Ramin must calculate 8.42 = 3.6 longhand, but he can't remember what to do about decimal points. Instead, Ramin solves the division problem 842 = 36 longhand and gets the answer 23.38. Ramin knows that he must shift the decimal point in 23.38 somehow to get the correct answer to
8.42 - 3.6. Explain how Ramin could use estima-
tion to determine where to put the decimal point.

Do 12/14 and 8/10 have the same value? explain your answer.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Out of the 180 students at a summer camp, 72 signed up for canoeing. there were 23 students who signed up for trekking, and 13 of those students also signed up for canoeing. use a two-way table to organize the information and answer the following question: approximately what percentage of students signed up for neither canoeing nor trekking? 72% 40% 54% 98%