# "Placing Decimals With Multiplication Worksheet With Answer Key"

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Name:
Placing Decimals with Multiplication
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
A n s w e r s
A n s w e r s
Name:
Name:
Name:
Placing Decimals with Multiplication
Placing Decimals with Multiplication
Placing Decimals with Multiplication
4
5
3
1
0
2
5.809 × 7.8 =
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
19.8456
19.8456
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
1.
Count the quantity of num
bers to the ri
ght of the
1.
2.
decimal for each factor.
should have the sam
e quantity of numbers
5.809 × 7.8 =
5.809 × 7.8 =
5.809 × 7.8 =
4 4 4
5 5 5
3 3 3
1 1 1
0 0 0
2 2 2
to the right of the decimal.
1. 1. 1.
5.42443
5.42443
Count the quantity of num
Count the quantity of num
bers to the ri
bers to the ri
ght of the
ght of the
Count the quantity of num
bers to the ri
ght of the
1. 1. 1.
5.809 has 3 numbers right of the decim
al (5.809)
2. 2. 2.
2.
19.8456
19.8456
19.8456
19.8456
19.8456
19.8456
decimal for each factor.
decimal for each factor.
decimal for each factor.
should have the sam
should have the sam
should have the sam
e quantity of numbers
e quantity of numbers
e quantity of numbers
3 +
1 = 4
7.8 has 1 number right
of the decimal (7.8)
to the right of the decimal.
to the right of the decimal.
to the right of the decimal.
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.809 has 3 numbers right of the decim
5.809 has 3 numbers right of the decim
5.809 has 3 numbers right of the decim
al (5.809)
al (5.809)
al (5.809)
2. 2. 2.
33.397
33.397
3 +
3 +
3 +
1 = 4
1 = 4
1 = 4
3.
5.42443
5.42443
5.42443
5.42443
5.42443
5.42443
7.8 has 1 number right
7.8 has 1 number right
7.8 has 1 number right
of the decimal (7.8)
of the decimal (7.8)
of the decimal (7.8)
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.089 (3) × 7.8 (1) = 45.3102 (4)
Also notice that 5 × 7 = 35 and 6 ×
8 = 48 , so 5.809
× 7.8 will be a m
ore than 35 but less than 48.
3. 3. 3.
54.145
54.145
4.
33.397
33.397
33.397
33.397
33.397
33.397
Also notice that 5 × 7 = 35 and 6 ×
Also notice that 5 × 7 = 35 and 6 ×
Also notice that 5 × 7 = 35 and 6 ×
8 = 48 , so 5.809
8 = 48 , so 5.809
8 = 48 , so 5.809
× 7.8 will be a m
× 7.8 will be a m
× 7.8 will be a m
ore than 35 but less than 48.
ore than 35 but less than 48.
ore than 35 but less than 48.
.
8.269 × 2.4 =
1
9
8
4
5
6
1) 1)
4. 4. 4.
9.561
9.561
5.
54.145
54.145
54.145
54.145
54.145
54.145
.
1.21 × 4.483 =
5
4
2
4
4
3
2) 2)
8.269 × 2.4 =
8.269 × 2.4 =
8.269 × 2.4 =
1 1 1
9 9 9
8
8
8
4
4
4
5
5
5
6
6
6
1) 1) 1) 1) 1) 1)
. . .
5. 5. 5.
20.020
20.020
.
6.
9.561
9.561
9.561
9.561
9.561
9.561
3.67 × 9.1 =
3
3
3
9
7
3) 3)
1.21 × 4.483 =
1.21 × 4.483 =
1.21 × 4.483 =
5 5 5
4
4
4
2
2
2
4
4
4
4
4
4
3
3
3
2) 2) 2) 2) 2) 2)
. . .
.
6. 6. 6.
3.51
3.51
5.95 × 9.1 =
5
4
1
4
5
4) 4)
3.67 × 9.1 =
3.67 × 9.1 =
3.67 × 9.1 =
3 3 3
3 3 3
3
3
3
9
9
9
7
7
7
3) 3) 3) 3) 3) 3)
7.
20.020
20.020
20.020
20.020
20.020
20.020
. . .
.
1 × 9.561 =
9
5
6
1
5) 5)
7. 7. 7.
