1. Lily moves 0.337 tonnes of sand to make a sandpit how much is this to two decimal places? 2. Lily moves 0.5 tonnes of pebbles to decorate the flower bed. If this mass has been to one decimal place, which of these could be the actual mass of pebbles? A 0.351 tonnes B. 0.562 tones C 0.545 tonnes D 0.445 tonnes. 3. Using your answer from questions 14, round the actual mass of pebbles to two decimal places. /4
if <5, then 0
if 5 or more, then 10
.34
2.
.351 ---> .4
.562 ---> .6
.545 ---> .5 whew
.445 ---> .4
3.
.351 --> .35
.562 --> .56
.545 --> .55 *****
.445 --> .45
#1 0.34
#2 C
0.351 -> 0.4
0.562 -> 0.6
0.445 -> 0,4
#3 0.545 -> 0.55
Most people round up from 5.
Some round to the closest even value, which would be 0.54 in this case. Follow the rules you were given.
Here is the rationale I gave for an earlier problem, for what it is worth :)
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Math - Damon, Monday, December 1, 2014 at 2:08pm
to the nearest tens place
55 would be called 60
54.9999999999 would be 50
but
55.00000000001 would be 60
so if it starts with 55 it is 60
It does not make a whole lot of sense, but one must decide consistently :)
0.5 is 1 but 0.499999999 is 0
1. To find the answer to question 1, we need to round the given mass of sand to two decimal places. The given mass is 0.337 tonnes. To round it to two decimal places, we look at the digit in the third decimal place. If it is 5 or greater, we round up the second decimal place. If it is less than 5, we leave the second decimal place as it is. In this case, the digit in the third decimal place is 7, which is greater than 5. Therefore, we round up the second decimal place, resulting in 0.34 tonnes.
2. In question 2, we are given the mass of pebbles as 0.5 tonnes, rounded to one decimal place. We need to determine which of the provided masses could be the actual mass of pebbles when rounded to one decimal place.
A. 0.351 tonnes: When rounded to one decimal place, this would be 0.4 tonnes, which is different from the given mass of 0.5 tonnes.
B. 0.562 tonnes: When rounded to one decimal place, this would be 0.6 tonnes, which is different from the given mass of 0.5 tonnes.
C. 0.545 tonnes: When rounded to one decimal place, this would be 0.5 tonnes, which matches the given mass of 0.5 tonnes.
D. 0.445 tonnes: When rounded to one decimal place, this would be 0.4 tonnes, which is different from the given mass of 0.5 tonnes.
Therefore, the actual mass of pebbles could be 0.545 tonnes (option C).
3. To round the actual mass of pebbles from question 2 to two decimal places, we simply leave the second decimal place as it is since it is already rounded to one decimal place. Therefore, the rounded actual mass of pebbles is 0.55 tonnes.