Multiplication and Division

NZ Level 3

Divide a 3 digit number by a 1 digit number using area or array model

Let's use an area model to find the answer to $133\div7$133÷7.

a

We set up the area model using a rectangle like this.

$7$7 | |

Total area: $133$133 |

Now if we don't know straight away what $133\div7$133÷7 is, we start with something we do know, like groups of $10$10.

Fill in the area used so far if we take out $10$10 groups of $7$7.

$10$10 | ||

$7$7 | $\editable{}$ | |

Total area: $133$133 |

b

How much area is remaining?

$10$10 | ||

$7$7 | $70$70 | $\editable{}$ |

Total area: $133$133 |

c

What is the width of the second rectangle?

$10$10 | $\editable{}$ | |

$7$7 | $70$70 | $63$63 |

Total area: $133$133 |

d

Using the area model above, what is $133\div7$133÷7?

Easy

Approx 2 minutes

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Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality