Section 2.1 Extra Practice

Transcription

1 Section. Extra Practice. BLM 5.. Identify the rational numbers. a) b) Write the opposite of each rational number. a) 9 b) c) 7.6 d) 6. e) 0 f) Match each letter on the number line to one of the following rational numbers Compare order.,.7, 0.6,, and 0.6. Write the numbers in ascending 5. Compare 0.5, 6,,.9, and.. Write the numbers in descending order. 6. Identify the equivalent fraction pairs. a) 0, 0 b) 7, c) 5, 5 7. Identify the equivalent rational number pairs. a), b).6, c) 0.8, 5

2 8. Identify the smaller value in each pair.. BLM 5. (continued) a), b) 7 8, 8 9 c) 7, 7 d) 00, 0 e), f) 0, 8 9. For each of the following pairs of rational numbers, i) write the rational numbers in decimal form ii) identify a decimal number between the pair of decimal numbers a), b) 5, 5 c) 0, 8 d), 5 6 e), 5 f) 9 0, 0. For each of the following pairs of rational numbers, i) write the rational numbers in fraction form ii) identify a fraction between the pair of fractions a) 0.8, 0.9 b) 0.65, 0.66 c) 0.9,. Express each rational number as a fraction or mixed number in lowest terms. a) 7 () b) c).. Which integers are between 6 and 9?

3 Section. Extra Practice. BLM 7.. For the following addition and subtraction questions, i) estimate the sum or difference ii) calculate the answer a) (.) b) (8.0) c) d).75 (.) e) f) 0.59 (0.085). For the following multiplication and division questions, i) estimate the product or quotient ii) calculate the answer. Express your answer to the nearest thousandth, if necessary. a). 6.5 b) 5. (9.) c).68 (.) d) 5.7 (.) e) (.7)(.) f) 8.8 (0.) g) 6 h) (0.9)(0.9). i) Estimate. ii) Then, calculate. a) 6. + (0.7) (. + 0.) b). (.) + (0.88). c) 6. (.).0 0.5

4 For # to 7,. BLM 7. (continued) a) write an expression using rational numbers to represent the problem, then calculate b) write a sentence to answer the problem. Camille s chequing account balance is $5.5. She writes a cheque for the amount of $59.5. What is the balance in her account now? 5. On a cold winter Monday in Calgary, the temperature reached a high of C. On Tuesday, the high went up by C. On Wednesday, it went down C. On Thursday, it went up by 9 C. On Friday, it cooled down by C. What was the temperature on Friday? 6. As a fundraiser, the student council ordered 0 birthday cards, with a picture of the school s logo. The cards cost the student council $.5 each. They sold 6 cards for $.00 each. How much profit did the student council make on their birthday card sale? 7. The hottest day in Canada on record was on July 5, 97, in Midale and Yellowgrass, Saskatchewan, when the temperature peaked at 5 C. The coldest day in Canada was in Snag, Yukon, at 6 C. What is the difference in temperature between the hottest day and coldest day in Canada? 8. For each set of numbers, determine (i) the range (ii) the median (iii) the mean Show your work. Express your answer to the nearest hundredth, if necessary. a).5, 8.,.,.8, 0.6, 5.8, 0.5 b) 7.,., 9.,.,.7, 0,.

5 Section. Extra Practice. BLM 9.. i) Estimate. ii) Then, calculate. Show your work. a) + 8 d) b) + c) e) + f) + 5 g) + h) 7 6. i) Estimate. ii) Then, calculate. Show your work. a) 5 d) 5 b) e) 8 c) 5 f) g) h) For # and, a) write an expression using rational numbers to represent the problem, then calculate b) write a sentence to answer the problem. Mark has newspapers to deliver. In one apartment building, he delivers 8 of them. In the next apartment building, he delivers of the remaining amount. How many papers does he have left to deliver?. The Rodriquez family has a monthly income of $6000. They budget for food, for rent, for clothing, and for savings. How much money is left 5 0 for other expenses? 5. Complete each statement. Show your work. a) = 5 6 c) = 8 b) + 5 = 0 d) =

6 Section. Extra Practice. BLM.. i) Estimate, ii) then calculate, the number that has the given square root. a). (i) = 5 =. (ii). = b).7 c) 0.78 d) 0. (i) = =.7 (ii).7 = (i) 0.7 = 0.8 = 0.78 (ii) 0.78 = (i) = = (ii) =. Estimate (i), then calculate (ii), the area of each square, given its side length. Remember to include the units in each summary statement. a). cm (i) = =. An estimate for area of the square is. (ii). = The area of the square is.

7 b) 8.9 m (i) (8 m) =. BLM. (continued) (9 m) = (8.9 m) An estimate for area of the square is. (ii) (8.9 m) = The area of the square is. c) 0.5 mm (i) (0.5 mm) = (0.6 mm) = (0.5 mm) An estimate for area of the square is. d) km (ii) (0.5 mm) (i) (0.08 km) = The area of the square is. = (0.09 km) = (0.086 km) An estimate for area of the square is. (ii) (0.086 km) = The area of the square is.. Determine whether each rational number is a perfect square. If it is a perfect square, write the product as an expression of two equal rational factors. a) 0.9 YES NO b) YES NO e) 0 YES NO f). YES NO c) 5 9 YES NO g) YES NO d) 0.8 YES NO h) 00 YES NO. Evaluate. Show your work. a) 56 b).6 c) 5 d) Calculate the side length of each square from its area. Show your work. a). cm b) 65 m c) 0.09 mm d) 0.6 km

8 . BLM. (continued) 6. (i) Estimate, (ii) then calculate, each square root to the specified number of decimal places. Example: i) 9 7, 56 to the nearest hundredth 6 8, ii) 7.8 a) 8 to the nearest tenth i) ii) b) 5.6 to the nearest hundredth i) ii) c) 0.9 to the nearest thousandth i) ii) 7. A square lot has an area of 0.5 ha. What are the lot s dimensions to the nearest metre? Show your work. Hint: ha = m 8. Find the difference between the square of 9 and the square root of 9. Show your work.