Video: Calculate Long Division With Decimals

A group of cats weigh 45.5 kilograms. Assuming that each cat weighs 4.55 kilograms on average, determine the number of cats in the group.

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Video Transcript

A group of cats weigh 45.5 kilograms. Assuming that each cat weighs 4.55 kilograms on average, determine the number of cats in the group.

We know that a group of cats weigh 45.5 kilograms. And we also know that each cat on average weighs 4.55 kilograms. We have to work out how many cats there are. So, we need to calculate how many 4.55 there are in 45.5. In other words, we have to calculate 45.5 divided by 4.55. The digits in these numbers are exactly the same. Both numbers start with a four, then a five, then a five digit. But the value of each of these digits has a different place value.

The four digit in 45.5 is worth four tens. And the five digit is worth five ones. We need to put the decimal point in the correct place. And the second five digit in 45.5 is worth five-tenths. The four digit in 4.55 is worth four ones. The first five digit is worth five-tenths. And the second five digit is worth five hundredths. 4.55 is 10 times smaller than 45.5. We know that 40 divided by 10 equals four. And five divided by 10 equals 0.5. And five-tenths divided by 10 becomes five hundredths.

So, 45.5 divided by 4.55 equals 10. If a group of cats weighs 45.5 kilograms and we assume that each cat weighs 4.55 kilograms, there are 10 cats in the group. 45.5 divided by 4.55 equals 10.

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