3.4 Which base -10 ( Dienes) blocks represent the sum of 1034 and 675?
1 cube = 10 falt;
1 flat = 10 rod;
1 rod = 10 unit.
1034 = 1 cube , 3 rod, 4 unit
675 = 6 flat , 7 rod , 5 unit
1034 + 675 = 1 cube, 6 flat, 10 rod, 9 unit
Since, 10 rod is equal to 1 flat, we express it as follows:
1 cube 7 flat 0 rod 9 unit = 1709
Answer:
1 cube, 7 flat, 9 unit
comment: The shapes are shown in the figure above.
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