Contributor: Erika Wargo. Lesson ID: 12533
Is there an easier way to write 67-23/1000, or sixty-seven and twenty-three one-thousandths? Oh, yes! Make it a point to learn how to write and read numbers using decimal notation, up to thousandths!
Jackson’s bag of candy weighed 1.15 pounds.
We think Jackson should share his candy with you if you get it right!
A decimal number is a number that contains a decimal point (.).
Numbers after the decimal point have a different value from the numbers before the decimal point. Each place value position has a specific value.
Take some time to review place value of whole numbers and decimals with a video, Math Antics - Decimal Place Value. As you watch the video (below), write down the answers to the following questions:
Math Antics - Decimal Place Value:
Decimal numbers are used to write large and small numbers.
Digits to the left of a decimal point show whole numbers, often greater than one. Digits to the right of a decimal point show numbers less than one.
The decimal point goes in between the ones place and the tenths place. When reading a decimal number, the word "and" is usually used to indicate the location of the decimal point.
Notice that the place values to the right of the decimal point are written with a “ths” at the end of the word. The decimal places to the right of the decimal are the fraction part of the number.
Decimals can be thought of as a fraction where the denominator is a number such as 10, 100, or 1000.
thousands 1,000 |
hundreds 100 |
tens 10 |
ones 1 |
decimal point |
tenths ^{1}/_{10} |
hundredths ^{1}/_{100} |
thousandths ^{1}/_{1000} |
. |
Example
In the number 16.875, name the digit in each place value spot using the place value chart.
thousands 1,000 |
hundreds 100 |
tens 10 |
ones 1 |
decimal point |
tenths ^{1}/_{10} |
hundredths ^{1}/_{100} |
thousandths ^{1}/_{1000} |
1 | 6 | . | 8 | 7 | 5 |
Example
Take a look at the problem from the beginning of the lesson:
Jackson’s bag of candy weighed 1.15 pounds.
thousands 1,000 |
hundreds 100 |
tens 10 |
ones 1 |
decimal point |
tenths ^{1}/_{10} |
hundredths ^{1}/_{100} |
thousandths ^{1}/_{1000} |
1 | . | 1 | 5 |
When reading a decimal number:
1.15 is read as one and fifteen hundredths.
In the Got It? section, you will practice place value!