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A tree stands 5.47 metres tall. How tall would a giraffe need to be to see over the tree?

Level 3-4 Numbers - Decimals - Ordering

Order decimals with confidence. Use place value to compare digits and arrange numbers in ascending or descending order for accurate measurements, money, and data.

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Fascinating Fact:

In design and construction, ordering decimals ensures measurements are accurate, such as cutting materials to 2.45 metres instead of 2.54 metres.

In KS3 Maths, ordering decimals relies on place value. Compare the whole number part first, then tenths, hundredths, and thousandths. Add trailing zeros if needed so digits line up cleanly before arranging values.

Key Terms

Place value: The value a digit has because of its position, such as tenths or hundredths.
Ascending order: Arranging numbers from smallest to largest.
Descending order: Arranging numbers from largest to smallest.

Frequently Asked Questions (Click to see answers)

How do I compare two decimals quickly?

Line up the decimal points and compare digits from left to right. If lengths differ, add zeros to the shorter number so they have the same number of decimal places.

What if two decimals look the same at first?

Compare each place value in turn. If all places match, the decimals are equal. For example, 2.700 and 2.7 represent the same value.

How do I order negative decimals?

Remember that more negative means smaller. For example, −3.2 is less than −3.1. Order the absolute values, then reverse the result for negatives.

Try These Related Quizzes

1 .

Which of the following numbers is the second largest?

3.4

3.14

3.41

3.1

The order from smallest to largest is 3.1, 3.14, 3.4 and 3.41

2 .

Which of these is ordered from largest to smallest?

3.45, 3.5, 3.15, 3.55

3.5, 3.55, 3.45, 3.15

3.15, 3.45, 3.5, 3.55

3.55, 3.5, 3.45, 3.15

Look for the highest number in the tenths column

3 .

My television cable is 4.3m, my mobile phone charger is 3.2m, my PlayStation lead is 4.13m and my hi-fi lead is 2.78m. Which is the longest?

Television cable

Mobile phone charger

PlayStation lead

Hi-fi lead

4.3 is the largest number on the list

4 .

What comes next: 1.2, 1.25, 1.3, 1.35?

1.04

1.39

1.4

1.45

The sequence is increasing by 0.05 each time

5 .

Colin gets £2.40 pocket money, Michelle gets £2.15, Geoff gets £2.75 and Sarah gets £2.55. Who gets the most?

Colin

Michelle

Geoff

Sarah

One penny is a hundredth of a pound so would be written as £0.01

6 .

A tree stands 5.47 metres tall. How tall would a giraffe need to be to see over the tree?

5.04 metres

5.047 metres

5.74 metres

5.417 metres

Any number above 5.47 could be right so the only possible answer given is 5.74

7 .

Which of these is the smallest number?

2.5

2.15

2.17

2.8

It helps to give the numbers the same number of decimal places by adding zeros, e.g. 2.50 and 2.80

8 .

Which of these is the smallest number?

47.8

48.7

40.7

4.078

First compare the whole numbers!

9 .

A rollercoaster at the amusement park has a sign that says you must be over 1.1 metres to ride it. Which of these heights is unable to ride?

1.12 metres

1.07 metres

1.2 metres

1.31 metres

1.07 is less than 1.10

10 .

Which of these is the largest number?

96.7

9.67

97.6

9.76

Look at the numbers before the decimal point first

You can find more about this topic by visiting BBC Bitesize - Place value and ordering decimals

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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