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1c Negative numbers
a Multiply 0.36 by i 10 ii 100 iii 1000
b Divide 24 by
i 10 ii 100 iii 1000
You can use patterns to work out the answers to questions
involving multiplying and dividing by 10, 100 and 1000.
a i 0.36 ⫻ 10 ⫽ 3.6
b i 24 ⫼ 10 ⫽ 2.4
ii 0.36 ⫻ 100 ⫽ 36
ii 24 ⫼ 100 ⫽ 0.24
iii 0.36 ⫻ 1000 ⫽ 360
iii 24 ⫼ 1000 ⫽ 0.024
1 Calculate
a 34 ⫻ 10
c 12 ⫻ 100
e 2.04 ⫻ 1000
g 9.11 ⫻ 10
b
d
f
h
2 Calculate
a 240 ⫼ 10
c 650 ⫼ 100
e 456 ⫼ 1000
g 12 ⫼ 10
3
example
example
1b Multiply and divide by 10, 100
and 1000
310
31000
b
d
f
h
3100
8 ⫻ 1000
4.1 ⫻ 10
45.2 ⫻ 100
5.314 ⫻ 100
410
2
Number Multiply and divide by 10, 100 and 1000
a -25 ⫺ -10
⫽ -25 ⫹ 10
⫽ -15
b 45 ⫼ -9
b 45 ⫼ -9
⫽ -5
c (-15)2
c (-15)²
⫽ -15 ⫻ -15
⫽ 225
1 Put each of these sets of numbers in ascending order
(lowest to highest).
a -2
-3
4
0
-7
b 12
-16
-23
31
-50
c -2
-6.1
-1.8
-6.4
-2.5
3 Write the difference between these temperatures.
a -3 ⬚C and 0 ⬚C
b -1 ⬚C and 8 ⬚C
c 3 ⬚C and -5 ⬚C
d -12 ⬚C and -7 ⬚C
e -15 ⬚C and 15 ⬚C
f -18 ⬚C and -21 ⬚C
41000
Write which of these operations must be applied to 3.056 to give
a 305.6
b 0.3056
c 3056
d 0.003 056
4 Write the operation that is needed to change
a 2.56 to 25.6
b 56.12 to 0.5612
c 0.35 to 0.000 35
d 314.3 to 0.3143
e 1.052 to 105.2
f 15 to 0.15
g 214.45 to 21 445
h 0.010 02 to 10.02
a -25 ⫺ -10
2 Insert a ⬍ or ⬎ symbol between each pair of numbers to
make a true statement.
a 0 -3
b -6 8
c -4 -7
3500 ⫼ 1000
4.1 ⫼ 10
992 ⫼ 100
25 ⫼ 100
4100
Calculate
4 Calculate
a 7 ⫺ 10
d -4 ⫺ 2
b -5 ⫹ 6
e -9 ⫹ 9
c -12 ⫹ 4
f 20 ⫺ 40
5 Calculate
a 8 ⫹ -3
d 6 ⫺ -9
b 10 ⫺ 4
e -12 ⫹ -8
c -5 ⫹ 2
f -15 ⫺ -5
6 Find the missing numbers.
a -2 ⫻ -3 ⫽
b 12 ⫻ ⫽ -24
d -6 ⫻ ⫽ -30
e 16 ⫼ -2 ⫽
2
g (-4) ⫽
h 18 ⫻ ⫽ -9
c
⫼ 3 ⫽ -5
f
⫼ -50 ⫽ 2
i (9 ⫼ )3 ⫽ -27
Number Negative numbers
3
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