KILOGRAMS AND GRAMS (PART 2)
You already know how to change between Kilograms and Grams.
There are 1000 grams in every kilogram:
1kg
=
1000g
2kg
=
2000g
1kg 800g
=
1800g
5kg 525g
=
5525g
If we use decimal numbers we can also write weights like these in
kilograms only. Follow these examples:
1575

=
1kg 575g

=
1.575kg

Every 1000g is shown as a whole kilogram to the left of the decimal point.
7579g

=
7kg 579g

=
7.579g

The remaining grams (under 1000) are shown as parts of a kilogram using decimal numbers.

3508g
575g


3kg 508g
=
=
575g

=
=

3.508kg
0.575kg

When the amount is not over 1000g then a whole kilogram cannot be shown.
When this happens we show there are no whole kg with a zero.

999g

999g
=
=
Can you see what is happening?
Every 1000g is shown as a whole kilogram.
Every 100g is shown as
Every 10g is shown as
f lex i p
Every 1g is shown as
1
10
1
100
1
1000
or 0.1 of a kilogram.
or 0.01 of a kilogram.
or 0.001 of a kilogram.
ac k s
1

0.999kg
A.
Try these yourself
1)
5765 g
=
5 kg 765 g
=
.........
.
.......................
kg
2)
2808 g
=
2 kg 808 g
=
.........
.
......................
kg
3)
4075 g
=
4 kg 75 g
=
.........
.
.......................
kg
4)
11555 g
=
11 kg 555 g
=
.........
.
.......................
kg
5)
17595 g
=
17 kg 595 g
=
.........
.
......................
kg
6)
605 g
=
.........
.
......................
kg
7)
87g
=
.........
.
......................
kg
You can use the calculator to check your answers.
If you have a weight in grams then you can find it in kilograms by
DIVIDING BY 1000 (because 1000g = 1kg)
So
2453g

1000
=
2.453kg
5683g

1000
=
5.683kg
B.
Now try these, changing from kilograms to grams.
1)
1.756 kg
=
......................
g
2)
2.999 kg
=
......................
g
3)
7.552 kg
=
......................
g
4)
13.098 kg =
......................
g
5)
18.224 kg =
......................
g
6)
0.375 kg
......................
g
=
You can use the calculator to check your answers.
If you have a weight in kilograms then you can find it in grams by
MULTIPLYING BY 1000 (because 1000g = 1kg)
So
2.333kg
x
1000
=
2333g
6.858kg
x
1000
=
6858g
0.095kg
x
1000
=
95g
Look at these ones that have been done for you.
This time they include UNNECESSARY ZEROS.
(If you have not come across these before then look at the work
sheet "Unnecessary Zeros" in the Decimals support pack.)
2570 g
=
2.57 kg
The 2000g change to whole kilograms.
The remaining grams are written as a decimal.
We can get rid of the last 0 as it is unnecessary.
3080 g
=
3.08 kg
The 3000g change to whole kilograms.
The remaining grams are written as a decimal.
We can get rid of the last 0 as it is unnecessary, but we need to
include the zero after the decimal point as it is important for the
place value (it shows that there are no 100g or 1/10 kg).
2900g
=
2.9kg
The 2000g change to whole kilograms.
The remaining grams are written as a decimal.
We can get rid of the 0's following the number as they are
unnecessary.
Check these on a calculator. This automatically gets rid of the
unnecessary zeros.
C.
Now try these.
1)
Ellen goes to the market. She buys 1.37kg of apples, 5.25kg
potatoes, 1.75kg carrots and 0.975kg of oranges. Can you
change these weights to grams?
2)
Moya works on the delicatessen counter of a local
supermarket.
Change these weights from kg to g.
Back bacon
Herb sausages
Pork sausages
Streaky smoked bacon
Scotch egg
Coleslaw
Potato Salad
3)
0.785 kg
1.150 kg
0.750 kg
0.87 kg
0.09 kg
0.3 kg
0.25 kg
Pat works on the cheese counter in the same supermarket.
All the cheeses are labelled in kg. He packs these cheeses.
Can you change these weights to kg?
Cheddar (mild)
Wensleydale
White Cheshire
Red Leicester
Parmesan
454
225
270
290
105
g
g
g
g
g
4)
Anya works in a vet's as a nurse. Part of her job is to weigh
all the animals which come in for treatment. Change all these
weights to kg.
Fluffy
Ginger
Roger
Alfie
5)
1005g
2350g
7650g
950g
5095g
755g
10900g
Saba sells sweets in her shop. She packages several packs in
grams. Each package comes out of a 3kg jar.
Work out how many grams of sweets she has used.
Work out how much is left in each jar in kg.
Everton Mints
Pear Drops
Lemon Sherbet
Mixed Toffee
Yorkshire Mixture
Choc Drops
Cinder Toffee
Mint Imperials
6)
Tilly
Raincloud
Rover
Pack size
no of
packs
100g
75g
60g
250g
125g
150g
100g
200g
15
8
12
10
10
20
8
8
total
weight
used
weight
left
(kg)
Moya (from question 2) needs to attach pack prices to bacon,
quiche and sausages.
Change these weights to kg, and then work out how much each
pack will cost using a calculator. (You may need to round off
to the nearest penny.)
weight of pack
Back bacon
600 g
Herb sausages
1125 g
Pork sausages
1500 g
Streaky smoked bacon
225 g
Cheese and onion quiche
250 g
Broccoli quiche
375 g
Gammon steaks
400 g
price per kg
£4.95
£3.50
£3.99
£3.45
£5.75
£5.49
£8.75
price per pack
Answers
Kilograms and Grams (Part 2)
A.
B.
C.
1)
5.765 kg
2)
2.808 kg
3)
4.075 kg
4)
11.555 kg
5)
17.595 kg
6)
0.605 kg
7)
0.087 kg
1)
1756 g
2)
2999 g
3)
7552 g
4)
13098 g
5)
18224 g
6)
375 g
1)
1370 g
5250 g
1750 g
975 g
2)
785 g
1150 g
750 g
870 g
90 g
300 g
250 g
3)
0.454 kg
0.225 kg
0.27 kg
0.29 kg
0.105 kg
4)
1.005 kg
2.35 kg
7.65 kg
0.95 kg
5.095 kg
0.755 kg
10.9 kg
5)
6)
Everton Mints
Pear Drops
Lemon Sherbert
Mixed Toffee
Yorkshire Mixture
Choc Drops
Cinders Toffee
Mint Imperials
Total Weight Used
1.5 kg
0.6 kg
0.72 kg
2.5 kg
1.25 kg
3 kg
0.8 kg
1.6 kg
Back bacon
Herb Sausages
Pork Sausages
Smoked bacon
Cheese quiche
Broccoli quiche
Gammon steaks
£2.97
£3.94
£5.99
£0.77
£1.44
£2.06
£3.50
Weight Left
1.5 kg
2.4 kg
2.28 kg
0.5 kg
1.75 kg
0g
2.2 kg
1.4 kg