Decimal Multiplication
3.4 x 2.5
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8.5
34 × 25 = 850 → two decimal places → 8.50 = 8.5
8.4 ÷ 2
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4.2
84 tenths ÷ 2 = 42 tenths = 4.2
List all factors of 12.
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1, 2, 3, 4, 6, 12
Factors divide evenly into 12.
Write the first 5 multiples of 6.
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6, 12, 18, 24, 30
6×1, 6×2, 6×3, 6×4, 6×5
6.25 x 1.4
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8.75
625 × 14 = 8750 → three decimal places → 8.750 = 8.75
12.6 ÷ 0.3
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42
Move both decimals one place: 126 ÷ 3 = 42
List all factors of 24.
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1, 2, 3, 4, 6, 8, 12, 24
Factors divide evenly into 24.
Write the first 5 multiples of 8.
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8, 16, 24, 32, 40
8×1, 8×2, 8×3, 8×4, 8×5
12.6 x 3.25
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40.95
126 × 325 = 40,950 → three decimal places → 40.950
18.75 ÷ 2.5
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7.5
Move both decimals one place: 187.5 ÷ 25 = 7.5
Find the GCF of 18 and 30.
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6
18: 1,2,3,6,9,18 • 30: 1,2,3,5,6,10,15,30
Find the LCM of 6 and 8.
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24
Multiples of 6: 6,12,18,24 • Multiples of 8: 8,16,24
4.075 x 2.4
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9.78
4075 × 24 = 97,800 → four decimal places → 9.7800 = 9.78
42.84 ÷ 1.2
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35.7
Move both decimals one place: 428.4 ÷ 12 = 35.7
Find the GCF of 36 and 54.
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18
36 = 2²×3² and 54 = 2×3³ → common: 2×3² = 18
Find the LCM of 12 and 18.
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36
Multiples of 12: 12,24,36 • Multiples of 18: 18,36
A school buys 24 packages of prizes. Each package costs $6.75.
A. How much do all the packages cost?
Then, 24 students and 36 students from two classes need to be organized into the greatest possible number of equal groups.
B. How many groups can be formed?
C. How many students from each class will be in each group?
A. $162.00
B. 12 groups
C. 2 students from the first class and 3 students from the second class in each group
A notebook costs $3.75. What is the cost of 8 notebooks?
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$30.00
3.75 × 8 = 30.00
7.5 liters of juice are poured into 0.25 L bottles. How many bottles can be filled?
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30 Bottles
7.5 ÷ 0.25 = 750 ÷ 25 = 30
There are 24 girls and 32 boys. What is the greatest number of equal groups with the same number of girls and boys in each?
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8 Groups
GCF(24, 32) = 8
One bell rings every 8 minutes and another every 12 minutes. If they ring together now, when will they ring together again?
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24 Minutes
LCM(8, 12) = 24