Student Understanding of Place Value and
Decimals Diagnostic Interview
1
6351
a)
The 3 stands for 3 HUNDREDS
635
The 3 stands for 3………………………….
b) 635 200
The 3 stands for 3………………………….
0.137
The 3 stands for 3 HUNDREDTHS
a)
0.3
The 3 stands for 3
………………………….
b)
0.340
The 3 stands for 3
………………………….
c)
0.613
The 3 stands for 3
………………………….
2
3
Write in figures:
a)
Three hundred and seventy
………………………………
b)
Six hundred thousand and eighty two
………………….
4
Write in words as you would say it:
a)
7040
……………………………………………………..
b)
130 000
……………………………………………………..
c)
0.39
……………………………………………………..
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
1
5
Add ten:
a)
4796
b)
0.15
………………………………
………………………………
6
Add one hundred:
a)
23 627
………………………………
b)
19 740
………………………………
7
Add one tenth:
a)
4.273
b)
3.9
………………………………
………………………………
8
Subtract one hundred:
a)
783
………………………………
b)
50 000
………………………………
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
2
9
a)
30
40
This number is
Give the next answers as decimals
b)
6
7
.
This number is
c)
3.7
3.8
.
This number is
d)
17
18
This number is about
.
e)
5
This number is
6
.
f)
9
This number is about
10
.
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
3
10
This meter counts the people going into a rugby match.
0
6
3
9
9
After one more person has gone in the meter will read:
11
The number that is 3 less than 26 000 is
………………….
12
For the answer to a maths problem Sandra got 3.70 and
Billy got 3.7
Is there any difference between the answers?
……………………..
Why?
………………………………………………………………………..
…………………………………………………………………………………….
……………………………………………………………………………………..
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
4
13
a)
Draw a ring around the bigger of the two numbers:
0.65
Why is it the bigger?
or
0. 7
………………………………………………………….
………………………………………………………………………………………
……………………………………………………………………………………….
b)
For each pair, draw a ring around the bigger
number.
i
30 100
or
30 095
ii
8.55
or
8.5
iii 3 06
or
3 5
14
Six tenths as a decimal is 0.6
a)How would you write as decimals:
i
four hundredths
…………………
ii
eleven thousandths
………………...
iii eleven tenths
…………………
b)
Four tenths
a)
Write down any number between:
i
3000 and 4000
…………………
is the same as
…………….
hundredths
15
ii
3100 and 3200
………………...
iii 0.3 and 0.4
iv
b)
…………………
0.31 and 0.32
…………………
How many different numbers could you write which lie
between 0.31 and 0.32?
……………………..
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
5
16
This is 1 square unit
a)
.
The area shaded is
square units
(Give your answers as
decimals)
b)
The area shaded is
.
square units
The area shaded is
.
square units
c)
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
6
17
Multiply by ten
a)
3
……….
b)
4.17
…………
Multiply by one hundred
c)
217
……….
d)
3.2
…………
Divide by one hundred
e)
1400
……….
f)
5.7
…………
Divide by twenty
g)
24
……….
h)
16
18
Draw a ring around the one in each pair that gives the
bigger answer.
a)
8
x
4
b)
8
x
0.4
c)
0.8
x
or
0.4
8
or
8
or
0.8
÷
÷
÷
4
0.4
0.4
19
a)
Add
………………
357
b) 12.4 +
=
+ 984
9.34 –
c)
Subtract 1412
………………
– 675
d)
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
7
=
20
a)
30
x
400
=
…………………………..
b)
5
x
0.2
=
…………………………..
c)
0.2
0.4
=
…………………………..
d)
80
4
=
…………………………..
0.4
=
…………………………..
e)
80
x
÷
÷
21
a)
Draw a ring around the number nearest in size to:
i
167
100
67
170
150
200
ii
3.9
4
40
3
30
1
0.1
10
0.2
20
0
iii 0.1
b)
Draw a ring around the number nearest in size to
the answer. (Do not work out the answer.)
i
2.9 x 7
0.002 0.02
0.2
2
20
200
ii
0.29 x
0.002 0.02
0.2
2
20
200
0.003 0.03
0.3
3
30
300
iii 59 ÷
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
8
22
Draw a ring around the calculation you would need to
do to find the answer.
a)
The price of mince is $8.75 for each kilogram.
What is the cost of a packet of mince that weighs
0.58 kg?
b)
8.75 + 0.58
0.58 ÷ 8.75
8.75 ÷ 0.58
0.58 – 8.75
8.75 – 0.58
0.58 x 8.75
The cost of a large bag of rice weighing 12.5
kilograms is $10.95
What should be the price of one kilogram of rice?
c)
12.5 + 10.95
10.95 ÷ 12.5
12.5 ÷ 10.95
10.95 – 12.5
12.5
10.95 x 12.5
– 10.95
My car can go 11.8 kilometres on each litre of
petrol on a motorway.
How many kilometres can I expect to travel on
25.65 litres?
11.8 + 25.65
25.65 ÷ 11.8
11.8 ÷ 25.65
25.65 – 11.8
11.8 – 25.65
25.65 x 11.8
Adapted from Chelsea Tests on Place Value and Decimals – (1981) Hart K. M., (Ed)
9