1. Today we will review “Multiplying & Dividing Decimals”
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2. Let’s Warm up:.
1) = 0.7
2) 3.5 – 1.2 =2.3
3) – 0.1 =0.8
4) 6.5 – =4.9
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3. Multiplying 2 Decimal places by Whole Numbers
When multiplying a decimal by a whole number, multiply as with whole numbers
Then count the number of decimal places in the factors
Starting at the right, put that many places in the answer
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4. Multiplying 2 Decimal places by Whole Numbers
Example: Find 4.04 x 3
Method:
Count decimal places
4.04
x 3
12.12
There are two places to the right of the decimal point.
Count the same number of places from right to left.
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5. Multiplying 2 Decimal places by Whole Numbers
Your turn! Find 2.34 x 8
18.72
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6. Multiplying 2 Decimal places by Whole Numbers
Your turn! Find 9.76 x 5
48.80
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7. Dividing 2 Decimal places by Whole Numbers
Dividing a decimal by a whole number is similar to dividing whole numbers
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8. Dividing 2 Decimal places by Whole Numbers
Divide a decimal by a 1-Digit Number
Find 6.08 ÷ 2.
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9. Dividing 2 Decimal places by Whole Numbers
Your turn! Find 3.48 ÷ 4
0.87
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10. Dividing 2 Decimal places by Whole Numbers
Your turn! Find 6.78 ÷ 3
2.26
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11. Dividing with Decimal Remainders
Usually, when you divide, the answer does not come out evenly and you have a remainder
You need to put a decimal and annex zero
Then continue dividing till you get zero remainder
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12. Dividing with Decimal Remainders
Example: Divide 22 by 4
Place the decimal point
Annex zero
Divide as with whole numbers
Divide until you get zero remainder
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13. Dividing with Decimal Remainders
Your Turn!
Divide 33 by 5
6.6
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14. Dividing with Decimal Remainders
Your Turn!
Divide 65 by 8
8.125
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15. Converting Decimals to Fractions
Use models
This model shows 1
This model shows 1 divided into 100 equal parts. The shaded portion shows 1/100. It can be written as 0.01
This model shows 1 divided into 10 equal parts. The shaded portion shows 1/10. It can be written as 0.1
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16. Converting Decimals to Fractions
Example:
This model shows 1 divided into 100 equal parts. The shaded portion shows 70/100.
It can be written as 0.70
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17. Converting Decimals to Fractions
Your Turn!
Write a fraction for this decimal: 0.67; Use model
This model shows 1 divided into 100 equal parts. The shaded portion shows 67/100.
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18. Converting Decimals to Fractions
Your Turn!
Write a fraction for this decimal: 0.45; Use model
This model shows 1 divided into 100 equal parts. The shaded portion shows 45/100.
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19. Converting Fractions to Decimals
Use models to convert fractions to decimals
Alternatively;
Step 1: Write the decimal as a fraction of 100
Step 2: Write the fraction in the simplest form
Example: Write ¾ as a decimal
Equivalent fraction is 3 x 25 = 75
4 x
0.75
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20. Converting Fractions to Decimals
Your Turn!
Write 3/5 as a decimal.
0.6
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21. Converting Fractions to Decimals
Your Turn!
Write 1/4 as a decimal.
0.25
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22. Let us take a break!
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23. Let us see how fast you are on this one!
Jig-Saw puzzle
Let us see how fast you are on this one!
Click me
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24. Assessment
5.01 x 9 = 45.09
6.64 x 7 = 46.48
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25. Assessment
5.24 ÷ 2 = 2.62
7.92 ÷ 3 = 2.64
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26. Assessment
6 ÷ 4 = 1.5
7 ÷ 2 = 3.5
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27. Assessment Write 0.78 as a fraction. = 39/50
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28. Assessment Write 2/5 as a decimal. =0.4
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29. Good Job!
You have learned a lot today!!!
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