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Dividing Decimals 5.NBT.B.7

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**0.84 ÷ 2 = 0.42 Dividing Decimals So, 0.84 ÷ 2 = 0.42.**

What decimal does this represent? How many hundredths are filled in? Eighty … … four This represents 84 hundredths. Now, let’s divide the decimal 0.84 by 2. Now, what decimal does each group show? The result is 2 groups of 0.42. So, 0.84 ÷ 2 = 0.42. So, 0.84 ÷ 2 = 0.42. The result is 2 groups of 0.42. Now, what decimal does each group show? … four What decimal does this represent? How many hundredths are filled in? Eighty … This represents 84 hundredths. Now, let’s divide the decimal 0.84 by 2.

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Dividing Decimals 0.75 ÷ 3 = 0.25 What decimal does this represent? How many hundredths are filled in? Seventy … … five This represents 75 hundredths. Now, let’s divide the decimal 0.75 by 3. Now, what decimal does each group show? The result is 3 groups of 0.25. So, 0.75 ÷ 3 = 0.25. Now, what decimal does each group show? So, 0.75 ÷ 3 = 0.25. What decimal does this represent? How many hundredths are filled in? This represents 75 hundredths. Seventy … … five Now, let’s divide the decimal 0.75 by 3. The result is 3 groups of 0.25.

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Dividing Decimals What decimal does this represent? How many hundredths are filled in? Fifty … … six This represents 56 hundredths. Now, let’s divide the decimal 0.56 by 4. Now, what decimal does each group show? The result is 4 groups of 0.14. So, 0.56 ÷ 4 = 0.14. 0.56 ÷ 4 = 0.14 Now, what decimal does each group show? What decimal does this represent? How many hundredths are filled in? So, 0.56 ÷ 4 = 0.14. This represents 56 hundredths. Fifty … … six Now, let’s divide the decimal 0.56 by 4. The result is 4 groups of 0.14.

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Dividing Decimals . 9 5 4 . 5 What is 45 divided by 5? 9 Here is 4.5 divided by 5. We divide the decimals the same way as whole numbers. But now there is a decimal point that we need to mark in the correct place. We mark the decimal point straight above in the same place. Let’s mark the decimal point right here. Since there is no number in the ones place, let’s mark a zero here. 4.5 divided by 5 is 0.9. Since there is no number in the ones place, let’s mark a zero here. 4.5 divided by 5 is 0.9. Let’s mark the decimal point right here. 9 What is 45 divided by 5? Here is 4.5 divided by 5. We divide the decimals the same way as whole numbers. But now there is a decimal point that we need to mark in the correct place. We mark the decimal point straight above in the same place.

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**. 4 8 3 . 2 Dividing Decimals 3.2 divided by 8 is 0.4.**

. 4 8 3 . 2 What is 32 divided by 8? 4 Here is 3.2 divided by 8. Let’s mark the decimal point directly above ... … and place it right here. Since there is no number in the ones place, let’s mark a zero here. 3.2 divided by 8 is 0.4. 3.2 divided by 8 is 0.4. Since there is no number in the ones place, let’s mark a zero here. What is 32 divided by 8? 4 Here is 3.2 divided by 8. Let’s mark the decimal point directly above ... … and place it right here.

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**5 . 7 3 1 7 . 1 Dividing Decimals 17.1 divided by 3 is 5.7.**

… 57 Here is 17.1 divided by 3. Let’s mark the decimal point directly above ... … and place it right here. 17.1 divided by 3 is 5.7. 17.1 divided by 3 is 5.7. … and place it right here. Here is 17.1 divided by 3. 171 divided by 3 is … … 57 Let’s mark the decimal point directly above ...

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Dividing Decimals . 2 3 3 . 6 9 69 divided by 3 is … … 23 Here is 0.69 divided by 3. Let’s mark the decimal point directly above ... … and place it right here. 0.69 divided by 3 is 0.23. Since there is no number in the ones place, let’s mark a zero here. Since there is no number in the ones place, let’s mark a zero here. 0.69 divided by 3 is 0.23. 69 divided by 3 is … … 23 Here is 0.69 divided by 3. Let’s mark the decimal point directly above ... … and place it right here.

