Open the Interactive illustration describing the numbers found in the multiplicationmultiplicationmultiplication and become familiar with it.

Do the calculations. Then write down what multiplicationmultiplicationmultiplication property you have used.

a) $45·0$,

b) $0·125$,

c) $56·0$,

d) $0·475$.

Conclusion

If one of the factors is equal to zero, then the productproductproduct is equal to zero.

Do the calculations. Then write down what multiplicationmultiplicationmultiplication property you have used.

a) $45·1$,

b) $1·125$,

c) $56·1$,

d) $1·475$.

Conclusion

If one of the factors is equal to one, then the productproductproduct is equal to the other factorfactorfactor.

Do the calculations. Then write down what multiplicationmultiplicationmultiplication property you have used.

a) $5·8$,

b) $8·5$,

c) $9·10$,

d) $10·9$,

e) $6·7$,

f) $7·6$.

Conclusion

In multiplicationmultiplicationmultiplication we can change the order of factors - multiplicationmultiplicationmultiplication has a commutative property.

Do the calculations. Then write down what multiplicationmultiplicationmultiplication property you have used.

a) $5·(2·3)$,

b) $5·(2·3)$,

c) $3·(6·4)$,

d) $(3·6)·4$.

Conclusion

By multiplying several numbers, you can combine factors - the multiplicationmultiplicationmultiplication has an associative property.

A. Calculate the following using the properties of multiplicationmultiplicationmultiplication.

a) $2·0$,

b) $6·1$,

c) $0·8$,

d) $1·7$.

B. Not doing the calculations, combine equal products into pairs.

a) $8·618$,

b) $305·12$,

c) $618·8$,

d) $12·305$.

C. Not doing the calculations, combine equal products into pairs.

a) $254·(658·12)$,

b) $(369·25)·654$,

c) $369·(25·654)$,

d) $(254·658)·12$.

Calculate the following problems using the multiplication propertiesmultiplication propertiesmultiplication properties. Use any method of your choice to facilitate your calculations.

a) $2·6·5$,

b) $5·12·2$,

c) $3·4·5$,

d) $6·10·3$.

Task for volunteers

There are eight carriages on the train and $10$ compartments in each of them. How many seats are there on this train if there are $6$ seats in each compartment?

Do the calculations and write them down „step by step”.

a) $5·(2·4)·6$,

b) $(5·2)·(4·6)$,

c) $(5·2)·(4·6)$.

Calculate the following operations using any method of your choice.

Write in English what multiplication properties you have used.

a) $7·2·3·5$,

b) $4·8·5·6$.