A toy shop orders 11 boxes of marbles. Each box contains six bags of marbles. Each bag contains 45 marbles. How many marbles does the shop order in total?
The question is asking us to find the total number of marbles in the shop’s order of 11 boxes of marbles. We know that each box contains six bags of marbles and each bag contains 45 marbles. To find the number of marbles in 11 boxes, first we need to calculate how many marbles there are in one box.
We know there are 45 marbles in each bag and there are six bags in each box. So to calculate the number of marbles in a box, we can calculate 45 times six. A quicker way to do this would be to calculate 90 times three. Nine times three is 27, so 90 times three is 270. So now we know there are 270 marbles in each box.
To find the amount of marbles in 11 boxes, we need to multiply 270 by 11. We could partition 11 into 10 and one. Then we could multiply 270 by 10 and 270 by one and then add these totals together. 270 multiplied by 10 is 2700, and 270 multiplied by one is 270. 2700 plus 270 is 2970. The shop ordered 2970 marbles in total.
To find our answer, first we calculated how many marbles there are in one box by calculating 45 times six or 90 times three. That told us there are 270 marbles in each box. The toy shop ordered 11 boxes. So we calculated the amount of marbles in 11 boxes by multiplying 270 by 11, to give us the answer 2970.