Chapter 7 Decimals Worksheet - New Century Maths Page 16
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38Working mathematically
Applying strategies and reasoning: Contents of envelopes
The objects listed below are typical of what we put in envelopes.
• pin 0.06 g
• stamp 0.13 g
• lined notepaper 3.69 g
• staple 0.07 g
• cheque 0.97 g
• paper clip 0.22 g
The total mass (in grams) is printed on each
a
b
envelope on the right. If a standard envelope
has a mass of 2.23 g, identify the contents of
each of these envelopes from its total mass.
c
Each envelope can contain more than one of
d
each object listed above.
a Contents: 1
and 1
7.32 g
b Contents: 1
and 1
e
c Contents: 2
, 1
and 5
f
d Contents: 1
, 1
, 1
and 3
e Contents: 2
, 1
and 1
f Contents: 3
, 2
, 1
, 1
and 1
Multiplying and dividing by powers of 10
This place-value chart shows what happens when you multiply and divide a decimal by
powers of 10. Check it using your calculator.
36.7
3
6
7
36.7 × 10
3
6
7
36.7 × 100
3
6
7
0
36.7 × 1000
3
6
7
0
0
2.35
2
3
5
2.35 × 10
2
3
5
2.35 × 100
2
3
5
2.35 × 1000
2
3
5
0
36.7 ÷ 10
3
6
7
36.7 ÷ 100
0
3
6
7
36.7 ÷ 1000
0
0
3
6
7
2.35 ÷ 10
0
2
3
5
2.35 ÷ 100
0
0
2
3
5
Note how the decimal point moves to the right when multiplying and to the left when
dividing. The number of places moved is the same as the number of zeros in the power of 10
you are multiplying or dividing by.
213
DECIMALS
CHAPTER 7
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