5.95 × 9.1 =
5.95 × 9.1 =
5.95 × 9.1 =
5 5 5
4 4 4
1
1
1
4
4
4
5
5
5
39.30
39.30
4) 4) 4) 4) 4) 4)
8.
3.51
3.51
3.51
3.51
. . .
3.51
3.51
.
3.64 × 5.5 =
2
0
0
2
0
6) 6)
1 × 9.561 =
1 × 9.561 =
1 × 9.561 =
9 9 9
5
5
5
6
6
6
1
1
1
5) 5) 5) 5) 5) 5)
8. 8. 8.
16.86055
16.86055
. . .
9.
39.30
39.30
39.30
39.30
39.30
39.30
.
3 × 1.17 =
3
5
1
7) 7)
3.64 × 5.5 =
3.64 × 5.5 =
2 2 2
0 0 0
0
0
2
2
0
0
3.64 × 5.5 =
0
2
0
6) 6) 6) 6) 6) 6)
. . .
9. 9. 9.
22.18892
22.18892
.
10.
16.86055
16.86055
16.86055
16.86055
16.86055
16.86055
5 × 7.86 =
3
9
3
0
8) 8)
3 × 1.17 =
3 × 1.17 =
3 × 1.17 =
3 3 3
5
5
5
1
1
1
7) 7) 7) 7) 7) 7)
. . .
.
10.
10.
10.
73.689
73.689
4.69 × 3.595 =
1
6
8
6
0
5
5
9) 9)
5 × 7.86 =
5 × 7.86 =
3 3 3
9 9 9
3
3
0
0
11.
5 × 7.86 =
3
0
22.18892
22.18892
22.18892
22.18892
22.18892
22.18892
8) 8) 8) 8) 8) 8)
. . .
.
2.84 × 7.813 =
2
2
1
8
8
9
2
10)
10)
11.
11.
11.
7.114
7.114
4.69 × 3.595 =
4.69 × 3.595 =
4.69 × 3.595 =
1 1 1
6 6 6
8
8
8
6
6
6
0
0
0
5
5
5
5
5
5
9) 9) 9) 9) 9) 9)
12.
73.689
73.689
73.689
73.689
73.689
73.689
. . .
.
8.7 × 8.47 =
7
3
6
8
9
11)
11)
2.84 × 7.813 =
2.84 × 7.813 =
2.84 × 7.813 =
2 2 2
2 2 2
1
1
1
8
8
8
8
8
8
9
9
9
2
2
2
10)
10)
10)
10)
10)
10)
12.
12.
12.
23.68142
23.68142
. . .
13.
7.114
7.114
7.114
7.114
7.114
7.114
.
2 × 3.557 =
7
1
1
4
12)
12)
8.7 × 8.47 =
8.7 × 8.47 =
8.7 × 8.47 =
7 7 7
3 3 3
6
6
6
8
8
8
9
9
9
11)
11)
11)
11)
11)
11)
. . .
13.
13.
13.
71.368
71.368
.
14.
23.68142
23.68142
23.68142
23.68142
23.68142
23.68142
8.54 × 2.773 =
2
3
6
8
1
4
2
13)
13)
2 × 3.557 =
2 × 3.557 =
7 7 7
1
1
1
1
4
4
2 × 3.557 =
1
1
4
12)
12)
12)
12)
12)
12)
. . .
.
14.
14.
14.
21.4594
21.4594
8.8 × 8.11 =
7
1
3
6
8
14)
14)
15.
71.368
71.368
71.368
71.368
71.368
71.368
8.54 × 2.773 =
8.54 × 2.773 =
8.54 × 2.773 =
2 2 2
3 3 3
6
6
6
8
8
8
1
1
1
4
4
4
2
2
2
13)
13)
13)
13)
13)
13)
. . .
.
8.2 × 2.617 =
2
1
4
5
9
4
15.
15.
15.
15)
15)
25.3854
25.3854
8.8 × 8.11 =
8.8 × 8.11 =
8.8 × 8.11 =
7 7 7
1 1 1
3
3
3
6
6
6
8
8
8
14)
14)
14)
14)
14)
14)
16.
21.4594
21.4594
21.4594
21.4594
21.4594
21.4594
. . .
.
