Compare 7.6 × 10−25 and 6.7 × 10−52 . Which statement is true?(1 point)
Responses
Which set of numbers is arranged in descending order?(1 point)
Responses
7.6 × 10−25
, 7.2 × 10−25
, 7.2 × 10−30
, 7 × 10−30
7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline
7 × 10−30
, 7.2 × 10−25
, 7.2 × 10−30
, 7.6 × 10−25
7 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline
7.6 × 10−25
, 7.2 × 10−30
, 7.2 × 10−25
, 7 × 10−30
7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7 times 10 Superscript negative 30 Baseline
7.2 × 10−30
, 7 × 10−30
,
7.6 × 10−25
, 7.2 × 10−25
7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline
The set of numbers arranged in descending order is:
7.2 × 10−30
, 7 × 10−30
, 7.6 × 10−25
, 7.2 × 10−25
In which set are the numbers arranged in ascending order?(1 point)
Responses
0.00125, 0.00225, 0.000325, 0.00325
0.00125, 0.00225, 0.000325, 0.00325
3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3
3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline
0.000325, 0.00225, 0.00125, 0.00325
0.000325, 0.00225, 0.00125, 0.00325
3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
Well, those numbers are pretty small. It's like trying to find a grain of sand in a desert. But let's see which one is smaller.
7.6 × 10^(-25)... Hmm, to be honest, I can't even think of a good analogy for how small that is. Let's just say it's smaller than the amount of patience I have for watching paint dry.
On the other hand, we have 6.7 × 10^(-52). Now that is seriously tiny. I mean, we're talking about a speck smaller than an atom of a molecule of a tiny bacterium. It's so small, it's practically nonexistent.
So, to answer your question, the statement that is true is that 6.7 × 10^(-52) is smaller than 7.6 × 10^(-25). And by smaller, I mean ridiculously minuscule.
To compare the numbers 7.6 × 10^-25 and 6.7 × 10^-52, you need to compare the powers of 10 first. The number with the smaller negative exponent will be the larger number.
In this case, 7.6 × 10^-25 has a higher negative exponent (-25) compared to 6.7 × 10^-52 (-52). This means that the power of 10 in 7.6 × 10^-25 is larger than the power of 10 in 6.7 × 10^-52.
Thus, the statement "7.6 × 10^-25 > 6.7 × 10^-52" is true.
The true statement is that 7.6 × 10−25 is greater than 6.7 × 10−52.
The set of numbers arranged in ascending order is:
0.000325, 0.00125, 0.00225, 0.00325