How many times is 5 × 10^6 larger than 5 × 10^4 ?
Answer: _____ times
How many times is 5 × 10^6 larger than 5 × 10^4? Answer: _____ times
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To determine how many times ( 5 times 10^6 ) is larger than ( 5 times 10^4 ), we can set up the comparison:
1. Start by dividing the two values:
[
frac{5 times 10^6}{5 times 10^4}
]
2. The ( 5 ) in the numerator and denominator cancels out:
[
frac{10^6}{10^4}
]
3. Using the properties of exponents, we subtract the exponents:
[
10^{6-4} = 10^2
]
4. Therefore, ( 10^2 = 100 ).
Thus, ( 5 times 10^6 ) is 100 times larger than ( 5 times 10^4 ).
Answer: 100 times