Real Number System Quiz

Point B could represent which of the following numbers?

• √24

• √30

• √35

• √42

Answer explanation

B is between whole numbers 5 and 6.
$5<B<6$

B is also much closer to 6 than it is to 5. That means the square of B will also be between the squares of 5 and 6, but closer to the square of 6.
$5^2<B^2<6^2$

$25<B^2<36$

This means $B^2$ is between 25 and 36, but closer to 36.
$\left(B=\sqrt{B^2}\right)$

35 is the closest value to 36 provided without surpassing it.
$B\approx\sqrt{35}$

Tags

CCSS.8.NS.A.2

What is the approximate value of √12 ?

• 2

• 3.5

• 4.5

• 6

Answer explanation

$9<12<16$
$\sqrt{9}<\sqrt{12}<\sqrt{16}$
$3<\sqrt{12}<4$

3.5 is the only value provided that falls within this range.

Tags

CCSS.8.NS.A.2

Which is the best approximation of point P?

• √8

• √2.8

• 17/5

• 2 1/4

Tags

CCSS.8.NS.A.2

Which value is best represented by point Q?

• √5.4

• √29.5

• √35.5

• √5.9

Tags

CCSS.8.NS.A.2

Which value best approximates point R?

• 18/4

• √50.9

• √7.13

• π²

Tags

CCSS.8.NS.A.2

Estimate the square root.

• 9.8
• 9
• 9.3
• 10

Tags

CCSS.8.NS.A.2

What is the side length of a square that has an area of 36?

• 9
• 18
• 6
• 1296

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CCSS.8.EE.A.2

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CCSS.8.NS.A.2

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CCSS.8.NS.A.2

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CCSS.6.NS.C.7A

CCSS.6.NS.C.7B