Self-Directed Course: Transitional Math
Module 3: Rounding
Lesson #1: Rounding
When rounding numbers look at the digit to the right of the requested digit to determine if you are
going to round up or down. When we round numbers, there are three rules you must remember.
1) All the digits to the left or the rounding digit will always stay the same.
2) If the digit to the right is a 1, 2, 3, or 4 do not change the rounding digit. Anything to the right
side will change to zero.
3) If the digit to the right is a 5, 6, 7, 8, or 9 you change your rounding digit rounds up one number.
Anything to the right side will change to zero.
Place Value Table
hundred
thousands
ten
thousands
Thousands
Hundreds
tens
Ones
●
tenths
hundredths
thousandths
123456.789
1
2
3
4
5
6
●
7
8
9
Rounding to the nearest 10
21 = the 2 in the tens place, look to the right at the 1, and since it’s lower than 5, round down to 20
32 = the 3 in the tens place, look to the right at the 2, and since it’s lower than 5, round down to 30
43 = the 4 in the tens place, look to the right at the 3, and since it’s lower than 5, round down to 40
54 = the 5 in the tens place, look to the right at the 4, and since it’s lower than 5, round down to 50
65 = the 6 in the tens place, look to the right at the 5, and since it’s a 5, round up to 70
76 = the 7 in the tens place, look to the right at the 6, and since it’s higher than 5, round up to 80
87 = the 8 in the tens place, look to the right at the 7, and since it’s higher than 5, round up to 90
98 = the 9 in the tens place, look to the right at the 8, and since it’s higher than 5, round up to 100
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Rounding to the nearest 100
235 = 200
(2 is in the hundreds place, you look to the right at the 3, and since it’s lower than 5, round down)
452 = 500
(4 is in the hundreds place, you look to the right at the 5, and since it’s a 5, round up)
674 = 700
(6 is in the hundreds place, you look to the right at the 7, and since it’s higher than a 5, round up)
1542 = 1500
(5 is in the hundreds place, you look to the right at the 4, and since it’s lower than 5, round down)
Rounding to the nearest 1000
4,356 = 4000
(4 is in the thousands place, so look to the right at the 3, and since it’s lower than 5, round down)
6,734 = 7000
(6 is in the thousands place, you look to the right at the 7, and since it’s higher than a 5, round up)
5,856 = 6000
(5 is in the thousands place, you look to the right at the 8, and since it’s higher than a 5, round up)
12,456 = 12,000
(2 is in the thousands place, so look to the right at the 4, and since it’s lower than 5, round down)
*Remember:
1, 2, 3, or 4 = round down
5, 6, 7, 8, or 9 = round up
Anything to the right side will change to zero
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Assignment #1: Rounding
Round the following to the nearest ten.
1) 37
____________
18) 17
____________
2) 41
____________
19) 11
____________
3) 75
____________
20) 32
____________
4) 42
____________
21) 406
____________
5) 53
____________
22) 731
____________
6) 96
____________
23) 537
____________
7) 85
____________
24) 126
____________
8) 27
____________
25) 233
____________
9) 76
____________
26) 719
____________
10) 23
____________
27) 607
____________
11) 56
____________
28) 727
____________
12) 28
____________
29) 597
____________
13) 22
____________
30) 357
____________
14) 46
____________
31) 453
____________
15) 93
____________
32) 117
____________
16) 78
____________
33) 991
____________
17) 12
____________
34) 255
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
35) 596
____________
37) 333
____________
36) 777
____________
38) 416
____________
Round to the nearest thousand.
1) 15,479
____________
4) 9,586
____________
2) 29,714
____________
5) 37,434
______ ______
3) 3,493
____________
6) 69,653
____________
Round to the nearest ten thousand.
1) 14, 678
____________
4) 44,153
____________
2) 28,084
____________
5) 195,352
____________
3) 246,603
____________
6) 77,441
____________
Round to the nearest ten.
1) 99
____________
4) 611
____________
2) 3,593
____________
5) 56
____________
3) 476
____________
6) 3,762
____________
Round to the nearest hundred.
1) 649
____________
4) 443
____________
2) 3,867
____________
5) 6,484
____________
3) 4,067
____________
6) 776
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Round to the nearest hundred thousand.
1) 818,578
____________
4) 663,845
____________
2) 114,151
____________
5) 333,567
____________
3) 974,147
____________
6) 459,978
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Lesson #2: Rounding with Decimal Numbers
When rounding numbers with decimals, the rules don’t change. You still find the requested rounding
digit, and look to the right of the requested digit to determine if you are going to round up or down.
