# Aliyah wants to estimate the value of the quotient of 5.68 times 10 Superscript negative 3 and 8.54 times 10 Superscript negative

###### Question:

1 The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1.

2 The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

3 The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller.

4 The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.

HELP PLZ

## Answers

A. He changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.

B. He rewrote [tex]-28.53\times10^4[/tex] incorrectly; [tex]28.53\times 10^4 = 2.853\times 10^5[/tex]. The exponent is increased to account for the extra place the decimal is moved.

Step-by-step explanation:

Given expression : [tex](6.34\times10^{-7})(4.5\times10^3)[/tex]

[tex]=(6.34\times 4.5)(10^-7\times10^3)[/tex] [Taking coefficients and exponents separate]

[tex]=28.53\times10^{-7+3}[/tex] [By law of exponent]

[tex]=28.53\times10^{-4}[/tex]

Here he changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.

Convert in scientific form.

[tex]28.53\times10^{-4}=2.853\times10\times10^{-4}\\=2.853\times10^{1-4}\\=2.853\times10^{-3}[/tex]

In the given explanation he rewrote [tex]-28.53\times10^4[/tex] incorrectly; [tex]28.53\times 10^4 = 2.853\times 10^5[/tex]. The exponent is increased to account for the extra place the decimal is moved.

Thus, option A and B express the errors done by Stephen.

0.008

Step-by-step explanation:

1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008. negative-exponent. That last example showed an easier way to handle negative exponents

6.65105386*10^5

A

Step-by-step explanation:

(5.68*10^-3)/(8.54 *10^-9

when divide negative over negative it gives positive

10^-3 / 10^-9=10^6

5.68/8.54=0.665

0.665*10^6=6.65*10^5

6.65105386*10^5

A

Step-by-step explanation: I took the quiz

answer:

00 points?

step-by-step explanation:

answer:

4

step-by-step explanation:

1= 25

2=1/25

3=25

4=-1/25

4 does not belong because it is the only negative

D.

Step-by-step explanation:

2^a*2^5/2^b = 2^(a+5)/2^b. using power of a product property.

then

2^(a+5)/2^b= 2^(a+5)*2^-b. Using Negative Exponent property.

Again we can use power of a product property and we get 2^(a+5)*2^-b=2^(a-b+5)

product of powers

power of a power

negative exponent

Step-by-step explanation:

I just took the assignment and got it right.

The statement - “ the value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number “ - iS VERY TRUE

Step-by-step explanation:

hope helps

wrong A And B

He changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.

He rewrote Negative 28.53 times 10 Superscript 4 incorrectly; 28.53 times 10 Superscript 4 Baseline = 2.853 times 10 Superscript 5. The exponent is increased to account for the extra place the decimal is moved.

Step-by-step explanation: