Learning objectives
- To convert decimals into fractions
- To compare,add and subtract decimals
- To multiply and divide decimal numbers
- Rounding decimals
Hundredths
and is read as four hundredths.
Four hundredths in the decimal system are written as 0.04 and are read as zero point zero six. Numerals with digits at tenths and hundredths place in a place value chart are shown below.
Digit | Thousand | Hundred | tens | ones | Tenths | Hundredths |
---|---|---|---|---|---|---|
463.78 | 4 | 6 | 3 | 7 | 8 | |
6673.78 | 6 | 6 | 7 | 3 | 3 | 4 |
Numeral 463.78 is read as four hundred sixty–three point seventy–eight.
Thousandths
Fraction is four thousandths.
Four thousandths in the decimal system is written as 0.004.
It is read as zero point zero zero four.
Mixed fraction as decimal
Place value chart
Few decimal fractions in a place value chart are as follows:
56.2 41.89 65.215
Numerals | Th | H | T | O | tenths | Hundredths | thousandths | |
---|---|---|---|---|---|---|---|---|
56.2 | 5 | 6 | . | 2 | ||||
41.89 | 4 | 1 | . | 8 | 9 | |||
65.215 | 6 | 5 | . | 2 | 1 | 5 |
See the place value of numerals after the decimal points. Place value of:
2 is two tenths.
89 is eighty–nine hundredth.
215 is two hundred and fifteen thousandths.
Exercise 6.1
A. Read and write number names.
1. | 5.11 | |
2. | 18.35 | |
3. | 13.007 | |
4. | 36.128 | |
5. | 54.607 | |
6. | 89.98 |
B. Make a place value chart for the following decimal fractions.
1. | 4.3 | |
2. | 2.07 | |
3. | 17.68 | |
4. | 12.78 | |
5. | 67.62 | |
6. | 150.002 |
Revision exercise
A. Write the following fractions as decimal fractions.
B. Write the following mixed fractions as decimal fractions.
The expanded form of decimal fractions
Example 1:
Place value of digits in the decimal part of the numeral 366.231 is as follows:
Place value of 2 is 2 tenths or
Place value of 3 is 3 hundredths or
Place value of 1 is 1 thousandth or
Numerals | Th | H | T | O | tenths | hundredths | thousandths | |
---|---|---|---|---|---|---|---|---|
356.231 | 3 | 5 | 6 | . | 2 | 3 | 1 |
Numeral 356.231 can be written in expanded form as shown below:
356.231 = 3 hundreds + 5 tens + 6 ones + 2 tenths + 3 hundredths + 1 thousandths
Example 2:
2104.502 = 2 thousand + 1 hundreds + 4 tens + 5 tenth + 2 thousandths
Exercise 6.2
A. Write the expanded form of the following decimal fractions.
1. | 6.3 | |
2. | 8.32 | |
3. | 9.09 | |
4. | 50.43 | |
5. | 67.29 | |
6. | 99.009 |
B. Write decimal fractions for the following.
1. | ||
2. | ||
3. | ||
4. | 100 + 40 + 1 + 0.1 + 0.06 + 0.002 | |
5. | 6000 + 60 + 3 + 0.8 + 0.005 | |
6. | 1000 + 10 + 0.1 + 0.01 + 0.001 |