8th Mod 1 Review

8th Mod 1 Review

Take your time

do not guess -- the timer will not run out

Multiple Choice

Simplify:

8⁷ x 8³ =

• 8⁴

• 8¹⁰

• 64²¹

• 64¹⁰

Multiple Select

 $\frac{14^8}{14^{12}}\ =\$  there is more than one correct answer

•  $14^{20}$  

•  $14^4$  

•  $14^{-4}$  

•  $\frac{1}{14^4}$  

Multiple Choice

Rewrite the following:  $\frac{1}{62^3}$  

•  $\frac{1}{62^{-3}}$  

•  $62^{-3}$  

•  $62^3$  

•  $-\left(\frac{1}{62^3}\right)$  

Multiple Choice

Rewrite the following:

 $\frac{1}{9^{-6}}$  

•  $9^{-6}$  

•  $\frac{1}{9^6}$  

•  $9^6$  

•  $6^9$  

Multiple Select

Check all bases that would require parentheses

• 1/2

• -9.28

• 8.284

• 0.00238

• 11/12

Multiple Choice

Estimate the following number to the nearest hundred million:

398,920,239

• 200,000,000

• 300,000,000

• 400,000,000

• 500,000,000

Multiple Choice

Put 400,000,000 into scientific notation

• 400 x 10⁶

• 4 x 10⁹

• 4 x 4⁸

• 4 x 10⁸

We just estimated 398,920,239 to 400,000,000 -- and then turned it into scientific notation.

In the next question, were going to do that in one question instead of 2

Multiple Choice

Which is the closest estimate to 5,328,912 ?

• 5 x 10⁶

• 5 x 10⁷

• 4 x 10⁶

• 6 x 10⁶

5,328,912 is rounded down to 5,000,000 -- so we would put 5,000,000 into scientific notation

Multiple Choice

Which is the closest estimate to 8,683,112 ?

• 7 x 10⁶

• 8 x 10⁶

• 9 x 10⁶

• 8 x 10⁷

One micrometer equals about 0.00004 inches.  Complete the sentence.

When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is ___ and the power of 10 is ___

Multiple Choice

One micrometer equals about 0.00004 inches. Complete the sentence.

When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is ___ and the power of 10 is ___

• single digit is 4 and the power of 10 is 6

• single digit is 4 and the power of 10 is 4

• single digit is 0 and the power of 10 is 5

• single digit is 4 and the power of 10 is 5

single digit is 4 and the power of 10 is 5 is the same thing as 4 x 10⁵

 $\frac{7^{13}}{7^p}\ =\ 7^9$  

(the p is an exponent)

Consider the equation above. How could we solve for p? (Remember laws of exponents)

Multiple Choice

 $\frac{7^{13}}{7^p}=\ 7^9$  how can we solve for p? 

• 13 / p = 9

• p - 13 = 9

• 13 - p = 9

• p / 13 = 9

 $\frac{7^{13}}{7^p}\ =\ 7^9$  

We solve for p by doing 13 - p = 9 
Because our laws of exponents tell us that when we divide numbers with the same base, you stubtract the exponents. So when we solve we would do 13-p

Look at the table. Which star is the smallest?

remember your answer for the next question

Multiple Choice

Look at the table. Which star is the smallest?

• Acrux

• Sirius

• Vega

• Deneb

Acrux is the smallest because it has the smallest power of 10

Which is the biggest?? Answer in the next slide (DONT CHAT IT!)

Multiple Choice

Look at the table. Which star is the biggest?

• Acrux

• Sirius

• Vega

• Deneb

Sirius and Deneb both have a the highest power of ten on the table (11). Sirius is bigger because the leading digit is bigger.

(2.28 > 1.1)