Remember that:
1) All the digits to the left or the rounding digit will always stay the same.
2) If the digit to the right is a 1, 2, 3, or 4 do not change the rounding digit. Anything to the right
side will change to zero.
3) If the digit to the right is a 5, 6, 7, 8, or 9 you change your rounding digit rounds up one number.
Anything to the right side will change to zero or you can just leave it out.
Sometimes numbers are written in words, and instead of using the word decimal, you can use the word
“and”. For example:
Ten and six tenths = 10.6
Five and forty-five hundredths = 5.45
Eight-teen and Forty-one thousandths = 18.041
Fifty-nine hundredths = 0.59
Three tenths = 0.3
Whenever numbers are written and the last word ends in “ths”, you will know that you’re dealing with a
decimal number. For example: tenths, hundredths, and thousandths.
Place Value Table
Hundreds
Tens
Ones
2
3
4
5
6
●
and
Property of: Portage la Prairie School Division
Thousandths
thousands
1
hundredths
ten
thousands
●
and
tenths
hundred
thousands
123456.789
7
8
9
Self-Directed Course: Transitional Math
Module 3: Rounding
Rounding to the nearest tenths
2.45 = 2.5 or 2.50
(4 is in the tenths place, so look to the right at the 5, and since it’s a 5, round up)
5.43 = 5.4 or 5.40
(4 is in the tenths place, so look to the right at the 3, and since it’s lower than 5, round down)
0.97 = 1
(9 is in the tenths place, so look to the right at the 7, and since it’s higher than 5, round up)
Rounding to the nearest hundredths
2.454 = 2.45 or 2.450
(5 is in the hundredths place, so look to the right at the 4, and since it’s lower than 5, round down)
21.736 = 21.74 or 21.740
(3 is in the hundredths place, so look to the right at the 6, and since it’s higher than 5, round up)
0.546 = 0.55 or 0.550
(4 is in the hundredths place, so look to the right at the 6, and since it’s higher than 5, round up)
Rounding to the nearest thousandths
34.8634 = 34.863 or 34.8630
(3 is in the thousandths place, you look to the right at the 4, and since it’s lower than 5, round down)
7.5646 = 7.565 or 7.5650
(4 is in the thousandths place, you look to the right at the 6, and since it’s higher than 5, round up)
75.6561 = 75.656 or 75.6560
(6 is in the thousandths place, you look to the right at the 1, and since it’s lower than 5, round down)
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Assignment #2: Rounding with Decimal Numbers
Round to the nearest tenths.
1) 13.561
____________
4) 4.48
____________
2) 27.30
____________
5) 7.347
____________
3) 3.391
____________
6) 74.36
____________
Round to the nearest hundredths.
1) 37.986
____________
4) 65.043
____________
2) 4.8095
____________
5) 128.998
____________
3) 4.534
____________
6) 6.336
____________
Round to the nearest thousandths.
1) 0.99976
____________
4) 76.625
____________
2) 1.3784
____________
5) 0.3598
____________
3) 5.2475
____________
6) 4.3862
____________
Round to the nearest tenths.
1) 7.946
____________
4) 4.43
____________
2) 2.967
____________
5) 34.95
____________
3) 8.039
____________
6) 45.47
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Round to the nearest hundredths.
1) 67.579
____________
4) 643.608
____________
2) 11.144
____________
5) 434.567
____________
3) 7.4234
____________
6) 599.995
____________
Write the decimal number for the following.
