Question

a student says that 1.2 × 10⁴ is larger than 9.8 × 10⁵. do you agree or disagree? explain your reasoning using standard form.
question 6
i can describe large and small numbers using powers of 10.
i can represent large and small numbers on the number line.
i can apply arithmetic rules with powers of 10.
i can identify whether a number is written in scientific notation and understand its meaning.

Explanation:

Step1: Expand the numbers

$$1.2\times10^{4}=1.2\times10000 = 12000$$

$$9.8\times10^{5}=9.8\times100000=980000$$

Step2: Compare the expanded numbers

Since \(12000<980000\), \(1.2\times 10^{4}<9.8\times 10^{5}\)

Answer:

Disagree. \(1.2\times 10^{4}=12000\) and \(9.8\times 10^{5}=980000\), so \(1.2\times 10^{4}\) is smaller than \(9.8\times 10^{5}\).