Which of the following numbers are rational? 9.6 8 ‾ 9.6\overline{8} 9 . 6 8 2.010110111... 2.010110111... 2 . 0 1 0 1 1 0 1 1 1 . . . 64 \sqrt{64} 6 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 51 5 -\frac{51}{5} − 5 5 1 6 \sqrt{6} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

9.6 8 ‾ 9.6\overline{8} 9 . 6 8

64 \sqrt{64} 6 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 51 5 -\frac{51}{5} − 5 5 1

2.010110111... 2.010110111... 2 . 0 1 0 1 1 0 1 1 1 . . .

6 \sqrt{6} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Express this number in standard form: 2.34 × 1 0 − 7 2.34\times10^{-7} 2 . 3 4 × 1 0 − 7

0.000000234 0.000000234 0 . 0 0 0 0 0 0 2 3 4

2 , 340 , 000 , 000 2,340,000,000 2 , 3 4 0 , 0 0 0 , 0 0 0

23 , 400 , 000 23,400,000 2 3 , 4 0 0 , 0 0 0

0.0000000234 0.0000000234 0 . 0 0 0 0 0 0 0 2 3 4

Which number is irrational?

65 \sqrt{65} 6 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

144 \sqrt{144} 1 4 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

81 \sqrt{81} 8 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

49 \sqrt{49} 4 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Explore Real Numbers and Their Properties

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Explore Real Numbers and Their Properties

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MULTIPLE SELECT QUESTION

2 mins • 1 pt

Which of the following numbers are rational?

$9.6\overline{8}$ $2.010110111...$ $\sqrt{64}$ $-\frac{51}{5}$ $\sqrt{6}$

$9.6\overline{8}$

$2.010110111...$

$\sqrt{64}$

$-\frac{51}{5}$

$\sqrt{6}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How would you classify the number 125?

Perfect square

Perfect cube

Both a perfect square and a perfect cube

Neither a perfect square or a perfect cube

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the side length of the square pictured?

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A cube shaped box has a volume of 64 cubic inches. If the box is filled with cubes that are 1 inch in size, how many cubes can fit along one side of the box?

2 cubes

4 cubes

8 cubes

16 cubes

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$x^4\div x^3$

$x^7$

$x^{12}$

$x$

$1$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\left(x^3\right)^4$

$x^7$

$x^{12}$

$x$

$x^{-1}$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$x^6\cdot x^4$

$x^2$

$x^{24}$

$x^{10}$

$x^{-2}$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$5^3\cdot6^3$

$11^6$

$11^3$

$30^6$

$30^3$

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$0.000000591$ Express this number in scientific notation:

$5.91\times10^{-7}$

$5.91\times10^{-6}$

$5.91\times10^6$

$5.91\times10^7$

Tags

CCSS.8.EE.A.3

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which answer shows the following number rewritten using a positive exponent:
$5^{-3}$

$5^3$

$\frac{1}{5^3}$

$\frac{1}{15}$

$\frac{1}{125}$

Tags

CCSS.8.EE.A.1

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Explore Real Numbers and Their Properties

Which of the following numbers are rational? 9.68‾9.6\overline{8}9.68 2.010110111...2.010110111...2.010110111... 64\sqrt{64}64​ −515-\frac{51}{5}−551​ 6\sqrt{6}6​

How would you classify the number 125?

What is the side length of the square pictured?

A cube shaped box has a volume of 64 cubic inches. If the box is filled with cubes that are 1 inch in size, how many cubes can fit along one side of the box?

x4÷x3x^4\div x^3x4÷x3

(x3)4\left(x^3\right)^4(x3)4

x6⋅x4x^6\cdot x^4x6⋅x4

53⋅635^3\cdot6^353⋅63

0.0000005910.0000005910.000000591 Express this number in scientific notation:

Which answer shows the following number rewritten using a positive exponent: 5−35^{-3}5−3

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Which of the following numbers are rational?

$9.6\overline{8}$ $2.010110111...$ $\sqrt{64}$ $-\frac{51}{5}$ $\sqrt{6}$

$x^4\div x^3$

$\left(x^3\right)^4$

$x^6\cdot x^4$

$5^3\cdot6^3$

$0.000000591$ Express this number in scientific notation:

Which answer shows the following number rewritten using a positive exponent:
$5^{-3}$