Question

1. why is 4,542 less than 4,547? (a) it has fewer ones. (b) it has fewer tens. (c) it has fewer hundreds. (d) it has fewer thousands. 2. the table below shows how many magazines four schools sold for a fundraiser. which school sold the least number of magazines? use a number line to help compare the numbers. school magazines sold lane school 1,569 jefferson school 1,539 smith school 1,505 lincoln school 1,560 (a) lane school (b) jefferson school (c) smith school (d) lincoln school 3. last year, 288 people saw the school play. this year, 91 more people saw the play. what is the best estimate of how many people saw the play this year? (a) about 300 people (b) about 400 people (c) about 500 people (d) about 600 people 4. rick makes 50 picture frames each week. how many frames does he make in 20 weeks? 5. kurt has 316 books. jenna has 321 books. dale has 99 books. how many books do they have in all? 6. mr. silva has 8 boxes of drills at his store. each box has 24 drills. how many drills does mr. silva have? explain how you found your answer. 7. what is 30×60?

Explanation:

Step1: Compare digits in place - value for question 1

4542 has 2 ones and 4547 has 7 ones. Since 2 < 7, 4542 has fewer ones. The answer to question 1 is A.

Step2: Compare numbers for question 2

1505 < 1539 < 1560 < 1569. Smith School sold the least number of magazines. The answer to question 2 is C.

Step3: Estimate sum for question 3

288 is about 300 and 91 is about 100. 300 + 100=400. The best estimate of people who saw the play this year is about 400. The answer to question 3 is B.

Step4: Multiply for question 4

50×20 = 1000. Rick makes 1000 frames in 20 weeks.

Step5: Calculate sum for question 5

316+321 + 99=316+(321 + 99)=316 + 420=736. They have 736 books in all.

Step6: Multiply for question 6

8×24=(8×20)+(8×4)=160 + 32 = 192. Mr. Silva has 192 drills. We used the distributive property of multiplication over addition.

Step7: Multiply for question 7

30×60=(3×10)×(6×10)=(3×6)×(10×10)=18×100 = 1800.

Answer:

1. A. It has fewer ones.
2. C. Smith School
3. B. About 400 people
4. 1000
5. 736
6. 192. We used the distributive property of multiplication over addition: 8×24=(8×20)+(8×4)=160 + 32 = 192.
7. 1800