Number and Operations>Approximating and Locating Irrational Numbers on a Number Line(TEKS.Math.8.2.B)
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Texas 8th Grade Math › Number and Operations>Approximating and Locating Irrational Numbers on a Number Line(TEKS.Math.8.2.B)
Approximate $\sqrt{98}$ to the nearest hundredth.
10
10
10
98
Explanation
Since $81=9^2$ and $100=10^2$, $98$ is between them, so $\sqrt{98}$ is between $9$ and $10$. A quick check: $9.9^2=98.01$, so $\sqrt{98}\approx9.90$ to the nearest hundredth.
Approximate $\sqrt{221}$ to the nearest tenth.
15
15
15
221
Explanation
Since $14^2=196$ and $15^2=225$, $221$ is between them and closer to $225$, so $\sqrt{221}$ is a little less than $15$. Calculator: $\sqrt{221}\approx14.866\dots$, which rounds to $14.9$ to the nearest tenth.
Approximate $\sqrt{50}$ to the nearest hundredth.
7
7
7
50
Explanation
Since $\sqrt{49}=7$ and $\sqrt{64}=8$, $\sqrt{50}$ is just over $7$. Calculator: $\sqrt{50}\approx7.071\dots$, which rounds to $7.07$ to the nearest hundredth.