Download Intro to Decimals Place Value The word form, decimal form, and

Intro to Decimals
Place Value
The word form, decimal form, and fraction equivalent are shown here
One Hundred
Ten
One
One Tenth
One Hundredth
100
10
1
0.1
0.01
100
10
1
1
1
1
1
10
100
1
Example: The number 132.524 would look like
Hundreds
Tens
Ones
Decimal
Point
1
3
2
.
One Thousandth
0.001
1
1000
Tenths
Hundredths
Thousandths
4
2
4
524
1000
We’d read this by reading the whole number, then the fraction equivalent
One hundred thirty two and four hundred twenty four thousandths.
This would be equivalent to the fraction 132
Example: What is the place value of 4 in 65.413?
The 4 is in the tenths place
Example: Write as a decimal: twenty three and forty six hundreds.
23.46
Converting a decimal to a fraction
To convert a decimal to a fraction, we write the decimal part as a fraction, then reduce if possible.
Example: Write 7.25 as a mixed number
7.25  7
Example: Write 5.4 as a mixed number
5.4  5
25
1
7
100
4
4
2
5
10
5
Rounding
When we round to a decimal place value, we look to the right of the desired place value to determine which
way to round. Everything after the desired place value gets dropped.
Example: Round 173.264 to the nearest tenth
The 2 is in the tenths place. Looking to the right, the 6 tells us to round up, so we round to 173.3
Example: Round 173.264 to the nearest tenth
The 2 is in the tenths place. Looking to the right, the 6 tells us to round up, so we round to 173.3
Worksheet – Intro to Decimals
Math 51 – Lippman
Name: ________________________________
1) Write out in words: 5.46
2) Write out in words: 7.912
3) Write the number: twenty three and five tenths
4) Write out the number: two thousand eleven and four hundred twenty six thousandths
5) What is the place value of 8 in 7.0812?
6) What is the place value of 2 in 7.0812?
8) Round 15.194 to the nearest tenth
9) Round 8.724 to the nearest whole number
10) Round 8.07 to the nearest tenth
11) Round 5.197 to the nearest hundredth
Determine which number is larger. Write < or > between the numbers to show this.
12) 4.512
4.508
13) 6.17
6.2
Convert to mixed numbers. Reduce to lowest terms.
14) 5.6
15) 7.12
Measure the length of each bar in centimeters. Give your answer as a decimal.
17)
18)
19)
16) 6.375