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Decimal Numbers (Difficult)
A certain object weighs 82,340.5 grams. What is this in kilograms?

Decimal Numbers (Difficult)

Deepen your understanding of decimals with this 11 Plus Maths quiz. Learn how tiny numbers can measure time, distance, and even the human body’s inner workings.

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Fascinating Fact:

A single red blood cell travels around your body in roughly 20 seconds. Decimals help doctors measure these tiny journeys inside us.

In 11 Plus Maths, decimals allow us to record and compare very small or precise values. From heartbeats to measuring medicine doses, decimals make complex data easier to understand.

  • Decimal Point: The dot separating whole numbers from fractions, as in 3.14.
  • Place Value: The value of each digit in a number, depending on where it appears.
  • Precision: How exact a measurement or calculation is, often shown using decimals.
Why are decimals important in real life?

Decimals help in measuring accurately. They are used in money, science, medicine, and everyday tasks like reading a clock or weighing food.

What is the smallest place value in decimals?

Each digit after the decimal point is ten times smaller than the one before it. The first is tenths, then hundredths, thousandths, and so on.

How do doctors use decimals?

Doctors use decimals to measure doses, time heartbeats, and track small changes in body functions, ensuring accurate results for patients.

1 .
What is 50.60 metres in centimetres?
5,600 cm
50,060 cm
5,060 cm
506 cm
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?
70,004 g
74,000g
704,000 g
7,400 g
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?
12.34 m
123.4 m
0.1234 m
1.234 m
There are 100 cm in 1 m, so in 123.4 cm there are 123.4 ÷ 100 = 1.234 m
4 .
How many square centimetres are there in 5.5 square metres?
55,000 sq cm
5,050 sq cm
5,500 sq cm
550,000 sq cm
There are 100 cm in 1 m, so in 1 sq m there are 100 × 100 = 10,000 sq cm. 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?
1.31276 kg
1,312.76 kg
131.276 kg
13.1276 kg
There are 1,000 g in 1 kg, so in 1,312.76 g there are 1,312.76 ÷ 1,000 = 1.31276 kg
6 .
What was 123.345 divided by if the answer is 0.123345?
10
100
1,000
10,000
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 digits to the right by the same number of zeros as in the number: 123.345 ÷ 1,000 = 0.123345: the digits have moved three places to the right = the number of zeros in one thousand
7 .
What was 123.345 multiplied by if the answer is 12,334.5?
1,000
100
10
10,000
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 digits to the left by the same number of zeros as in the number: 100 × 123.345 = 12,334.5: the digits have moved two places to the left = the number of zeros in one hundred
8 .
What does 0.00001 have to be multiplied by to give 1?
100
10,000
100,000
1,000
For 0.00001 to become 1, the digits will have to move 5 places to the left. 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?
22,706.50 m
227,650 m
2,276.50 m
22,765 m
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?
8,234.05 kg
8.23405 kg
823.405 kg
82.3405 kg
There are 1,000 g in 1 kg, so in 82,340.5 g there are 82,340.5 ÷ 1,000 = 82.3405 kg
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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