Learning Target: I can write decimal numbers and identify their place values. Learning Target: I can write decimal numbers and identify their place values.
The value of digits to the right of a decimal point is less than one.
Example 1
0.125
Standard form: 0.125
Word form: one hundred twenty-five thousandths
Short word form: 125 thousandths
The value of digits to the left of a decimal point is equal to more than one.
Example 2
4.135
Standard form: 4.135
Word form: four and one hundred thirty-five thousandths
Note: The decimal point is read as "and"
Moving left, each digit is 10 times as large as the digit next to it on the right.
Example 3
The number 33
In the number above, 3 tens (the digit on the left) have 10 times the value of 3 ones (the digit next to it on the right).
Moving right, each digit is 1/10 the value of the digit next to it on the left.
Example 4
The number 5.5
The 5 in the tenths place (the digit on the right) is 1/10 the value of the 5 in the ones place next to it on the left.
Let's Practice Together
Write each in standard form.
1. five tenths
2. four and sixteen thousandths
3. eleven and seven tenths
Your Turn
4. twenty-five thousandths
5. nine hundredths
6. six and eight tenths
7. twenty-five and nineteen hundredths
8. seventy-three and four thousandths
Write the value of the underlined digit in words.
9. 6.7
10. 8.991
11. 72.35
12. 89.52
13. 100.002
Check for Understanding
1. Match the standard form with the word form.
0.342 thirty-four and two hundredths
34.02 sixty-two and one hundredth
62.01 three hundred forty-two thousandths
0.162 one hundred sixty-two thousandths
Answers
1. 0.5
2. 4.016
3. 11.7
4. 0.025
5. 0.09
6. 6.8
7. 25.19
8. 73.004
9. seven tenths
10. nine hundredths
11. seven tens
12. five tenths
13. two thousandths
Check for Understanding
1.
0.342: three hundred forty-two thousandths
34.02: thirty-four and two hundredths
62.01: sixty-two and one hundredth
0.162: one hundred sixty-two thousandths