5th Grade Multiplying Multi-Digit Whole Numbers Test Solutions and Scoring (PDF)

(a) \(3\times6=18\), \(80\times6=480\), \(400\times6=2{,}400\). Total 2,898.

(b) \(72\times4=288\), times 10 is 2,880.

Scoring: 1 point for each correct product.

\(365\times4=1{,}460\).

\(365\times20=7{,}300\).

\(1460+7300=8760\).

Answer: 8,760

Scoring: 1 point for each partial product, 1 point for the correct sum. Do not give the third point if the placeholder zero is missing.

\(2{,}148\times6=12{,}888\). \(2{,}148\times30=64{,}440\).

\(12888+64440=77328\).

Answer: 77,328

Scoring: 1 point for correct partial products, 1 point for the correct total.

692 rounds to 700 and 41 rounds to 40. \(700\times40=28{,}000\).

28,372 is very close to 28,000, so the answer is reasonable.

Scoring: 1 point for the estimate 28,000, 1 point for a correct conclusion with a reason.

The 5 in 52 means 5 tens, so the second row should be \(36\times50=1{,}800\), not 180. Ethan left out the placeholder zero.

Correct: \(72+1800=1872\).

Answer: 1,872

Scoring: 1 point for the explanation, 1 point for 1,872.

\(40\times30=1{,}200\), \(6\times30=180\), \(40\times8=320\), \(6\times8=48\).

\(1200+180+320+48=1748\).

Answer: 1,748

Scoring: 1 point for the four partial products, 1 point for the total.

(a) \(24\times16=384\) (\(24\times6=144\) and \(24\times10=240\)). 384 players

(b) \(384\times3=1{,}152\). 1,152 baseballs

Scoring: (a) 1 point. (b) 1 point for multiplying 384 by 3, 1 point for the correct answer.

(a) \(125\times4=500\). \(\$500\)

(b) \(86\times3=258\). \(\$258\)

(c) \(500+258=758\). \(\$758\)

Scoring: 1 point for each part. Accept a correct part (c) that follows from a wrong earlier part.

\(507\times2=1{,}014\), but 20 is 2 tens. Multiply by 10 more: \(507\times20=10{,}140\).

Answer: No, the product is 10,140

Scoring: 1 point for “no” with the correct product.