3.134 × 8.1 =
2
5
3
8
5
4
16)
16)
8.2 × 2.617 =
8.2 × 2.617 =
8.2 × 2.617 =
2 2 2
1 1 1
4
4
4
5
5
5
9
9
9
4
4
4
15)
15)
15)
15)
15)
15)
16.
16.
16.
67.13616
67.13616
. . .
17.
25.3854
25.3854
25.3854
25.3854
25.3854
25.3854
.
8.268 × 8.12 =
6
7
1
3
6
1
6
17)
17)
3.134 × 8.1 =
3.134 × 8.1 =
3.134 × 8.1 =
2 2 2
5 5 5
3
3
3
8
8
8
5
5
5
4
4
4
16)
16)
16)
16)
16)
16)
. . .
17.
17.
17.
81.969
81.969
.
18.
67.13616
67.13616
67.13616
67.13616
67.13616
67.13616
9.21 × 8.9 =
8
1
9
6
9
18)
18)
8.268 × 8.12 =
8.268 × 8.12 =
8.268 × 8.12 =
6 6 6
7 7 7
1
1
1
3
3
3
6
6
6
1
1
1
6
6
6
17)
17)
17)
17)
17)
17)
. . .
18.
18.
18.
51.54
51.54
.
6 × 8.59 =
5
1
5
4
19.
19)
19)
81.969
81.969
81.969
81.969
81.969
81.969
9.21 × 8.9 =
9.21 × 8.9 =
9.21 × 8.9 =
8 8 8
1 1 1
9
9
9
6
6
6
9
9
9
18)
18)
18)
18)
18)
18)
. . .
.
19.
19.
19.
4.846 × 5.74 =
2
7
8
1
6
0
4
27.81604
27.81604
20)
20)
6 × 8.59 =
6 × 8.59 =
6 × 8.59 =
5 5 5
1 1 1
5
5
5
4
4
4
19)
19)
19)
19)
19)
19)
20.
51.54
51.54
51.54
51.54
51.54
51.54
. . .
1-10
95 90 85 80 75 70 65 60 55 50
9
Math
Math
4.846 × 5.74 =
4.846 × 5.74 =
4.846 × 5.74 =
2 2 2
7 7 7
8
8
8
1
1
1
6
6
6
0
0
0
4
4
4
20)
20)
20)
20)
20)
20)
20.
20.
20.
11-20
45 40 35 30 25 20 15 10
5
0
. . .
27.81604
27.81604
27.81604
27.81604
27.81604
27.81604
95 90 85 80 75 70 65 60 55 50
95 90 85 80 75 70 65 60 55 50
1-10
1-10
1-10
95 90 85 80 75 70 65 60 55 50
45 40 35 30 25 20 15 10
45 40 35 30 25 20 15 10
5 5 5
0 0 0
11-20
11-20
11-20
45 40 35 30 25 20 15 10
Math
Math
Math
Math
Math
Math
9 9 9
Name:
Placing Decimals with Multiplication
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
A n s w e r s
A n s w e r s
Name:
Name:
Name:
Placing Decimals with Multiplication
Placing Decimals with Multiplication
Placing Decimals with Multiplication
4
5
3
1
0
2
5.809 × 7.8 =
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
19.8456
19.8456
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
1.
Count the quantity of num
bers to the ri
ght of the
1.
2.
decimal for each factor.
should have the sam
e quantity of numbers
5.809 × 7.8 =
5.809 × 7.8 =
5.809 × 7.8 =
4 4 4
5 5 5
3 3 3
1 1 1
0 0 0
2 2 2
to the right of the decimal.
1. 1. 1.
5.42443
5.42443
Count the quantity of num
Count the quantity of num
bers to the ri
bers to the ri
ght of the
ght of the
Count the quantity of num
bers to the ri
ght of the
1. 1. 1.
5.809 has 3 numbers right of the decim
al (5.809)
2. 2. 2.
2.
19.8456
19.8456
19.8456
19.8456
19.8456
19.8456
decimal for each factor.
decimal for each factor.
decimal for each factor.
should have the sam
should have the sam
should have the sam
e quantity of numbers
e quantity of numbers
e quantity of numbers
3 +
1 = 4
7.8 has 1 number right
of the decimal (7.8)
to the right of the decimal.
to the right of the decimal.
to the right of the decimal.
