Digits, Grade 7, Volume 1, Homework Helper

1-4: TEKS Practice

• 1. Is the product − 8 · (− 3) positive or negative?

• 2. Is the product (− 0.39)(− 0.06)(0.29) positive or negative?

• 3. Find the product negative , 5 sixths , middle dot , 1 eighth , .

• 4. Multiply negative 2 , and 1 half , middle dot negative 1 , and 2 thirds , .

• 5. Multiply negative 7 , and 1 half , middle dot 2 , and 3 fourths , .

• 6. Multiply (− 0.6)(− 0.62).

• 7. Multiply (− 2.271)(16.47).

• 8. A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 15 , and 3 fifths bushels each day. Represent the total change in the number of bushels he has for sale after 6 days.

• 9.

• a. Writing What is the sign of a 2 b when = 5 and = 8?

• b. Does the sign of the product depend on the sign of a, the sign of b, or the signs of both a and b? Explain.

• 10. Think About the Process

• a. What is the first step in finding the product negative 4 , and 7 eighths , middle dot . open . negative 2 , and 1 half . close . question mark

• A. Multiply the integers.

• B. Find the sign of the product.

• C. Multiply the fractions.

• D. Change the sign of the second factor.

• b. Find the product negative 4 , and 7 eighths , middle dot . open . negative 2 , and 1 half . close . .

• 11. Reasoning What is the sign of the product open negative 2 close . open , 1 sixth , close . open negative 7 close question mark Explain your reasoning.

• 12. Error Analysis Kyle incorrectly says that the product negative . open , negative , 6 sevenths , close . . . open , negative , 1 eleventh , close is 6 seventy sevenths , .

• a. What is the correct product?

• b. What was Kyle's likely error?

• A. He found the product of two negative numbers and ignored the first negative sign.

• B. He multiplied the numerator and denominator wrong.

• C. He multiplied the numerators wrong.

• D. He multiplied the denominators wrong.

• 13. Temperature Suppose there is a 1.1 °F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.7 °F, what will be the temperature when the plane reaches an altitude of 11,000 ft?

• 14.

• a. Estimation Estimate the product (14.93)(− 12.66) by rounding each factor to the nearest integer and multiplying.

• b. Find the exact product.

• 15. Multiply negative , 6 elevenths , . . open , negative , 1 thirteenth , close . .

• 16. A container holds 80,000 ounces of water. There is a small leak in the container. Every 96 minutes, 1.9 ounces of water leak out. Represent the total change in the amount of water in the container after 8 hours.

• 17. Think About the Process A ticket to see your favorite baseball team costs \$49.64. That price decreases by \$0.41 for every game lost during the regular season.

• a. Which equation would be used to find the cost C of a ticket after L losses?

• A. C = 49.64 − 0.41L

• B. C = 49.64 + 0.41L

• C. c equals . fraction 49.64 , over 0.41 l end fraction

• D. C = 49.64(0.41L)

• b. Represent the total change in the cost of a ticket after the team loses 31 games.

• c. What is the price of a ticket after the team loses 31 games?

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