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**. 4 . 9 . 3 6 Dividing Decimals What is 36 divided by 9?**

. 4 . 9 . 3 6 Here is 0.69 divided by 3. Before we mark the decimal point, let’s simply divide the numbers. What is 36 divided by 9? 4 Now, let’s manage the placement of the decimal point. First, let’s move the decimal point in the divisor one place to the right. Then, we must also move the decimal point in the dividend one place to the right to match. Let’s mark the decimal point directly above ... … and place it right here. Since there is no number in the ones place, let’s mark a zero here. 0.36 divided by 0.9 is 0.4. What is 36 divided by 9? First, let’s move the decimal point in the divisor one place the right. Then, we must also move the decimal point in the dividend one place to the right to match. Here is 0.36 ÷ 0.9. Notice that both the divisor and the dividend are decimals. 4 Now, let’s manage the placement of the decimal point. Before we mark the decimal point, let’s simply divide the numbers. Let’s mark the decimal point directly above ... … and place it right here. 0.36 divided by 0.9 is 0.4. Since there is no number in the ones place, let’s mark a zero here.

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**. 6 . 7 . 4 2 Dividing Decimals What is 42 divided by 7?**

. 6 . 7 . 4 2 Here is 0.42 ÷ 0.7. Notice that both the divisor and the dividend are decimals. Before we mark the decimal point, let’s simply divide the numbers. What is 42 divided by 7? 6 Now, let’s manage the placement of the decimal point. First, let’s move the decimal point in the divisor one place to the right. Then, we must also move the decimal point in the dividend one place to the right to match. Let’s mark the decimal point directly above ... … and place it right here. Since there is no number in the ones place, let’s mark a zero here. 0.42 divided by 0.7 is 0.6. What is 42 divided by 7? First, let’s move the decimal point in the divisor one place to the right. Then, we must also move the decimal point in the dividend one place to the right to match. Here is 0.42 ÷ 0.7. Notice that both the divisor and the dividend are decimals. 6 Now, let’s manage the placement of the decimal point. Before we mark the decimal point, let’s simply divide the numbers. Let’s mark the decimal point directly above ... … and place it right here. 0.42 divided by 0.7 is 0.6. Since there is no number in the ones place, let’s mark a zero here.

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**. 7 . 3 . 2 1 Dividing Decimals What is 21 divided by 3?**

. 7 . 3 . 2 1 Here is 0.21 ÷ 0.3. Notice that both the divisor and the dividend are decimals. Before we mark the decimal point, let’s simply divide the numbers. What is 21 divided by 3? 7 Now, let’s manage the placement of the decimal point. First, let’s move the decimal point in the divisor one place to the right. Then, we must also move the decimal point in the dividend one place to the right to match. Let’s mark the decimal point directly above ... … and place it right here. Since there is no number in the ones place, let’s mark a zero here. 0.21 divided by 0.3 is 0.7. What is 21 divided by 3? First, let’s move the decimal point in the divisor one place to the right. Then, we must also move the decimal point in the dividend one place to the right to match. Here is 0.21 ÷ 0.3. Notice that both the divisor and the dividend are decimals. 7 Now, let’s manage the placement of the decimal point. Before we mark the decimal point, let’s simply divide the numbers. Let’s mark the decimal point directly above ... … and place it right here. 0.21 divided by 0.3 is 0.7. Since there is no number in the ones place, let’s mark a zero here.

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**8 . . 3 . 2 4 Dividing Decimals What is 24 divided by 3?**

. 3 . 2 4 Here is 0.24 ÷ Notice that both the divisor and the dividend are decimals. Before we mark the decimal point, let’s simply divide the numbers. What is 24 divided by 3? 8 Now, let’s manage the placement of the decimal point. First, move the decimal point in the divisor two places to the right. Then, we must also move the decimal point in the dividend two places to the right to match. Let’s mark the decimal point directly above ... … and place it right here. 0.24 divided by 0.03 is 8. Since there are no digits in the decimal places, let’s erase the decimal point. The quotient is simply 8. What is 24 divided by 3? First, move the decimal point in the divisor two places to the right. Then, we must also move the decimal point in the dividend two places to the right to match. Here is 0.24 ÷ Notice that both the divisor and the dividend are decimals. 8 Now, let’s manage the placement of the decimal point. Before we mark the decimal point, let’s simply divide the numbers. Let’s mark the decimal point directly above ... … and place it right here. 0.24 divided by 0.03 is 8. Since there are no digits in the decimal places, let’s erase the decimal point. The quotient is simply 8.

