C6a
Practice - Inequalities
TRY TO ANSWER IN TWO AND A HALF MINUTES.
QUESTIONS
QUESTIONS
1. The budget for your office allows 1/4 of the gross income for rent and utilities and 1/3 of the rest for salaries. The fraction of the gross income budgeted for salaries is (more than, equal to, or less than) the fraction budgeted for rent?
2. The expression 17 - (-5 +9) is (less than, equal to, or greater than) 13?
3. Is 4/7 (greater than, equal to, or less than) 1/2?
4. Is 4/7 (greater than, equal to, or less than) 4/9?
ANSWERS
1. Rent and utilities = 1/4 times gross income. Salaries = (3/4) times (1/3) times gross income = (3/12) times gross income = 1/4 times gross income. The answer is "equal to."
2. 17 - (-5+9) = 17 - (4) = 13. The answer is equal to.
3. It may be immediately obvious to you that 4/7 is greater than 1/2. If not, the least common denominator would be 14, so that the two fractions would convert to 8/14 and 7/14. The first one is greater, so that 4/7 > 1/2. You can also subtract one fraction from the other using the built-in calculator to see whether the difference is positive or negative.
4. It may be immediately obvious to you that 4 parts out of 7 is more than four parts out of 9. If not, note that the least common denominator is 63, that 4/7 = 36/63 and that 4/9 = 28/63, and that the first fraction is larger. You can also subtract the fractions directly using the built-in calculator, without having to use the least common denominator.
CALCULATOR STEPS
1. Press on and clear. Press n/d. Key in 1. Press down. Key in 3. Press right. Press x . Press ( . Key in 1. Press - . Press n/d. Key in 1. Press down. Key in 4. Press right. Press ) . Press enter. The screen should show 1/4. Equal to 1/4.
2. Press on and clear. Key in 17. Press - . Press ( . Press (-) . Key in 5. Press + . Key in 9. Press ) . Press enter. The screen should show "13". Equal to 13.
3. Press on and clear. Press n/d. Key in 4. Press down. Key in 7. Press right. Press - . Press n/d. Key in 1. Press down. Key in 2. Press enter. The screen should show "1/14". This is positive, so 4/7 > 1/2.
4. Press on and clear. Press n/d. Key in 4. Press down. Key in 7. Press right. Press - . Press n/d. Key in 4. Press down. Key in 9. Press enter. The screen should show "8/63". This is positive, so 4/7 > 4/9.