Use place value understanding and properti...

1

Solve $6{\overline{\smash{)}45}}$ by making a rectangular array.

$7\ R3$

$7\ R2$

$7\ R4$

$6\ R2$

$6\ R3$

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high with squares left over, which is our remainder.

$45\div6=7\ R3$

2

Solve $6{\overline{\smash{)}45}}$ by making a rectangular array.

$7\ R3$

$7\ R2$

$7\ R4$

$6\ R2$

$6\ R3$

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high with squares left over, which is our remainder.

$45\div6=7\ R3$

3

Solve $5{\overline{\smash{)}70}}$ by making a rectangular array.

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high.

$70\div5=14$

4

Solve $5{\overline{\smash{)}70}}$ by making a rectangular array.

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high.

$70\div5=14$

5

Solve $9{\overline{\smash{)}119}}$ by making a rectangular array.

$13\ R2$

$13\ R4$

$13\ R5$

$12\ R2$

$12\ R3$

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high with squares left over, which is our remainder.

$119\div9=13\ R2$

6

Solve $6{\overline{\smash{)}42}}$ by making a rectangular array.

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high.

$42\div6=7$

42 6

7

Solve $3{\overline{\smash{)}29}}$ by making a rectangular array.

$9\ R2$

$9\ R4$

$8\ R2$

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high with squares left over, which is our remainder.

$29\div3=9\ R2$

8

Solve $9{\overline{\smash{)}63}}$ by making a rectangular array.

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high.

$63\div9=7$

63 9

9

Solve $5{\overline{\smash{)}45}}$ by making a rectangular array.

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high.

$45\div5=9$

10

Solve $9{\overline{\smash{)}119}}$ by making a rectangular array.

$13\ R2$

$13\ R4$

$13\ R5$

$12\ R2$

$12\ R3$

Explanation

Using our problem to make a rectangular array, we know that we are going to use a total of squares, and one dimension of the rectangular array is going to have squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height.

We can start with squares and keep adding on top of the previous until we've used all squares. Our rectangular array is squares high with squares left over, which is our remainder.

$119\div9=13\ R2$

Use place value understanding and properties of operations to perform multi-digit arithmetic

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