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Year 7

Dividing with decimals

I can generalise and fluently use written division strategies to calculate accurately with decimals.

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New
New
Year 7

Dividing with decimals

I can generalise and fluently use written division strategies to calculate accurately with decimals.

Download all resources
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Share activities with pupils
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Lesson details

Key learning points

  1. Divisions can be written as fractions.
  2. Equivalent fractions mean an equivalent calculation can be found.
  3. This equivalent calculation can be significantly easier to calculate.

Keywords

  • Dividend - Dividend is the number we are dividing.

  • Divisor - The divisor is the number by which the dividend is divided.

  • Quotient - The quotient is the integer result of division.

Common misconception

Students try to divide an integer with an integer without simplifying.

Student are required to convert the divisor into an integer. Simplifying the denominator into a single integer digit is preferable.

Without calculating the answer, pose questions to students or the class to verbalise the integer division with powers of 10 e.g 3.6/5.6 = 36/56
Teacher tip

Equipment

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
What word describes the 6 in this calculation?
An image in a quiz
Correct answer: Divisor
Multiplicand
Remainder
Dividend
Quotient
Q2.
Select all the different ways $$ 12\div4 $$ can be written.
Correct answer: 12 shared by 4
12 groups of 4
Correct answer: $${12} \over {4}$$
$$12\times4$$
Correct answer: 12 grouped into 4s
Q3.
Match each division to its correct answer.
Correct Answer:$$ 30\div10 $$ ,3

3

Correct Answer:$$ 14\div2 $$ ,7

7

Correct Answer:$$ 32\div8 $$ ,4

4

Correct Answer:$$ 10\div4 $$ ,2.5

2.5

Q4.
Select all the fractions that are equivalent to $${4} \over {5}$$.
Correct answer: $${8} \over {10}$$
Correct answer: $${40} \over {50}$$
Correct answer: $${20} \over {25}$$
$${6} \over {8}$$
Q5.
Without using a calculator, work out: $$ 8564\div4 $$ =
Correct Answer: 2141
Q6.
Without using a calculator, work out: $$ 5950\div7 $$ =
Correct Answer: 850

Exit quiz

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6 Questions

Q1.
What word describes the 30 in this calculation?
An image in a quiz
Divisor
Correct answer: Dividend
Remainder
Multiplier
Quotient
Q2.
When dividing decimals, it is easier to write the calculation as a fraction and then find an equivalent fraction with an __________ denominator.
absolute
equivalent
incomplete
Correct answer: integer
Q3.
Select all the equivalent fractions to the calculation $$ 3.36\div1.2 = 2.8$$.
Correct answer: $${3.36} \over {1.2}$$
Correct answer: $${33.6} \over {12}$$
$${3.36} \over {12}$$
$${336} \over {12}$$
Correct answer: $${336} \over {120}$$
Q4.
Without using a calculator, work out: $$ 14\div3.5 $$ =
Correct Answer: 4, 4.0
Q5.
Without using a calculator, work out: $$ 93.6\div0.4 $$ =
Correct Answer: 234, 234.0
Q6.
Without using a calculator, work out: $$ 48.4\div3.2 $$ =
Correct Answer: 15.125