Question Video: Using Groups to Interpret Products of Whole Numbers | Nagwa Question Video: Using Groups to Interpret Products of Whole Numbers | Nagwa

Question Video: Using Groups to Interpret Products of Whole Numbers Mathematics • Third Year of Primary School

Which of these can we read as “2 groups of 8 objects”? [A] 2 + 8 [B] 2 ÷ 8 [C] 8 − 2 [D] 2 × 8

02:06

Video Transcript

Which of these can we read as two groups of eight objects? Two plus eight, two divided by eight, eight take away two, or two multiplied by eight.

We’re given four different possible answers here. What’s the same about them and what’s different? What can you see? They all contain the numbers two and eight. This is interesting because our question mentions the numbers two and eight too. But we can see each of our answers has a different symbol. There’s an addition symbol, a division symbol, a subtraction symbol, and a multiplication symbol.

To answer the question, we need to think then about what these symbols mean because one of our possible answers is a way of representing two groups of eight objects. We might expect two groups of eight to look something like this. There are two groups, and each of them has got eight dots. Now, which of our symbols could we use to represent groups of something? We know if we add two numbers together, we combine them. So two plus eight would mean the total of two and another eight.

When we subtract one number from another, the first number gets smaller. This isn’t a way of showing groups of a number either. And we know we use the division symbol when we want to share a number or split it up or divide it. But we know we can use the multiplication symbol to represent several lots of a number or several groups of the same number. So when we see two multiplied by eight written out, we know this means two lots of eight or, as it says in the question, two groups of eight objects. We can represent two groups of eight objects by writing two multiplied by eight.

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