Times Tables with Groups
3 + 3 + 3 = 9Transcript
Today we learn times tables, which is just a clever way to count groups of things quickly! Look, here are three mangoes. Let's count them together, one, two, three. Now let's make three groups of mangoes, with three mangoes in every group.
Counting one by one is slow. Adding the same number again and again is faster. Three plus three plus three makes nine. That is three groups of three.
- same number, again and again
3 + 3 + 3 = 9We have a short way to write it. Three groups of three is written three times three.
3 \times 3 = 9The cross sign means times, and it means groups of. So times just means groups of. Let's try a new picture. Here are two groups of four stars, with four stars in every group. Four plus four makes eight. So two times four is eight.
- times means groups of
2 \times 4 = 4 + 4 = 8Now let's build the table of two, with groups of two bananas. Count by twos: two, four, six, eight, ten. So five times two is ten.
5 \times 2 = 10See the pattern? Each new group of two adds two more. The answers go up by two each time.
2,\ 4,\ 6,\ 8,\ 10Here is a worked example. Four baskets, with three apples in each basket. How many apples? Step one, write it as times. Four groups of three is four times three.
4 \times 3Step two, add the groups. Three plus three plus three plus three.
4 \times 3 = 3+3+3+3Step three, add them up. Three and three is six, nine, then twelve.
4 \times 3 = 12So there are twelve apples. Notice that three times four also gives twelve. The order does not matter!
3 \times 4 = 4 \times 3 = 12A common mistake is adding instead of grouping. Three plus four is seven, but three times four is twelve.
3 + 4 = 7 \quad \text{but} \quad 3 \times 4 = 12In real life, think of eggs. Cartons hold six eggs each, so groups help us count fast. Two cartons with six eggs each makes twelve eggs, because two times six is twelve.
2 \times 6 = 12Now your turn! There are five plates, with two cookies on each plate. How many cookies? Great job! Times means groups of, and we add the same number again and again to find the total.
- times = groups of
3 \times 4 = 12Quick quiz
Q1. 5 plates with 2 cookies on each plate. How many cookies in all?
Five groups of two is 2+2+2+2+2, which is 10.
