Question

which expressions are equal to $8 \times 10^5$? select all that apply.
$8 \times 1,000$
$8 \times 10,000$
$8 \times 100,000$
$8 \times 10 \times 10 \times 10 \times 10$
$8 \times 10 \times 10 \times 10 \times 10 \times 10$

Explanation:

Step1: Recall the meaning of \(10^n\)

\(10^n\) means multiplying 10 by itself \(n\) times. So \(10^5 = 10\times10\times10\times10\times10\), and also \(10^5=100000\) (since \(10^3 = 1000\), \(10^4=10000\), \(10^5 = 100000\)).

Step2: Analyze each option

• Option 1: \(8\times1000=8\times10^3

eq8\times10^5\)

• Option 2: \(8\times10000 = 8\times10^4

eq8\times10^5\)

• Option 3: \(8\times100000=8\times10^5\) (since \(100000 = 10^5\))
• Option 4: \(8\times10\times10\times10\times10=8\times10^4

eq8\times10^5\) (there are 4 tens multiplied)

• Option 5: \(8\times10\times10\times10\times10\times10=8\times10^5\) (there are 5 tens multiplied, so \(10^5\))

Answer:

• \(8\times100,000\)
• \(8\times10\times10\times10\times10\times10\)