AC9M7N03Year 7NumberPractised on site

AC9M7N03 — Year 7 Number

Official Curriculum Content Description:

represent natural numbers in expanded notation using place value and powers of 10

Worked Examples (1)

Example 1Expanded Notation with Powers of 10

Write the number represented by the expanded notation

(7 \times 10^{4}) + (3 \times 10^{3}) + (1 \times 10^{2}) + (7 \times 10^{1})

in standard decimal form.

Common mistake: Miscounting power of 10 place values (e.g. omitting placeholder zeros).

Correct Answer:

73170

Worked Solution:

Calculate the value of each term:

(7 \times 10^{4}) + (3 \times 10^{3}) + (1 \times 10^{2}) + (7 \times 10^{1}) = 73170

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