Have a good look. What does 47 × 10 really equal, and what has gone wrong in this answer?

Watch the place-value chart as we multiply by ten, a hundred and a thousand. Every time, the digits slide left and the point stays put. Watch where each digit lands and what fills the empty columns behind it.

Today we work through these together on the place-value chart, in this order: 6 × 10, then 6 × 100, then 3.5 × 10, then 3.5 × 100, and finally 3.5 × 1000. The chart starts on 3.5, so for the first two examples we type 6 into the starter, then set it back to 3.5 for the last three.

In today's challenge, you'll turn a starting number into a target number, using only the buttons that are lit up. Some look easy at first, but the lit buttons make you plan a route — sometimes ×100 or ×1000 is switched off, so you have to press two buttons in a row to get there.

We work up through: 4 to 400, then 4 to 4000, then 0.6 to 600 with ×1000 switched off, and finally the tricky one — 7 to 7000, also with ×1000 switched off, so you must find another way.