1) Two and seven tenths
____________
2) Eight and three tenths
____________
3) Five tenths
____________
4) Four and nine tenths
____________
5) Six tenths
____________
6) Three and three tenths
____________
7) Seven and four tenths
____________
8) Eleven and eight tenths
____________
9) Zero and five hundredths
____________
10) Nine tenths
____________
11) Three hundred and two hundredths
____________
12) Four and four tenths
____________
13) Four and six tenths
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
14) One and eight tenths
____________
15) Twelve and seven tenths
____________
16) Zero and eight tenths
____________
17) Eighty-two hundredths
____________
18) Sixty-one hundredths
____________
19) Two tenths
____________
20) Four tenths
____________
21) Sixty-three hundredths
____________
22) Twenty-eight hundredths
____________
23) Fifty-four hundredths
____________
24) Eighty-two hundredths
____________
25) Ninety-seven hundredths
____________
26) Sixty-six hundredths
____________
27) Thirteen hundredths
____________
28) Ninety-six hundredths
____________
29) Forty-one hundredths
____________
30) Eighty-five hundredths
____________
31) Twenty-one hundredths
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
32) Thirty-eight hundredths
____________
33) Fifty-seven hundredths
____________
34) Sixty-two hundredths
____________
35) Seven hundredths
____________
36) Three tenths
____________
37) Eleven and twenty-nine hundredths
____________
38) Four and fifty-four hundredths
____________
39) Six and eighty-two hundredths
____________
40) Twelve and eleven hundredths
____________
41) Eight and eight hundredths
____________
42) Two and eight hundredths
____________
43) Fifty-two and seven hundredths
____________
44) Nine and sixty-four hundredths
____________
45) Five and seventy-five hundredths
____________
46) Six and eighty-one hundredths
____________
47) Three and forty-two hundredths
____________
48) Five and fifty-five hundredths
____________
49) One and eighty-one hundredths
____________
50) Seven and sixty-two hundredths
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
51) Three and seventy-five hundredths
____________
52) Eight and ninety-four hundredths
____________
53) Two and sixteen hundredths
____________
54) Five and seven hundredths
____________
55) Seven and ninety-nine hundredths
____________
56) Three and seventy-two hundredths
____________
57) Ninety-five hundredths
____________
58) Thirty-eight fiftieths
____________
59) Eight fiftieths
____________
60) Four tenths
____________
61) Seventy-two hundredths
____________
62) Two tenths
____________
63) Nine fifths
____________
64) Eighteen twentieths
____________
65) Ninety-four hundredths
____________
66) Seventy-six hundredths
____________
67) One fourth
____________
68) Fifty-two hundredths
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
69) Seven and eleven fiftieths
____________
70) Two and sixteen twenty-fifths
____________
71) Five and eighty-two hundredths
____________
72) Three and eleven hundredths
____________
73) Eight and two twentieth
____________
74) Four and one twenty-fifth
____________
75) Sixteen and four twenty-fifths
____________
76) Six and forty-one fiftieths
____________
77) Three and twenty-one twenty-fifths
____________
78) Seven and eighty-eight hundredths
____________
79) Four and thirteen twenty-fifths
____________
80) Eight and eleven twenty-fifths
____________
81) Nine and ninety-one hundredths
____________
82) Seven and sixty-one hundredths
____________
83) Six and two fourths
____________
84) Three and seventeen twentieths
____________
85) Six and four twenty-fifths
____________
86) Five and two fiftieths
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Lesson #3: Using Fractions to Write Decimal Numbers
To write a fraction as a decimal number, look at the denominator (bottom number of a fraction) to
determine what place value the numerator (top number) should be written in. For example:
10 = tenths
100 = hundredths
1000 = thousandths
଻
ଵ଴
଻
ଵ଴଴
଻
=
ଵ଴଴଴
= 0.7
ସ
= 0.07
ଵ଺
2ଵ଴ = 2.4
4 ଵ଴଴ = 4.16
0.007
ଶ଻
4 ଵ଴଴଴ = 4.027
Sometimes you will see fractions where the denominator is not 10, 100, or 1000. When this happens,
simply change the bottom number by multiplying the denominator to make it into a 10, 100, or 1000.
When you do this, make sure you do the same to the numerator. For example:
1)
ଶ
ହ
ଶ௫ଶ
ହ௫ଶ
ସ
= ଵ଴ = 0.4
ଶ
2) 3 ସ
ଶ ௫ ଶହ
ହ଴
3 ସ ௫ ଶହ = 3 ଵ଴଴ = 3.50
(make sure you include the zero because you’re dealing with the
hundredths place value)
ଵଶ
3) 4 ହ଴
ଵଶ ௫ ଶ
ଶସ
4 ହ଴ ௫ ଶ = 4 ଵ଴଴ = 4.24
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
Assignment #3: Using Fractions to Write Decimal Numbers
Write the decimal number for the following.
