1.2 or 1.3?
1.26 is 0.04 from 1.3.
1.26 is 0.06 from 1.2. Therefore, 1.26 should be rounded to 1.3.
Round the following to the tenths place.
p.) 6.23 ≈
q.) 30.1942 ≈
Steps for rounding to any place
r.)
0.11 ≈
Hint: Do not add
extra 0’s after
the decimal.
Step 1: Find the place value that is asked, circle that digit.
Step 2: Look at the digit to the right of that place.
Step 3: If the digit to the right is 0, 1, 2, 3, 4: Keep the circled number.
If the digit to the right is 5, 6, 7, 8, 9: Bump the circled number up by 1.
PRACTICE
s. Round 326 to the tens place:
t. Round 0.9283 to the tenths place:
u. Round 43.0439 to the tenths place:
v. Round 1,294,022.092 to the thousands place:
w. Round 9.2145 to the thousandths place:
x. Round 3,494.065 to the hundreds place: