Depth 1 · 34 s
Jumps of six
Eggs come in boxes of 6, so you can buy 18 or 24 but never exactly 20. The multiples of 6 are where jumps of 6 land.
About this video
A market stall sells eggs only in boxes of six. You can buy one box, two or three, but you can't open a box, so can you buy exactly 20 eggs? This short animation counts the eggs box by box as jumps along a number line: 6, 12, 18, 24, 30. The numbers you land on are called the multiples of 6. A multiple of 6 is 6 times some number: 6 × 3 = 18, 6 × 4 = 24.
The number 20 is jumped over. After 18 the next landing is 24, so no number of boxes gives 20 eggs. You don't have to count all the way up to check: divide instead. 20 ÷ 6 is 3 with 2 left over, so 20 is not a multiple of 6, while 24 ÷ 6 is 4 with nothing left over, so 24 is. The video ends with two more facts about multiples. They never end, because there is always one more jump, and 0 is a multiple of every number, because zero boxes hold zero eggs. This video goes with the Multiples: Counting in Jumps lesson of Number Theory Level 1 on Knaph.
This video shows depth 1 of Multiples.
Learn MultiplesTranscript
- 0:00Eggs come in boxes of six. Can you buy twenty?
- 0:04Count in jumps of six. Six, twelve, eighteen, twenty-four, thirty.
- 0:12Twenty is jumped over. It's not a multiple of six.
- 0:18Check by dividing. Twenty leaves two over. Twenty-four leaves none.
- 0:24The jumps never end, and zero is a multiple too.
- 0:29Multiples are where the jumps land.