଻
ଵ଴
1) 4
ଶ
2) 5ଵ଴
ଶ
3) 3ଵ଴
ଷ
4) 4ଵ଴
଺
5) 2ଵ଴
ହ
6) 7ଵ଴
ଽ
7) 8ଵ଴
ଶ
8) 4ଵ଴
ହ
9) 2ଵ଴
ସ
10) 5ଵ଴
ଷ
ଵ଴
____________
11) 3
____________
12) 2ଵ଴
____________
____________
13)
଻ଵ
ଵ଴଴
____________
____________
14)
ଷଶ
ଵ଴଴
____________
____________
15)
ଵ
ଵ଴
____________
____________
16)
଺
ଵ଴
____________
____________
17)
଻ଷ
ଵ଴଴
____________
____________
18)
ଶ଻
ଵ଴଴
____________
____________
19)
ଷସ
ଵ଴଴
____________
____________
20)
଺ହ
ଵ଴଴
____________
Property of: Portage la Prairie School Division
଻
____________
Self-Directed Course: Transitional Math
Module 3: Rounding
21)
ଽଶ
ଵ଴଴
____________
32)
22)
଺଺
ଵ଴଴
____________
33) 8ଵ଴଴
____________
23)
ଵ଺
ଵ଴଴
____________
34) 3
଺଻
ଵ଴଴
____________
24)
ସ଻
ଵ଴଴
____________
35) 2ଵ଴଴
25)
ହସ
ଵ଴଴
____________
36) 5ଵ଴଴
26)
଻ଶ
ଵ଴଴
____________
37) 7ଵ଴଴
27)
ଶ଻
ଵ଴଴
____________
38) 3ଵ଴଴
28)
ସ଼
ଵ଴଴
____________
39) 4ଵ଴଴
29)
ଶ଺
ଵ଴଴
____________
40) 7ଵ଴଴
30)
ଵ଺
ଵ଴଴
____________
41) 6ଵ଴଴
31)
଻
ଵ଴଴
____________
42) 5ଵ଴଴
Property of: Portage la Prairie School Division
ସ
ଵ଴
____________
ଶହ
଼଺
ଵଵ
ହ
଺ଵ
଼ହ
ଵଶ
଻
ଶହ
____________
____________
____________
____________
____________
____________
____________
____________
Self-Directed Course: Transitional Math
Module 3: Rounding
ଵସ
43) 3ଵ଴଴
ଶସ
44) 7ଵ଴଴
ହହ
45) 5ଵ଴଴
ସ଺
46) 6ଵ଴଴
ହ଻
47) 3ଵ଴଴
ସଷ
48) 6ଵ଴଴
଻ଵ
49) 5ଵ଴଴
଺ଶ
50) 6ଵ଴଴
ହ଺
51) 5ଵ଴଴
ସହ
52) 4ଵ଴଴
53)
ଷଵ
ଵ଴଴
____________
54)
ଶଵ
ହ଴
____________
____________
55)
଻
ହ଴
____________
____________
56)
ଷ
ଵ଴
____________
____________
57)
଻଻
ଵ଴଴
____________
____________
58)
ହ
ଵ଴
____________
____________
59)
ସ
ହ
____________
____________
60)
ଵ଺
ଶ଴
____________
____________
61)
ଽଶ
ଵ଴଴
____________
____________
62)
଺ସ
ଵ଴଴
____________
____________
63)
ଶ
ସ
____________
____________
64)
ଷଷ
ଵ଴଴
____________
Property of: Portage la Prairie School Division
Self-Directed Course: Transitional Math
Module 3: Rounding
65)
ଶଶ
ଶହ
____________
76) 17
66)
ଵ଻
ଶହ
____________
77) 14ଶ଴
67)
ଶ଼
ଵ଴଴
____________
78) 5ଶହ
68)
ହ
ଵ଴
____________
79) 5ଶହ
69)
ସ
ହ
____________
80) 6ହ଴
70)
ଵ଺
ଶହ
____________
81) 6ଶହ
71)
଼
ଶହ
____________
82) 6
72)
ଷହ
ଵ଴଴
____________
83) 1ଶହ
____________
84) 4ଶହ
____________
85) 5ଵ଴଴
____________
86) 6ଵ଴଴
ଵ଺
73) 9 ହ଴
ଶ଴
74) 4ଶହ
଺ଷ
75) 3ଵ଴଴
Property of: Portage la Prairie School Division
ସଵ
ଵ଴଴
ସ
ଵଶ
଺
ଷ଼
ଶସ
଼ଵ
ଵ଴଴
ଵଶ
ଵ଼
଺ଵ
଼ହ
____________
____________
____________
____________
____________
____________
____________
____________
____________
____________
____________