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**9 . . 6 5 4 . Dividing Decimals 54 is the same as 54 and 0 tenths.**

. . 6 5 4 . Here is 54 ÷ 0.6. Before we mark the decimal point, let’s simply divide the numbers. What is 54 divided by 6? 9 Now, let’s manage the placement of the decimal point. If we move the decimal point in the divisor one place to the right … … we must also move the decimal point in the dividend one place to the right to match. Since there are no digits in the decimal places, let’s erase the decimal point. The quotient is simply 90. 54 is the same as 54 and 0 tenths. Now, let’s move the decimal point one place. Let’s mark the decimal point directly above ... … and place it right here. There are no ones in the quotient. So let’s mark a zero in the ones place. 54 divided by 0.6 is 90. Since there is no decimal point, let’s mark where it would be. 54 is the same as 54 and 0 tenths. … we must also move the decimal point in the dividend one place to the right to match. Now, let’s move the decimal point one place. Since there is no decimal point, let’s mark where it would be. If we move the decimal point in the divisor one place to the right … So let’s mark a zero in the ones place. There are no ones in the quotient. Let’s mark the decimal point directly above ... Now, let’s manage the placement of the decimal point. 9 Before we mark the decimal point, let’s simply divide the numbers. … and place it right here. 54 divided by 0.6 is 90. Here is 54 ÷ 0.6. Since there are no digits in the decimal places, let’s erase the decimal point. The quotient is simply 90. What is 54 divided by 6?

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Dividing Decimals 2 . . 7 1 . 4 Here is 1.4 ÷ 0.07. Before we mark the decimal point, let’s simply divide the numbers. What is 14 divided by 7? 2 Now, let’s manage the placement of the decimal point. If we move the decimal point in the divisor two places to the right … … we must also move the decimal point in the dividend two places to the right to match. Let’s mark the decimal point directly above ... … and place it right here. There are no ones in the quotient. So let’s mark a zero in the ones place. 1.4 divided by 0.07 is 20. Since there are no digits in the decimal places, let’s erase the decimal point. The quotient is simply 20. If we move the decimal point in the divisor two places to the right … … we must also move the decimal point in the dividend two places to the right to match. So let’s mark a zero in the ones place. What is 14 divided by 7? There are no ones in the quotient. 2 Now, let’s manage the placement of the decimal point. Before we mark the decimal point, let’s simply divide the numbers. Let’s mark the decimal point directly above ... … and place it right here. Since there are no digits in the decimal places, let’s erase the decimal point. The quotient is simply 20. 1.4 divided by 0.07 is 20. Here is 1.4 ÷ 0.07.

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Dividing Decimals Closing Question

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**. 9 . 2 . 1 8 Dividing Decimals What is 18 divided by 2?**

. 9 . 2 . 1 8 Here is 0.18 ÷ 0.2. Notice that both the divisor and the dividend are decimals. Before we mark the decimal point, let’s simply divide the numbers. What is 18 divided by 2? 9 Now, let’s manage the placement of the decimal point. If we move the decimal point in the divisor one place to the right … … we must also move the decimal point in the dividend one place to the right to match. Let’s mark the decimal point directly above ... … and place it right here. Since there is no number in the ones place, let’s mark a zero here. 0.18 divided by 0.2 is 0.9. What is 18 divided by 2? If we move the decimal point in the divisor one place to the right … … we must also move the decimal point in the dividend one place to the right to match. Here is 0.18 ÷ 0.2. Notice that both the divisor and the dividend are decimals. 9 Now, let’s manage the placement of the decimal point. Before we mark the decimal point, let’s simply divide the numbers. Let’s mark the decimal point directly above ... … and place it right here. 0.18 divided by 0.2 is 0.9. Since there is no number in the ones place, let’s mark a zero here.

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Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

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