Answer to Question #350434 in Algebra for Pro

Question

Which base 10 (Dienes) blocks represent the sum of 1034 and 675

Answer 1

4sets of blocks are used, that is the base 10blocks.

Unit, rods, flats, and cubes are the block used for the visual representation.

1Cube=10square

1square= 10column

1column= 10dot

Represent the number 1034 using base-10 (Dienes) blocks

1 cube, 0 flat, 3 rods, and 4 units.

Represent the number 675 using base-10 (Dienes) blocks

6 flats, 7 rods, and 5 units.

Represent the sum of 1034 and 675 using base-10 (Dienes) blocks

1034+675= (1 cube, 0 flat, 3 rods, and 4 units)+(6 flats, 7 rods, and 5 units)

Add units to units, rods to rods, flats to flats, and cubes to cubes, that is the number at ones place to ones place, tens place to the tens place, hundreds place to the hundreds place, and thousands place to the thousands place.

1034+675 =1 cube ,7 flats, 0 rods , and 9 units

Thus, the sum of 1034 and 675 is 1 cube,7 flats, 0 rods, and 9 units in the base-10 (Dienes) block.