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Place Value (Difficult)
What is the place value of 9 in 90,774.0267? Find out in this quiz.

Place Value (Difficult)

This 11 Plus Maths quiz explores advanced place value ideas, including how numbers can be represented in different base systems such as binary and hexadecimal.

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(quiz starts below)

Fascinating Fact:

In hexadecimal, a base sixteen system used in computing, letters like A, B, C, D, E, and F represent numbers ten to fifteen, an alphabet built on place value.

In 11 Plus Maths, pupils discover how numbers can be written using different base systems. Understanding place value beyond base ten helps students grasp how computers use binary and hexadecimal to process information.

Key Terms

  • Base System: The number of digits a counting system uses before moving to the next place value.
  • Binary: A base two system that uses only the digits zero and one, commonly used in computing.
  • Hexadecimal: A base sixteen system that uses digits zero to nine and letters A to F to represent values.

Parents can find more information on how topics like place value are taught in our 11 Plus subject guide for parents.

Frequently Asked Questions (Click to see answers)

What is a base system in maths?

A base system is a way of counting where each place value represents a power of the base number. For example, base ten uses ones, tens, hundreds, and so on.

Why do computers use binary instead of base ten?

Computers use binary because they operate with electrical signals that can only be on or off, which perfectly fits the two digits used in binary, zero and one.

What are hexadecimal numbers used for?

Hexadecimal numbers are used in computing to shorten long binary codes, making them easier for humans to read and write.

Try These Related Quizzes

1 .
What is the place value of 4 in 1,754?
The tens' place
The ones' place
The hundreds' place
The thousands' place
Reading the number from right to left: 4 is in the ones' place
2 .
What is the place value of 6 in 3,754.06?
The tens' place
The hundreds' place
The hundredths' place
The tenths' place
Reading from left to right immediately after the decimal point: 6 is in the hundredths' place
3 .
What is the place value of 9 in 90,774.0267?
The ten thousandths' place
The thousands' place
The thousandths' place
The ten thousands' place
Reading the number from right to left immediately after the decimal point: 9 is in the ten thousands' place
4 .
What is the place value of 1 in 0.0010?
The thousandths' place
The hundreds' place
The hundredths' place
The thousands' place
Reading from left to right immediately after the decimal point: 1 is in the thousandths' place
5 .
What is the place value of 5 in 7,754.909?
The tenths' place
The hundreds' place
The tens' place
The hundredths' place
Reading the number from right to left immediately after the decimal point: 5 is in the tens' place
6 .
What is the digit in the ten thousandths' place in 44.0105?
1
5
4
0
Reading from left to right immediately after the decimal point: 5 is in the ten thousandths' place
7 .
What is the digit in the tens' place in 124.567?
2
5
4
6
Reading the number from right to left immediately after the decimal point: 2 is in the tens' place
8 .
What is the digit in the ten thousands' place in 21,321.0976?
7
1
2
6
Reading the number from right to left immediately after the decimal point: 2 is in the ten thousands' place
9 .
What is the digit in the hundredths' place in 4,621.9873?
6
2
7
8
Reading from left to right immediately after the decimal point: 8 is in the hundredths' place
10 .
What is the digit in the ones' place in 34.56?
4
5
3
6
Reading the number from right to left immediately after the decimal point: 4 is in the ones' place
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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