Question

question 6
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: Convert to standard form

For \(1.2\times10^{4}\), move the decimal 4 places right: \(1.2\times10^{4}=12000\).
For \(9.8\times10^{5}\), move the decimal 5 places right: \(9.8\times10^{5}=980000\).

Step2: Compare the numbers

Compare \(12000\) and \(980000\). Since \(12000<980000\).

Answer:

Disagree. \(1.2\times 10^{4}=12000\) and \(9.8\times 10^{5}=980000\), and \(12000 < 980000\).