Identifying: Challenge & Extension

Mathematics
Year 9
16 questions
~32 mins
1 views0 downloads

About This Worksheet

A challenging worksheet focusing on identifying place values up to billions, designed for Year 9 students to extend their understanding and application skills.

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Full preview • 16 questions

Identifying: Challenge & Extension

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
What digit is in the hundreds place of the number 7,458,312,689?
[1 mark]
2.
Identify the place value of the digit 5 in the number 9,052,407,360.
[1 mark]
3.
In the number 3,264,897,530, which digit is in the ten-thousands place?
[1 mark]
4.
Calculate the value of the digit 4 in the number 5,407,369,124.
[2 marks]
5.
What digit is in the billions place of the number 1,234,567,890?
[1 mark]
B

Problem Solving & Reasoning

Work through each problem step-by-step and explain your reasoning.
1.
A number has a 3 in the millions place and a 7 in the thousands place. If the number is less than 9 billion, what is the smallest possible number that fits this description?
[3 marks]
2.
Explain why the digit 2 in 8,702,045,390 determines the number's value in the ten-millions place.
[3 marks]
3.
If the digit in the hundreds place of a number is 9 and the number is greater than 1 billion, what is the minimum possible number?
[3 marks]
4.
Describe a scenario where changing a single digit in a 9-digit number significantly affects its value. Include the place value involved.
[4 marks]
C

Real-world Applications

Apply your understanding to solve these contextual problems.
1.
A company's annual revenue is 4,235,768,901 dollars. Identify the digit in the hundred-millions place and explain what it represents.
[2 marks]
2.
A car's odometer reads 1,234,567,890 km. Which digit indicates the ten-thousands place, and what is its value?
[2 marks]
D

Challenge & Extension

Tackle these advanced problems to deepen your understanding.
1.
Construct a 9-digit number where the digit in the hundreds of millions is 5, the millions digit is 8, and the number is divisible by 11. List one possible number.
[4 marks]
2.
Identify a 10-digit number where the digit 9 is in the trillions place, the digit 0 in the billions place, and the number is a multiple of 1 billion. Provide one example.
[4 marks]
E

Mixed Review

Answer these questions to review various aspects of identifying place values.
1.
The digit 7 in the number 12,345,678,901 is in which place, and what is its value?
[2 marks]
2.
A student mistakenly identifies the digit 5 in 6,543,210,987 as being in the hundreds place. Correct the mistake and specify the actual place and value.
[2 marks]
F

Error Analysis

Review the common mistake and correct it.
1.
A student wrote that the digit 3 in 9,832,174,650 is in the hundred-thousands place, but marked the value as three hundred thousand. Identify the mistake and correct the place value and digit's value.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet