Video Transcript
Use the following part-whole model
to find 12 times six.
How well do you know your six times
table? Perhaps you know it all the way up
to 10 times six. But do you know how to multiply it
by other two-digit numbers? Well, in this question, we need to
find the answer to 12 times six. And we’re given a part-whole model
that we’re told to use to help us. Well, we can’t see the number six
in this part-whole model, but we can see the number 12. Do you think this has got something
to do with the number 12 in our multiplication? Well, it does. What it’s showing us is that
instead of thinking of the number 12 as one number, we can partition it or split it
up because 12 is the same as one ten or 10 and two ones, which have a value of
two.
By including this part-whole model,
we’re being given a really big hint. We can make the multiplication
easier if we think of the tens and the ones separately. Instead of finding the answer to 12
times six, we can multiply the tens by six, then the ones times six, and then use
these two answers to help. We know that 10 times six equals
60, and then two lots of six equals 12. Now that we’ve multiplied both
parts of our number by six, we need to use these answers to help us find the overall
total. We’re gonna have to add our two
parts back together again. First, the ones, zero ones plus two
ones equals two ones. And then the tens, six tens plus
one more 10 equals seven tens. We partition the number 12 into its
tens and ones to help us find the answer to 12 times six. 12 multiplied by six equals 72.