A certain object weighs 82,340.5 grams. What is this in kilograms?

# Decimal Numbers (Difficult)

Decimal numbers are those that are less than a whole number. In this last of our series of 11-plus Maths quizzes on decimal numbers you will get some practice in using decimals in real life situations. By the way, in real life you would not be required to give answers with as many decimal places as shown in these questions.

This quiz is a little tougher than the others, so be sure to read the questions carefully. Look at all the answers before choosing one. You may find it handy to have a pencil and paper next to you to jot down any calculations.

The more you can do these kind of calculations quickly in your head, the better prepared you'll be in everyday life. Having a solid grasp of numbers, measures and conversions will mean you're one step ahead of the rest when it comes to working out mathematical calculations.

Make sure that you do the first two quizzes BEFORE you play this quiz. Good luck!

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1. What is 50.60 metres in centimetres?
There are 100 cm in 1 m, so in 50.60 m there are 100 × 50.60 = 5,060 cm
2. How many grams are there in 7.4 kilograms?
There are 1,000 g in 1 kg, so in 7.4 kg there are 1000 × 7.4 = 7,400 g
3. What is 123.4 centimetres in metres?
There are 100 cm in 1 m, so in 123.4 m there are 123.4 ÷ 100 = 1.234 m
4. How many square centimetres are there in 5.5 square metres?
There are 100 cm in 1 m, so in 1 sq m there are 100 × 100 = 10,000 sq m. In 5.5 sq m there are 5.5 × 10,000 = 55,000 sq cm
5. How many kilograms are there in 1,312.76 grams?
There are 1,000 g in 1 kg, so in 1,312.76 kg there are 1,312.76 ÷ 1,000 = 1.31276 kg
6. What was 123.345 divided by if the answer is 0.123345?
The rule for dividing by a whole number beginning with 1 and followed by one or more zeros, e.g. dividing by 10, 100, 1,000, ... is as follows: When dividing by such a number, move the decimal point to the left by the same number of zeros as in the number: 123.345 ÷ 1,000 = 0.123345: the decimal point has moved three places to the left = the number of zeros in one thousand
7. What was 123.345 multiplied by if the answer is 12,334.5?
The rule for multiplying by a whole number beginning with 1 and followed by one or more zeros, e.g. multiplying by 10, 100, 1,000, ... is as follows: When multiplying by such a number, move the decimal point to the right by the same number of zeros as in the number: 100 × 123.345 = 12,334.5: the decimal point has moved two places to the right = the number of zeros in one hundred
8. What does 0.00001 have to be multiplied by to give 1?
For 0.00001 to become 1, the decimal point will have to move 5 place to the right. By the rule in question 7, you will have to multiply 0.00001 by 100,000 - which has 5 zeros
9. If you travel along the A1, the distance from London to Lincoln is 227.65 kilometres. What is this distance in metres?
There are 1000 m in 1 km, so in 227.65 km there are 227.65 × 1,000 = 227,650 m
10. A certain object weighs 82,340.5 grams. What is this in kilograms?
There are 1,000 g in 1 kg, so in 82,340.5 g there are 82,340.5 ÷ 1,000 = 82.3405 kg

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