Unit 3 Multiplicative Comparisons

Front

What is a multiplicative comparison?

Back

A multiplicative comparison is a relationship between two quantities where one quantity is a multiple of the other, often expressed in terms of 'times as many'.

Front

If Benjamin has 5 connecting cubes, how many cubes would be 3 times as many?

Back

15 connecting cubes.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is found by adding the lengths of all four sides, or using the formula P = 2(length + width).

Front

If a swimming pool is 4 times as long as it is wide and has a perimeter of 40 meters, how do you set up the equations to find the length and width?

Back

Let width = w, then length = 4w. The perimeter equation is 2(w + 4w) = 40.

Front

What is the formula for the perimeter of a rectangle?

Back

P = 2(length + width).

Front

If Sam has 6 apples and Lily has 3 times as many, how many apples does Lily have?

Back

Lily has 18 apples.

Front

What is the relationship between multiplication and division in the context of multiplicative comparisons?

Back

Multiplication can be used to find how many times one quantity is compared to another, while division can be used to find the original quantity when given the multiple.

Front

How can you break down the multiplication of 4 × 50 using a numerical strategy?

Back

4 × 50 can be broken down as 4 × 5 × 10 = 20 × 10 = 200.

Front

If Bruce cycled 3 times as many miles as Fae and Bruce cycled 12 miles, how do you find how many miles Fae cycled?

Back

Fae cycled 12 miles ÷ 3 = 4 miles.

Front

What is the concept of 'times as many' in multiplication?

Back

'Times as many' indicates how many times one quantity is compared to another, often used in word problems to express multiplicative relationships.