Math Problem Statement

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?

Solution

To determine when the display on the scale is correct to the tenths place for 56\frac{5}{6} ounces of basil, you need to convert the fraction 56\frac{5}{6} into a decimal.

Conversion:

56=0.8333\frac{5}{6} = 0.8333\ldots This is a repeating decimal, but you want the scale to display it rounded to the tenths place.

Rounding:

When rounding 0.8333 to the tenths place:

  • The tenths digit is 8.
  • The hundredths digit is 3, which is less than 5, so you leave the tenths place as it is.

Thus, the correct weight in decimal to the tenths place is 0.8 ounces.

Conclusion:

Hayley should stop when the scale reads 0.8 ounces.

Would you like more details on rounding, or do you have any questions?

Here are 5 related questions to expand on:

  1. How do you convert a fraction to a decimal?
  2. What is the significance of the tenths place in decimals?
  3. How can you estimate a repeating decimal without fully converting it?
  4. What is the process of rounding a decimal to a specific place value?
  5. Why is rounding important in everyday measurements?

Tip: Always look at the digit to the right of the place value you're rounding to; it determines whether to round up or stay the same.

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Math Problem Analysis

Mathematical Concepts

Fraction to Decimal Conversion
Rounding Decimals

Formulas

Decimal Conversion: 5/6 ≈ 0.8333
Rounding Rule: Look at the next decimal place to decide whether to round up or down

Theorems

Rounding Theorem: When rounding a number, consider the digit to the right of the place value you're rounding to

Suitable Grade Level

Grades 5-7