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Questions and Answers
What is the population of the city written in standard form if it is expressed in expanded notation as (6 * 100,000) + (5 * 1,000) + (2 * 10)?
What is the population of the city written in standard form if it is expressed in expanded notation as (6 * 100,000) + (5 * 1,000) + (2 * 10)?
- 650,200
- 605,020
- 600,520
- 605,200 (correct)
How many points does Beth have remaining on her grocery store bonus card if she spent $342.70, used 95 points, spent $118.48, and then used 78 points?
How many points does Beth have remaining on her grocery store bonus card if she spent $342.70, used 95 points, spent $118.48, and then used 78 points?
- 285
- 290
- 330
- 287 (correct)
Which fraction is valid to place in the box to make the statement 4/9 > ? true?
Which fraction is valid to place in the box to make the statement 4/9 > ? true?
- 2/3
- 2/5 (correct)
- 1/2
- 3/4
Which statement correctly represents the decimal equivalent?
Which statement correctly represents the decimal equivalent?
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What is the correct expansion of the number 605,200 using place values?
What is the correct expansion of the number 605,200 using place values?
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Study Notes
Expanded Notation to Standard Form
- To convert an expanded notation to standard form, we need to calculate the value of the given expression.
- Example: (6 × 100,000) + (5 × 1,000) + (2 × 10) = 600,000 + 5,000 + 20 = 605,020
Rounding and Earning Points
- When earning points by rounding each purchase to the nearest dollar, we need to round the purchase amount to the nearest whole number.
- Example: If Beth spent $342.70, she earns 343 points.
- When using points for gas, we subtract the used points from the total points earned.
Comparing Fractions
- To compare fractions, we need to find the equivalent decimals or convert both fractions to have the same denominator.
- Example: To compare 4/9 with the given options, we can convert all fractions to decimals: 4/9 = 0.44, 2/3 = 0.67, 3/4 = 0.75, and 2/5 = 0.4.
- Then, we can compare the decimal values to find the correct answer.
Decimal and Fraction Equivalence
- Decimals and fractions can be equivalent.
- Example: 28.7 can be written as 28 7/10 or 28 70/100, but not 28 7/100 or 28 77/10.
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