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.809 has 3 numbers right of the decim
5.809 has 3 numbers right of the decim
5.809 has 3 numbers right of the decim
al (5.809)
al (5.809)
al (5.809)
2. 2. 2.
33.397
33.397
3 +
3 +
3 +
1 = 4
1 = 4
1 = 4
3.
5.42443
5.42443
5.42443
5.42443
5.42443
5.42443
7.8 has 1 number right
7.8 has 1 number right
7.8 has 1 number right
of the decimal (7.8)
of the decimal (7.8)
of the decimal (7.8)
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.089 (3) × 7.8 (1) = 45.3102 (4)
Also notice that 5 × 7 = 35 and 6 ×
8 = 48 , so 5.809
× 7.8 will be a m
ore than 35 but less than 48.
3. 3. 3.
54.145
54.145
4.
33.397
33.397
33.397
33.397
33.397
33.397
Also notice that 5 × 7 = 35 and 6 ×
Also notice that 5 × 7 = 35 and 6 ×
Also notice that 5 × 7 = 35 and 6 ×
8 = 48 , so 5.809
8 = 48 , so 5.809
8 = 48 , so 5.809
× 7.8 will be a m
× 7.8 will be a m
× 7.8 will be a m
ore than 35 but less than 48.
ore than 35 but less than 48.
ore than 35 but less than 48.
.
8.269 × 2.4 =
1
9
8
4
5
6
1) 1)
4. 4. 4.
9.561
9.561
5.
54.145
54.145
54.145
54.145
54.145
54.145
.
1.21 × 4.483 =
5
4
2
4
4
3
2) 2)
8.269 × 2.4 =
8.269 × 2.4 =
8.269 × 2.4 =
1 1 1
9 9 9
8
8
8
4
4
4
5
5
5
6
6
6
1) 1) 1) 1) 1) 1)
. . .
5. 5. 5.
20.020
20.020
.
6.
9.561
9.561
9.561
9.561
9.561
9.561
3.67 × 9.1 =
3
3
3
9
7
3) 3)
1.21 × 4.483 =
1.21 × 4.483 =
1.21 × 4.483 =
5 5 5
4
4
4
2
2
2
4
4
4
4
4
4
3
3
3
2) 2) 2) 2) 2) 2)
. . .
.
6. 6. 6.
3.51
3.51
5.95 × 9.1 =
5
4
1
4
5
4) 4)
3.67 × 9.1 =
3.67 × 9.1 =
3.67 × 9.1 =
3 3 3
3 3 3
3
3
3
9
9
9
7
7
7
3) 3) 3) 3) 3) 3)
7.
20.020
20.020
20.020
20.020
20.020
20.020
. . .
.
1 × 9.561 =
9
5
6
1
5) 5)
7. 7. 7.
5.95 × 9.1 =
5.95 × 9.1 =
5.95 × 9.1 =
5 5 5
4 4 4
1
1
1
4
4
4
5
5
5
39.30
39.30
4) 4) 4) 4) 4) 4)
8.
3.51
3.51
3.51
3.51
. . .
3.51
3.51
.
3.64 × 5.5 =
2
0
0
2
0
6) 6)
1 × 9.561 =
1 × 9.561 =
1 × 9.561 =
9 9 9
5
5
5
6
6
6
1
1
1
5) 5) 5) 5) 5) 5)
8. 8. 8.
16.86055
16.86055
. . .
9.
39.30
39.30
39.30
39.30
39.30
39.30
.
3 × 1.17 =
3
5
1
7) 7)
3.64 × 5.5 =
3.64 × 5.5 =
2 2 2
0 0 0
0
0
2
2
0
0
3.64 × 5.5 =
0
2
0
6) 6) 6) 6) 6) 6)
. . .
9. 9. 9.
22.18892
22.18892
.
10.
16.86055
16.86055
16.86055
16.86055
16.86055
16.86055
5 × 7.86 =
3
9
3
0
8) 8)
3 × 1.17 =
3 × 1.17 =
3 × 1.17 =
3 3 3
5
5
5
1
1
1
7) 7) 7) 7) 7) 7)
. . .
.
10.
10.
10.
73.689
73.689
4.69 × 3.595 =
1
6
8
6
0
5
5
9) 9)
5 × 7.86 =
5 × 7.86 =
3 3 3
9 9 9
3
3
0
0
11.
