Decimals: Tenths, Hundredths and Thousandths
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1 = 10 |
10 |
100 |
100 |
1000 |
1000 |
Or,
1 whole = 10 tenths
1 whole = 100 hundredths
1 whole = 1000 thousandths
1 tenth = 0.1
1 hundredth = 0.01
1 thousandth = 0.001
0.5, 0.7 and 0.2 are decimals or decimal numbers.
Divide 1 whole into 10 equal parts.
In the fraction form, each part has a value equal to
1 |
10 |
Two parts are
2 |
10 |
The dot in a decimal number is called a decimal point.
1. What decimals do the following shaded parts represent?
3 tenths
3 |
10 |
10 tenths make 1 whole.
e)2 fifths
2 |
5 |
4 |
10 |
= 0.4
2. What fractions or mixed numbers do the following decimals represent? Express in the simplest form.
0.5 =
5 |
10 |
=
1 |
2 |
In 736.5,
- the digit 7 is in the hundreds place, its value is 7 × 100 or 700
- the digit 3 is in the tens place, its value is 3 × 10 or 30
- the digit 6 is in the ones place, its value is 6 × 1 or 6
- the digit 5 is in the tenths place, its value is 5 × 0.1 or 0.5
Divide 1 whole into 100 equal parts.
In the fraction form, each part has a value equal to
1 |
100 |
In the decimal form, each part has a value equal to 0.01 (read as zero point zero one).
4. What decimals do the following shaded parts represent?
b)
10 hundredths make 1 tenth.
c)50 hundredths
50 |
100 |
Or,
50 |
100 |
5 |
10 |
= 0.5
The decimals 0.5 and 0.50 have the same value.
e)
Change the denominator to a multiple of 10.
25 × 4 = 100
25 × 4 = 100
5. What fractions or mixed numbers do the following decimals represent? Express in the simplest form.
0.25 =
25 |
100 |
=
1 |
4 |
In 73.65,
- the digit 7 is in the tens place, its value is 7 × 10 or 70
- the digit 3 is in the ones place, its value is 3 × 1 or 3
- the digit 6 is in the tenths place, its value is 6 × 0.1 or 0.6
- the digit 5 is in the hundredths place, its value is 5 × 0.01 or 0.05
a) Change $10 and 35 ¢ to dollars.
$10 and 35 ¢ = $10 + $0.35
= $10.35
$10 and 35 ¢ = $10 + $0.35
= $10.35
b) Write 4 m 65 cm in m.
4 m 65 cm = 4 m + 65 cm
= 4.65 m
c) Express 4 m 65 cm = 4 m + 65 cm
= 4.65 m
9 | 3 |
100 |
9 | 3 |
100 |
3 |
100 |
= 9 L + 0.03 L
= 9.03 L Divide 1 whole into 1000 equal parts.
In the fraction form, each part has a value equal to
1 |
1000 |
In the decimal form, each part has a value equal to 0.001 (read as zero point zero zero one).
9. What decimals do the following fractions or mixed numbers represent?
2607 |
1000 |
![977 977](https://lancefisherfishing.com/wp-content/uploads/2018/12/2019-columbia-river-spring-chinook-forecasts-optimized.jpg)
2607 |
1000 |
2000 |
1000 |
607 |
1000 |
= 2 + 0.607
= 2.607c)
5 | 300 |
1000 |
5 | 300 |
1000 |
Understand 5 1 977 34 Percent
= 5 +300 |
1000 |
= 5 + 0.300
= 5.300
Or,
5 | 300 |
1000 |
300 |
1000 |
= 5 +
3 |
10 |
= 5 + 0.3
= 5.3
The decimals 5.300 and 5.3 have the same value.
10. What fractions or mixed numbers do the following decimals represent? Express in the simplest form.
Understand 5 1 977 345
0.250 =250 |
1000 |
=
25 |
100 |
=
1 |
4 |
In 7.365,
- the digit 7 is in the ones place, its value is 7 × 1 or 7
- the digit 3 is in the tenths place, its value is 3 × 0.1 or 0.3
- the digit 6 is in the hundredths place, its value is 6 × 0.01 or 0.06
- the digit 5 is in the thousandths place, its value is 5 × 0.001 or 0.005
12. Write a decimal for each letter on the number line below.
13. Compare the numbers 3.687, 3.678 and 3.876 and 3.786.
a) Which number is the smallest?
b) Which number is the greatest?
c) Arrange the numbers in increasing order.
d) Arrange the numbers in decreasing order.
a) 3.678 is the smallest number.
b) 3.876 is the greatest number.
c) Increasing order:
3.678, 3.687, 3.786, 3.876
d) Decreasing order:
3.876, 3.786, 3.687, 3.678
b) 3.876 is the greatest number.
c) Increasing order:
3.678, 3.687, 3.786, 3.876
d) Decreasing order:
3.876, 3.786, 3.687, 3.678
Compare the numbers digit by digit starting with the digit in the highest place value.