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primary 5 | Maths
| Whole Numbers
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4.89 m + 0.19 m + 29 cm
= 4.89 m + 0.19 m + 0.29 m
= 5.37 m
Now that's 3 times of Tom's height.
Tom's height = 5.37 m ÷ 3 = 1.79 m
Cliff's height = 1.79 m - 0.29 m
= 1.5 m
Alternative working :
Tom is 0.19 m taller than Bob since Bob is 0.19 m shorter than Tom.
29cm = 0.29 m
So Tom is 0.29 m taller than Cliff.
Comparing these two pieces of information,
0.29 m - 0.19 m = 0.1 m
We can deduce that Bob is 0.1 m taller than Cliff.
Now we make all the height the same as Cliff's.
4.89 m - 0.1 m - 0.29 m = 4.5 m
This is three times of Cliff's height.
Cliff's height = 4.5 m ÷ 3 = 1.5 m
A & B used 7.3 litres of while colour paint and 6/7 litres of pink colour paint to paint the house.
How many litres of paint did they use altogether?
7.3 litres = 7 3/10 litres
Pink paint : 6/7 litre
The idea here is to make the denominator of the fraction the same so they can be added together.
White paint :
7 3/10 litres = 7 21/70 litres
(multiply both the numerator and denominator of the fraction part by 7)
Pink paint :
6/7 litres = 60/70 litre
(multiply both the numerator and denominator of the fraction part by 10)
Total paint used
= 7 21/70 litres + 60/70 litre ①
= 7 81/70 litres ②
= 7 litres + 70/70 litre + 11/70 litre ③
= 7 litres + 1 litre + 11/70 litre ④
= 8 litres + 11/70 litres ⑤
= 8 11/70 litres ⑥
You can skip directly from step ② to step ⑥ for this part. ③,④,⑤ are just there to show you how it's derived.
If you want to present as a decimal (to 2 decimal places),
11/70 ≈ 0.157142857
Then 8 11/70 litres
≈ 8.157142857 litres
= 8.16 litres (2.dp)
= 7 litres + 0.3 litres
Now 0.1 = 1 ÷ 10 = 1/10
So 0.3 = 0.1 x 3 = 3 x (1 ÷ 10) = 3 x 1/10
= 3/10
So,
7.3 litres
= 7 litres + 0.3 litres
= 7 litres + 3/10 litres
= 7 3/10 litres
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