Video: KS2-M19 • Paper 1 • Question 20

0.9 ÷ 100 = _.


Video Transcript

0.9 divided by 100 equals what.

0.9 is not a multiple of 100. In fact, it’s a decimal number. It’s even less than one. How can we divide a number that’s not a multiple of 100 and is actually less than one by 100? Well, the way to find the answer is to understand what happens to any number at all when it’s divided by 100. There’s a pattern to how the digits behave. And if we understand that, we can work out the answer.

When a number is divided by 100, any number at all, the digits in that number become 100 times smaller because they’ve been divided by 100. For example, whatever digits in the ones place will now be worth hundredths. And so it shifts two places to the right. In fact, all the digits will shift two places to the right.

An interesting way to remember how many places to shift the digits when multiplying or dividing by 10, 100, 1000, and so on is to look at the number of zeros in the number that we’re multiplying or dividing by. Here, we’re dividing by 100. And there are two zeros in 100. So the digits must shift two places.

So let’s see how this affects our number, 0.9. 0.9 has zero ones and nine-tenths. As we’ve said already, because we’re dividing by 100, the digits are going to shift two places to the right. And so the digit in the ones place now appears in the hundredths place. And nine-tenths now become worth nine thousandths.

But we’ve got no more digits to shift. How can we show that that nine is in the thousandths column? Well, to do this, we need to make sure that we included decimal point and then show any gaps using zero as a placeholder. And so when we divide 0.9 by 100, nine-tenths become worth nine thousandths, which is a lot less.

0.9 divided by 100 equals 0.009.

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