For a science experiment, Mr. Barrows divides 3/4 cup of salt into small jars, each containing 1/10 cup. If he has 1/7 cup of salt left over, how many jars does he fill? Enter an expression you could use to solve the problem.

Kindly check explanation

Step-by-step explanation:

Given that :

Initial cup of salt = 3/4 cups ; divided into small jars

Fraction of salt in small jars = 1/10 cup

Fraction left over = 1/7 cup

Number of jars filled?

The fraction divided into the jars :

Initial amount - left over

3/4 - 1/7

(21 - 4) / 28

17 / 28

Fraction of salt per jar = 1/10

Number of jars filled :

Total fraction divided into jars / fraction of salt per jar :

(17 / 28) ÷ (1 /10)

(17 / 28) * (10 / 1)

170 / 28

= 6.0714

= 6 jars

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )