Rounding in Measurement
Round the following numbers to the nearest 100.
192
211
250
1250
Write your answers in the chat.
Do not submit until I tell you to!
The juice box says it contains 300 ml of juice.
How much juice does the box contain?
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3
0
0
m
l
.
It may be more or less.
Why do manufacturers want to be accurate?
They don’t want to give you much juice for free,
but they must legally have the amount stated.
3
0
0
m
l
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What is the maximum & minimum amount in the box?
290 ml
300 ml
310 ml
299
301
The amount can’t be 299 or 301,
it must be between these amounts.
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m
l
The real amount must be between 299.5 & 300.5 ml.
All these values are closer to 300 than 299 or 301.
Closer to 299
Closer to 301
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What is the maximum & minimum amount in the box?
3
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0
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2
9
9
m
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3
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3
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1
m
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300.5 ml
299.5 ml
What should we write on the box,
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2
9
9
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5
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3
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5
m
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2
9
9
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3
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1
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300.5 ml
299.5 ml
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300.5 rounds to 301
299.5 rounds to 300
Mathematicians decided to round numbers up:
if everyone agreed, we could round numbers down instead!
3
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0
m
l
3.46
A very accurate set of scales measures the weight of a gem as 3.46 g.
How do we describe this weight to the nearest tenth of a gram (1 decimal place)?
3
.
3
3.35
3
.
4
3.45
3
.
5
Closer to 3.5
3.46 rounded to 1dp = 3.5
2.74
A very accurate set of scales measures the weight of a gem as 2.74 g.
How do we describe this weight to the nearest tenth of a gram (1 decimal place)?
2
.
6
2.65
2
.
7
2.75
2
.
8
Closer to 2.7
2
.
7
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1
d
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=
2
.
7
4.55
A very accurate set of scales measures the weight of a gem as 4.55 g.
How do we describe this weight to the nearest tenth of a gram (1 decimal place)?
4
.
4
4.45
4
.
5
4.55
4
.
6
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3.43
For each red gem,
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?
Write each answer in the chat as you work
For each green gem,
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?
7.46
6.75
2.718
5.057
6.499
3.4 g
7.5 g
6.8 g
2.72 g
5.06 g
6.50 g
Round this number to 1 decimal place.
DEMO
5.61
5.61 (1dp) = 5.6
Stay or round up?
C
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K
5.6
Rounding using Decimal Places.
Round this number to 1 decimal place.
DEMO
2.377
2.377 (1dp) = 2.4
Stay or round up?
C
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C
K
2.4
Rounding using Decimal Places.
Rounding using decimal places.
YOUR TURN
Round these numbers to 1 decimal place.
a)
7.83 (1dp) = 7.8
b)
4.652 (1dp) = 4.7
c)
2.9613 (1dp) = 3.0
Round these numbers to 2 decimal places.
d)
0.5492 (2dp) = 0.55
e)
7.40622 (2dp) = 7.41
f)
9.5934 (2dp) = 9.59
Round these numbers to 3 decimal places.
g)
8.22533 (3dp) = 8.225
h)
0.56991 (3dp) = 0.570
i)
12.6557 (3dp) = 12.656
Round this number to 2 decimal places.
1.36801
1.36801 (2dp) = 1.37
Stay or round up?
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K
1.37
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Complete Hegarty Task 56 before our next
lesson
Rounding numbers to the nearest 100, understanding precision in measurements like juice content and weight of gems. Learn why accuracy matters in labeling products and how to round off decimal values effectively.
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Presentation Transcript
Round the following numbers to the nearest 100. 192 Write your answers in the chat. 211 Do not submit until I tell you to! 250 1250
The juice box says it contains 300 ml of juice. How much juice does the box contain? 300 ml It is unlikely the box contains exactly 300 ml. It may be more or less. Why do manufacturers want to be accurate? They don t want to give you much juice for free, but they must legally have the amount stated.
If the amount of juice is 300 ml to the nearest whole number (1 ml): 300 ml What is the maximum & minimum amount in the box? 290 ml 300 ml 310 ml 299 301 The amount can t be 299 or 301, it must be between these amounts.
If the amount of juice is 300 ml to the nearest whole number (1 ml): 300 ml What is the maximum & minimum amount in the box? The real amount must be between 299.5 & 300.5 ml. All these values are closer to 300 than 299 or 301. 299.5 ml 300.5 ml 299 ml 300 ml 301 ml Closer to 299 Closer to 301
What should we write on the box, if the amount of juice is exactly 299.5 ml or 300.5 ml? 300 ml 299.5 rounds to 300 300.5 rounds to 301 299.5 ml 300.5 ml 299 ml 300 ml 301 ml To the nearest 1 ml we round 0.5 ml UP. Mathematicians decided to round numbers up: if everyone agreed, we could round numbers down instead!
3.46 A very accurate set of scales measures the weight of a gem as 3.46 g. How do we describe this weight to the nearest tenth of a gram (1 decimal place)? Closer to 3.5 3.35 3.45 3.3 3.4 3.5 3.46 rounded to 1dp = 3.5
2.74 A very accurate set of scales measures the weight of a gem as 2.74 g. How do we describe this weight to the nearest tenth of a gram (1 decimal place)? Closer to 2.7 2.65 2.75 2.6 2.7 2.8 2.74 rounded to 1dp = 2.7
4.55 A very accurate set of scales measures the weight of a gem as 4.55 g. How do we describe this weight to the nearest tenth of a gram (1 decimal place)? Halfway between, so round UP 4.45 4.55 4.4 4.5 4.6 4.55 rounded to 1dp = 4.6
For each red gem, what is the weight to the nearest tenth of a gram? Write each answer in the chat as you work 3.43 7.46 6.75 3.4 g 7.5 g 6.8 g For each green gem, what is the weight to the nearest hundredth of a gram? 2.718 5.057 6.499 2.72 g 5.06 g 6.50 g
Rounding using Decimal Places. DEMO Round this number to 1 decimal place. Stay or round up? CHECK 5.61 5.6 5.61 (1dp) = 5.6
Rounding using Decimal Places. DEMO Round this number to 1 decimal place. Stay or round up? CHECK 2.377 2.4 2.377 (1dp) = 2.4
Rounding using decimal places. YOUR TURN Round this number to 2 decimal places. Round these numbers to 1 decimal place. a) 7.83 (1dp) = 7.8 b) 4.652 (1dp) = 4.7 c) 2.9613 (1dp) = 3.0 Stay or round up? CHECK 1.36801 1.37 Round these numbers to 2 decimal places. d) 0.5492 (2dp) = 0.55 e) 7.40622 (2dp) = 7.41 f) 9.5934 (2dp) = 9.59 1.36801 (2dp) = 1.37 Round these numbers to 3 decimal places. g) 8.22533 (3dp) = 8.225 h) 0.56991 (3dp) = 0.570 i) 12.6557 (3dp) = 12.656
Review Task Complete Hegarty Task 56 before our next lesson