5 × 7.86 =
3
0
22.18892
22.18892
22.18892
22.18892
22.18892
22.18892
8) 8) 8) 8) 8) 8)
. . .
.
2.84 × 7.813 =
2
2
1
8
8
9
2
10)
10)
11.
11.
11.
7.114
7.114
4.69 × 3.595 =
4.69 × 3.595 =
4.69 × 3.595 =
1 1 1
6 6 6
8
8
8
6
6
6
0
0
0
5
5
5
5
5
5
9) 9) 9) 9) 9) 9)
12.
73.689
73.689
73.689
73.689
73.689
73.689
. . .
.
8.7 × 8.47 =
7
3
6
8
9
11)
11)
2.84 × 7.813 =
2.84 × 7.813 =
2.84 × 7.813 =
2 2 2
2 2 2
1
1
1
8
8
8
8
8
8
9
9
9
2
2
2
10)
10)
10)
10)
10)
10)
12.
12.
12.
23.68142
23.68142
. . .
13.
7.114
7.114
7.114
7.114
7.114
7.114
.
2 × 3.557 =
7
1
1
4
12)
12)
8.7 × 8.47 =
8.7 × 8.47 =
8.7 × 8.47 =
7 7 7
3 3 3
6
6
6
8
8
8
9
9
9
11)
11)
11)
11)
11)
11)
. . .
13.
13.
13.
71.368
71.368
.
14.
23.68142
23.68142
23.68142
23.68142
23.68142
23.68142
8.54 × 2.773 =
2
3
6
8
1
4
2
13)
13)
2 × 3.557 =
2 × 3.557 =
7 7 7
1
1
1
1
4
4
2 × 3.557 =
1
1
4
12)
12)
12)
12)
12)
12)
. . .
.
14.
14.
14.
21.4594
21.4594
8.8 × 8.11 =
7
1
3
6
8
14)
14)
15.
71.368
71.368
71.368
71.368
71.368
71.368
8.54 × 2.773 =
8.54 × 2.773 =
8.54 × 2.773 =
2 2 2
3 3 3
6
6
6
8
8
8
1
1
1
4
4
4
2
2
2
13)
13)
13)
13)
13)
13)
. . .
.
8.2 × 2.617 =
2
1
4
5
9
4
15.
15.
15.
15)
15)
25.3854
25.3854
8.8 × 8.11 =
8.8 × 8.11 =
8.8 × 8.11 =
7 7 7
1 1 1
3
3
3
6
6
6
8
8
8
14)
14)
14)
14)
14)
14)
16.
21.4594
21.4594
21.4594
21.4594
21.4594
21.4594
. . .
.
3.134 × 8.1 =
2
5
3
8
5
4
16)
16)
8.2 × 2.617 =
8.2 × 2.617 =
8.2 × 2.617 =
2 2 2
1 1 1
4
4
4
5
5
5
9
9
9
4
4
4
15)
15)
15)
15)
15)
15)
16.
16.
16.
67.13616
67.13616
. . .
17.
25.3854
25.3854
25.3854
25.3854
25.3854
25.3854
.
8.268 × 8.12 =
6
7
1
3
6
1
6
17)
17)
3.134 × 8.1 =
3.134 × 8.1 =
3.134 × 8.1 =
2 2 2
5 5 5
3
3
3
8
8
8
5
5
5
4
4
4
16)
16)
16)
16)
16)
16)
. . .
17.
17.
17.
81.969
81.969
.
18.
67.13616
67.13616
67.13616
67.13616
67.13616
67.13616
9.21 × 8.9 =
8
1
9
6
9
18)
18)
8.268 × 8.12 =
8.268 × 8.12 =
8.268 × 8.12 =
6 6 6
7 7 7
1
1
1
3
3
3
6
6
6
1
1
1
6
6
6
17)
17)
17)
17)
17)
17)
. . .
18.
18.
18.
51.54
51.54
.
6 × 8.59 =
5
1
5
4
19.
19)
19)
81.969
81.969
81.969
81.969
81.969
81.969
9.21 × 8.9 =
9.21 × 8.9 =
9.21 × 8.9 =
8 8 8
1 1 1
9
9
9
6
6
6
9
9
9
18)
18)
18)
18)
18)
18)
. . .
