The powers of 2 are given in Table 1. Use this information to answer items 6 to 8. Exponential Form Table 1 Expanded Form Power of 2 22 2x2 23 2x2x2 24 2x2x2x2 25 2x2x2x2x2 8 16 32 6. Show that 1024 is a power of 2. [Refer to Table 1] 7. Write the exponential form of 1024. 8. Find a number that is a power of 2 that meets BOTH of these conditions: • The number is a multiple of 16. The number is also more than 50 but less than 200. 9. Is there a number between 0.998 and 0.999? If YES, give one example. If NO, explain why you think so. 10. Show how you will subtract 0.998 from 0.999. 3 4 11 Is there a fraction that is greater than but less than 1? If YES, give one example. explain why you think so.
Answer (1)
Here are my answers:6.) Show that 1024 is a power of 2:[tex] \sf {2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 1024}[/tex][tex] \sf{ {2}^{10} = 1024}[/tex]7.) Exponential Form of 1024:[tex] \sf{ {2}^{10} }[/tex]8.) Power of 2 multiples of 16, more than 50 but less than 200:[tex] \sf {2^5 =32}[/tex] (incorrect)[tex]\sf {2^6=64} [/tex] (correct)64 is a multiple of 16 and between 50–200.9.) Is there a number between 0.998 and 0.999? YES, example: 0.9985.10.) Subtract 0.998 from 0.999: 0.999 − 0.998 = 0.00111.) Is there a fraction greater than ¾ but less than 1? YES, example: [tex] \sf {\frac{7}{8}}[/tex]or [tex] \sf {\frac{9}{10}}[/tex].
