After a busy day at the dinosaur dig, Emek and Luna found three fossil crates with damaged labels. One label said 4 rows of 7 fossils, another said 7 rows of 4, and the last said 5 rows of 6. Emek noticed that the first two arrangements both held 28 fossils, even though their rows were turned differently. The third held 30 fossils. By matching these totals with the packing notes, they identified the correct crates. Luna checked each array before they replaced the labels. Soon all the fossils were safely packed and ready for transport.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Compare 4 * 7 with 7 * 4.
Luna says that 4 rows of 7 fossils and 7 rows of 4 fossils contain the same total number of fossils. Which statement best explains why she is correct?
Both arrangements have 7 rows.Changing the order of 4 and 7 does not change their product.Adding 4 and 7 gives 28.Both arrangements have 30 fossils.Correct! Changing the order of the factors does not change the product.
Try again. Think about what happens when the order of the factors is switched.
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Hint
Find the two totals and then find their difference.
The crate with 5 rows of 6 fossils has more fossils than a crate with 4 rows of 7 fossils. How many more fossils does it have?
Correct! The crate with 5 rows of 6 has 2 more fossils.
Try again. Compare the totals for 5 * 6 and 4 * 7.
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Hint
Calculate both products and compare them.
Emek checks a new packing note that says 6 rows of 5 fossils should hold the same number as the crate with 5 rows of 6 fossils. Is the packing note correct?
No, because 6 * 5 = 11.No, because 6 * 5 = 25.Yes, because 6 * 5 and 5 * 6 both equal 30.Yes, because 6 + 5 and 5 + 6 both equal 30.Correct! Both arrangements contain 30 fossils.
Try again. Check the products 6 * 5 and 5 * 6.
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🎉 Congrats! You finished this challenge set!
