The homework questions ask students to estimate and then provide the actual count for different sets of objects.

Each column has 9 apples.

There are 5 columns.

Actual count = $5 \text{ columns} \times 9 \text{ apples/column} = 45$ apples.

An estimate of 40 is reasonable for an actual count of 45.

• Estimate: $\boxed{40}$
• Actual: $\boxed{45}$

:

Each small group consists of 10 red shapes ($2 \times 5$).

There are 5 rows of groups, and each row has 4 groups.
Total groups = $5 \text{ rows} \times 4 \text{ groups/row} = 20$ groups.

Actual count = $20 \text{ groups} \times 10 \text{ shapes/group} = 200$ shapes.

An estimate of 160 is reasonable for an actual count of 200.

• Estimate: $\boxed{160}$
• Actual: $\boxed{200}$

:

Each group consists of 5 purple figures.

There are 6 groups.

Actual count = $6 \text{ groups} \times 5 \text{ figures/group} = 30$ figures.

An estimate of 30 is accurate for an actual count of 30.

• Estimate: $\boxed{30}$
• Actual: $\boxed{30}$