Which sign makes the statement true?
−√18 ? −7 1/5
>
<
Which sign makes the statement true? −√18 ? −7 1/5
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Which sign makes the statement true?
−√18 ? −7 1/5
>
<
To determine which sign makes the statement true, we need to calculate the value of −√18 and compare it to −7 1/5.
First, let’s simplify −√18:
1. √18 can be simplified to √(9 * 2) = 3√2.
2. Therefore, −√18 = −3√2.
Now we need to approximate the value of −3√2:
– Since √2 is approximately 1.414, we have:
– −3√2 ≈ −3 * 1.414 ≈ −4.242.
Next, let’s convert −7 1/5 to an improper fraction or decimal:
– −7 1/5 = −7 – 0.2 = −7.2.
Now we compare:
– −4.242 is greater than −7.2.
Thus, the statement −√18 ? −7 1/5 can be rewritten with the greater-than sign:
−√18 > −7 1/5.
So, the correct sign is >.