Transcript Ordering Decimals

Starter Activity
Muncher Challenge
(Individual work, in silence)
You have five minutes to answer as many
of the questions on the sheet and score
the most amount of points.
There is a bonus question on the bottom
of the sheet for extra marks
Decimals
LO:- To be able to order decimals ranging
from 1dp to 3dp.
MUST:- be able to read a decimal from a
number line.
SHOULD:- be able to state whether a
decimal is large or smaller than another up to
three decimal places
COULD:- to be able to order decimals
Decimals on a number line
Comparing decimals
Which number is bigger:
1.72 or 1.702?
To compare two decimal numbers, look at each digit in order
from left to right:
1.72
1.702
These
The
2 is
digits
bigger
arethan
the same.
the 0 so:
1.72 > 1.702
Comparing decimals
Which number is bigger:
2.53 or 2.523?
To compare two decimal numbers, look at each digit in order
from left to right:
2.53
2.523
These
The 3 is
digits
bigger
arethan
the same.
the 2 so:
2.53 > 2.523
Comparing decimals
Which measurement is
bigger:
5.36 kg or 5371 g?
To compare two measurements, first write both
measurements using the same units.
We can convert the grams to kilograms by dividing
by 1000:
5371 g = 5.371 kg
Comparing decimals
Which measurement is
bigger:
5.36 kg or 5.371 kg?
Next, compare the two decimal numbers by looking at each
digit in order from left to right:
5.36
5.371
These
The
7 is
digits
bigger
arethan
the same.
the 6 so:
5.36 < 5.371
Fractions
Fill in the missing words:1.5kg is ………….. 1.55kg.
>
(greater than)
<
(less than)
=
(equal to)
Fractions
Fill in the missing words:3.74km is ………….. 3.739km.
>
(greater than)
<
(less than)
=
(equal to)
Fractions
Fill in the missing words:12.567cm is ………….. 12.566cm.
>
(greater than)
<
(less than)
=
(equal to)
Fractions
Fill in the missing words:1.5kg is ………….. 1500g.
>
(greater than)
<
(less than)
=
(equal to)
Fractions
Fill in the missing words:0.734km is ………….. 740m.
>
(greater than)
<
(less than)
=
(equal to)
Fractions
Fill in the missing words:0.734km is ………….. 740m.
>
(greater than)
<
(less than)
=
(equal to)
Ordering decimals
Write these decimals in order from smallest to largest:
4.67
4.717
4.77
4.73
4.7
4.70
4.07
To order these decimals we must compare the digits in
Thesame
correct
order is:
the
position,
starting from the left.
The digits in the unit positions are the same, so this does
4.07
4.7
4.717
4.73
4.77
not
help. 4.67
Looking at the first decimal place tells us that 4.07 is the
smallest followed by 4.67
Looking at the second decimal place of the remaining
numbers tells us that 4.7 is the smallest followed by 4.717,
4.73 and 4.77.
Ordering decimals
Write these decimals in order from smallest to largest:
5.43
5.371
5.077
5.35
5.374
5.501
0.69
0.691
0.517
0.513
0.523
0.511
2.23
2.234
2.232
2.41
2.231
2.023
9.99
9.919
9.999
9.981
9.989
9.997
7.12
7.21
7.121
7.112
7.211
7.111
0.134
0.031
0.31
0.301
0.038
3.032
Ordering decimals
Write these decimals in order from smallest to largest:
5.43
5.371
5.077
5.35
5.374
5.501
Ordering decimals
Write these decimals in order from smallest to largest:
0.69
0.691
0.517
0.513
0.523
0.511
Ordering decimals
Write these decimals in order from smallest to largest:
2.23
2.234
2.232
2.41
2.231
2.023
Ordering decimals
Write these decimals in order from smallest to largest:
9.99
9.919
9.999
9.981
9.989
9.997
Ordering decimals
Write these decimals in order from smallest to largest:
7.12
7.21
7.121
7.112
7.211
7.111
Ordering decimals
Write these decimals in order from smallest to largest:
0.134
0.031
0.31
0.301
0.038
3.032
Rational numbers
a
b
Any number that can be written in the form
(where a and b
are integers and b ≠ 0) is called a rational number.
All of the following are rational:
6
7
7
–12
.
0.3
8
3
4
43.721
All integers are rational because they can be written as
the integer
1
We have seen that all terminating and recurring decimals
a
can be written as fractions in the form b . This means that
they are also rational.
Dewey Decimal Classification System
Ordering decimals
Decimal sequences
Mid-points
Comparing decimals
Questions
Answers