.
19.
19.
19.
4.846 × 5.74 =
2
7
8
1
6
0
4
27.81604
27.81604
20)
20)
6 × 8.59 =
6 × 8.59 =
6 × 8.59 =
5 5 5
1 1 1
5
5
5
4
4
4
19)
19)
19)
19)
19)
19)
20.
51.54
51.54
51.54
51.54
51.54
51.54
. . .
1-10
95 90 85 80 75 70 65 60 55 50
9
Math
Math
4.846 × 5.74 =
4.846 × 5.74 =
4.846 × 5.74 =
2 2 2
7 7 7
8
8
8
1
1
1
6
6
6
0
0
0
4
4
4
20)
20)
20)
20)
20)
20)
20.
20.
20.
11-20
45 40 35 30 25 20 15 10
5
0
. . .
27.81604
27.81604
27.81604
27.81604
27.81604
27.81604
95 90 85 80 75 70 65 60 55 50
95 90 85 80 75 70 65 60 55 50
1-10
1-10
1-10
95 90 85 80 75 70 65 60 55 50
45 40 35 30 25 20 15 10
45 40 35 30 25 20 15 10
5 5 5
0 0 0
11-20
11-20
11-20
45 40 35 30 25 20 15 10
Math
Math
Math
Math
Math
Math
9 9 9
Key
Key
Name:
Placing Decimals with Multiplication
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
A n s w e r s
A n s w e r s
Name:
Name:
Name:
Placing Decimals with Multiplication
Placing Decimals with Multiplication
Placing Decimals with Multiplication
Key
Key
Key
Key
Key
Key
4
5
3
1
0
2
5.809 × 7.8 =
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
Determine the placement of the decimal in each product.
19.8456
19.8456
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
A n s w e r s
1.
Count the quantity of num
bers to the ri
ght of the
1.
2.
decimal for each factor.
should have the sam
e quantity of numbers
5.809 × 7.8 =
5.809 × 7.8 =
5.809 × 7.8 =
4 4 4
5 5 5
3 3 3
1 1 1
0 0 0
2 2 2
to the right of the decimal.
1. 1. 1.
5.42443
5.42443
Count the quantity of num
Count the quantity of num
bers to the ri
bers to the ri
ght of the
ght of the
Count the quantity of num
bers to the ri
ght of the
1. 1. 1.
5.809 has 3 numbers right of the decim
al (5.809)
2. 2. 2.
2.
19.8456
19.8456
19.8456
19.8456
19.8456
19.8456
decimal for each factor.
decimal for each factor.
decimal for each factor.
should have the sam
should have the sam
should have the sam
e quantity of numbers
e quantity of numbers
e quantity of numbers
3 +
1 = 4
7.8 has 1 number right
of the decimal (7.8)
to the right of the decimal.
to the right of the decimal.
to the right of the decimal.
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.809 has 3 numbers right of the decim
5.809 has 3 numbers right of the decim
5.809 has 3 numbers right of the decim
al (5.809)
al (5.809)
al (5.809)
2. 2. 2.
33.397
33.397
3 +
3 +
3 +
1 = 4
1 = 4
1 = 4
3.
5.42443
5.42443
5.42443
5.42443
5.42443
5.42443
7.8 has 1 number right
7.8 has 1 number right
7.8 has 1 number right
of the decimal (7.8)
of the decimal (7.8)
of the decimal (7.8)
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.089 (3) × 7.8 (1) = 45.3102 (4)
5.089 (3) × 7.8 (1) = 45.3102 (4)
Also notice that 5 × 7 = 35 and 6 ×
8 = 48 , so 5.809
× 7.8 will be a m
ore than 35 but less than 48.
3. 3. 3.
54.145
54.145
4.
33.397
33.397
33.397
33.397
33.397
33.397
Also notice that 5 × 7 = 35 and 6 ×
Also notice that 5 × 7 = 35 and 6 ×
Also notice that 5 × 7 = 35 and 6 ×
8 = 48 , so 5.809
8 = 48 , so 5.809
8 = 48 , so 5.809
× 7.8 will be a m
× 7.8 will be a m
× 7.8 will be a m
ore than 35 but less than 48.
ore than 35 but less than 48.
ore than 35 but less than 48.
.
