Answer:
56
Step-by-step explanation:
<span>Let x=0.8888...
x=0.8888 Start with the given equation
10x=8.8888 Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right)
Now subtract the equation x=0.8888 from 10x=8.8888 to get
10x-x=8.8888-0.8888
9x=8 Combine like terms. Notice how the decimal portions cancel out.
x=8/9 Divide both sides by 9 to isolate x
So the answer is x=8/9 which means that 8/9=0.8888 (where the 8's repeat)</span>
Complete question :
Hayley is buying herbs. She wants to buy 5/6 ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.
Answer:
0.8
Step-by-step explanation:
To obtain the fractional expression of weight in decimal form:
5/ 6 ounce of bassil is converted into decimal :
5 / 6 = 0.8333
Hence, for a fraction of 5 /6, we obtain;
5/6 = 0.8333
To the nearest tenth :
0.8
To convert fractions to decimals, divide the denominator into the numerator
3/9= .333333
123/999=.123123
hope this helps
