Recall that with base-ten blocks: 1 long equals=10 units, 1 flat equals=10 longs

Question

Recall that with base-ten blocks: 1 long equals=10 units, 1 flat equals=10 longs, and 1block equals=10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?

a. 20 longs in base seven

b. 10 longs in base three

a) The fewest number of multibase blocks that can represent 20 long(s) in base seven is ____, comprised of____ blocks, ___ flats, ___ long, and ___ units.

b) The fewest number of multibase blocks that can represent 10 long(s) in base three is _2___, comprised of__1__ blocks, __0_ flats, __1_ long, and __0_ units.

I believe b is 2,1,0,1, & 0 is correct...but I don't know about a...I need help with breaking down the equation please.

Explanation / Answer

a) in base seven

1 longs = 7 unit 1 flat = 7 long and 1 block = 7 flats

we want to make 20 longs

so 0 block

2 flate = 14 long

and remaining is 6 long

so answer is

The fewest number of multibase blocks that can represent 20 long(s) in base seven is _8___,

comprised of___0_ blocks, _2__ flats, __6_ long, and _0__ units.

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