8.269 × 2.4 =
1
9
8
4
5
6
1) 1)
4. 4. 4.
9.561
9.561
5.
54.145
54.145
54.145
54.145
54.145
54.145
.
1.21 × 4.483 =
5
4
2
4
4
3
2) 2)
8.269 × 2.4 =
8.269 × 2.4 =
8.269 × 2.4 =
1 1 1
9 9 9
8
8
8
4
4
4
5
5
5
6
6
6
1) 1) 1) 1) 1) 1)
. . .
5. 5. 5.
20.020
20.020
.
6.
9.561
9.561
9.561
9.561
9.561
9.561
3.67 × 9.1 =
3
3
3
9
7
3) 3)
1.21 × 4.483 =
1.21 × 4.483 =
1.21 × 4.483 =
5 5 5
4
4
4
2
2
2
4
4
4
4
4
4
3
3
3
2) 2) 2) 2) 2) 2)
. . .
.
6. 6. 6.
3.51
3.51
5.95 × 9.1 =
5
4
1
4
5
4) 4)
3.67 × 9.1 =
3.67 × 9.1 =
3.67 × 9.1 =
3 3 3
3 3 3
3
3
3
9
9
9
7
7
7
3) 3) 3) 3) 3) 3)
7.
20.020
20.020
20.020
20.020
20.020
20.020
. . .
.
1 × 9.561 =
9
5
6
1
5) 5)
7. 7. 7.
5.95 × 9.1 =
5.95 × 9.1 =
5.95 × 9.1 =
5 5 5
4 4 4
1
1
1
4
4
4
5
5
5
39.30
39.30
4) 4) 4) 4) 4) 4)
8.
3.51
3.51
3.51
3.51
. . .
3.51
3.51
.
3.64 × 5.5 =
2
0
0
2
0
6) 6)
1 × 9.561 =
1 × 9.561 =
1 × 9.561 =
9 9 9
5
5
5
6
6
6
1
1
1
5) 5) 5) 5) 5) 5)
8. 8. 8.
16.86055
16.86055
. . .
9.
39.30
39.30
39.30
39.30
39.30
39.30
.
3 × 1.17 =
3
5
1
7) 7)
3.64 × 5.5 =
3.64 × 5.5 =
2 2 2
0 0 0
0
0
2
2
0
0
3.64 × 5.5 =
0
2
0
6) 6) 6) 6) 6) 6)
. . .
9. 9. 9.
22.18892
22.18892
.
10.
16.86055
16.86055
16.86055
16.86055
16.86055
16.86055
5 × 7.86 =
3
9
3
0
8) 8)
3 × 1.17 =
3 × 1.17 =
3 × 1.17 =
3 3 3
5
5
5
1
1
1
7) 7) 7) 7) 7) 7)
. . .
.
10.
10.
10.
73.689
73.689
4.69 × 3.595 =
1
6
8
6
0
5
5
9) 9)
5 × 7.86 =
5 × 7.86 =
3 3 3
9 9 9
3
3
0
0
11.
5 × 7.86 =
3
0
22.18892
22.18892
22.18892
22.18892
22.18892
22.18892
8) 8) 8) 8) 8) 8)
. . .
.
2.84 × 7.813 =
2
2
1
8
8
9
2
10)
10)
11.
11.
11.
7.114
7.114
4.69 × 3.595 =
4.69 × 3.595 =
4.69 × 3.595 =
1 1 1
6 6 6
8
8
8
6
6
6
0
0
0
5
5
5
5
5
5
9) 9) 9) 9) 9) 9)
12.
73.689
73.689
73.689
73.689
73.689
73.689
. . .
.
8.7 × 8.47 =
7
3
6
8
9
11)
11)
2.84 × 7.813 =
2.84 × 7.813 =
2.84 × 7.813 =
2 2 2
2 2 2
1
1
1
8
8
8
8
8
8
9
9
9
2
2
2
10)
10)
10)
10)
10)
10)
12.
12.
12.
23.68142
23.68142
. . .
13.
7.114
7.114
7.114
7.114
7.114
7.114
.
2 × 3.557 =
7
1
1
4
12)
12)
8.7 × 8.47 =
8.7 × 8.47 =
8.7 × 8.47 =
7 7 7
3 3 3
6
6
6
8
8
8
9
9
9
11)
11)
11)
11)
11)
11)
. . .
