2. 1
2
3
4
5 Round numbers to specified place value
Round numbers to significant figure
Round numbers to decimal places
Recognize the number of rounding in a given quantity
Rounding Numbers
At the end of this class you will be able to:
Limit mathematical results to the proper rounding
19. Rounding
4 3
Round 4.31 to 1
decimal place
1
1 2
0. .34
.35
.36
.37
.38
.30
.31
.32
.33
.39
.40 UP
DOWN
20. Rounding
0 7
Round 0.758584
to 1 decimal place
5
1 2
0. 8584
3 4 5 6
.74
.75
.76
.77
.78
.70
.71
.72
.73
.79
.80 UP
DOWN
8
21. Decimal Places
• When we round to decimals, we start
counting as soon as we reach the decimal
point.
Round 17.46789 to 2 decimal places
1 decimal place 2 decimal places, this will
stay a 6 or go to a 7
depending on what the
next number is
35. Significant Figures
• When we round to significant figures, we start
counting as soon as we reach a number that is
not zero
Round 17.46789 to 2 significant figures
1 significant figure 2 significant figures, this
will stay a 7 or go to
a 8 depending on
what the next
number is
All the numbers after
will become zero
Round 17.46789 to 2 significant figures =17.00000 or
just 17
39. Round to 2 sf
Look at the next number
It’s less than 5 so we round down!
0.0000007
3
41
Identify the first significant
figure
1
00
2
40. Round to 2 sf
Look at the next number
It’s less than 5 so we round down!
0.0000007
3
41
Identify the first significant
figure
1
00
2
41. Round to 3 sf
Look at the next number
It’s less than 5 so we round down!
83 7 4 3 70 0 0
Identify the first significant
figure
42. Round to 2 sf
Look at the next number
It’s more than 4 so we round
up!
0 . 00 2 8 99
43. Round to 3 sf
Look at the next number
It’s more than 4 so we round
up!
0 . 00 2 8 790
44. Rounding to Significant Figures
Main
1. When you are rounding to decimal
places you start counting after the
decimal point, but with significant
figures you start counting at the
first non zero number
2.
i. 1000 1500 1460
ii. 200 160 157
iii. 40 37 37.1
iv. 6 6.1 6.09
v. 0.006 0.0064 0.00640
3.
a) 4.7
b) 0.058
c) 0.19
d) 540