13.
13.
13.
71.368
71.368
.
14.
23.68142
23.68142
23.68142
23.68142
23.68142
23.68142
8.54 × 2.773 =
2
3
6
8
1
4
2
13)
13)
2 × 3.557 =
2 × 3.557 =
7 7 7
1
1
1
1
4
4
2 × 3.557 =
1
1
4
12)
12)
12)
12)
12)
12)
. . .
.
14.
14.
14.
21.4594
21.4594
8.8 × 8.11 =
7
1
3
6
8
14)
14)
15.
71.368
71.368
71.368
71.368
71.368
71.368
8.54 × 2.773 =
8.54 × 2.773 =
8.54 × 2.773 =
2 2 2
3 3 3
6
6
6
8
8
8
1
1
1
4
4
4
2
2
2
13)
13)
13)
13)
13)
13)
. . .
.
8.2 × 2.617 =
2
1
4
5
9
4
15.
15.
15.
15)
15)
25.3854
25.3854
8.8 × 8.11 =
8.8 × 8.11 =
8.8 × 8.11 =
7 7 7
1 1 1
3
3
3
6
6
6
8
8
8
14)
14)
14)
14)
14)
14)
16.
21.4594
21.4594
21.4594
21.4594
21.4594
21.4594
. . .
.
3.134 × 8.1 =
2
5
3
8
5
4
16)
16)
8.2 × 2.617 =
8.2 × 2.617 =
8.2 × 2.617 =
2 2 2
1 1 1
4
4
4
5
5
5
9
9
9
4
4
4
15)
15)
15)
15)
15)
15)
16.
16.
16.
67.13616
67.13616
. . .
17.
25.3854
25.3854
25.3854
25.3854
25.3854
25.3854
.
8.268 × 8.12 =
6
7
1
3
6
1
6
17)
17)
3.134 × 8.1 =
3.134 × 8.1 =
3.134 × 8.1 =
2 2 2
5 5 5
3
3
3
8
8
8
5
5
5
4
4
4
16)
16)
16)
16)
16)
16)
. . .
17.
17.
17.
81.969
81.969
.
18.
67.13616
67.13616
67.13616
67.13616
67.13616
67.13616
9.21 × 8.9 =
8
1
9
6
9
18)
18)
8.268 × 8.12 =
8.268 × 8.12 =
8.268 × 8.12 =
6 6 6
7 7 7
1
1
1
3
3
3
6
6
6
1
1
1
6
6
6
17)
17)
17)
17)
17)
17)
. . .
18.
18.
18.
51.54
51.54
.
6 × 8.59 =
5
1
5
4
19.
19)
19)
81.969
81.969
81.969
81.969
81.969
81.969
9.21 × 8.9 =
9.21 × 8.9 =
9.21 × 8.9 =
8 8 8
1 1 1
9
9
9
6
6
6
9
9
9
18)
18)
18)
18)
18)
18)
. . .
.
19.
19.
19.
4.846 × 5.74 =
2
7
8
1
6
0
4
27.81604
27.81604
20)
20)
6 × 8.59 =
6 × 8.59 =
6 × 8.59 =
5 5 5
1 1 1
5
5
5
4
4
4
19)
19)
19)
19)
19)
19)
20.
51.54
51.54
51.54
51.54
51.54
51.54
. . .
1-10
95 90 85 80 75 70 65 60 55 50
9
Math
Math
4.846 × 5.74 =
4.846 × 5.74 =
4.846 × 5.74 =
2 2 2
7 7 7
8
8
8
1
1
1
6
6
6
0
0
0
4
4
4
20)
20)
20)
20)
20)
20)
20.
20.
20.
11-20
45 40 35 30 25 20 15 10
5
0
. . .
27.81604
27.81604
27.81604
27.81604
27.81604
27.81604
95 90 85 80 75 70 65 60 55 50
95 90 85 80 75 70 65 60 55 50
1-10
1-10
1-10
95 90 85 80 75 70 65 60 55 50
45 40 35 30 25 20 15 10
45 40 35 30 25 20 15 10
5 5 5
0 0 0
11-20
11-20
11-20
45 40 35 30 25 20 15 10
Math
Math
Math
Math
Math
Math
9 9 9
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