5th Grade Place Value and Powers of Ten Test Solutions and Scoring (PDF)

(a) \(6{,}000\div600=10\). 10 times

(b) \(60\div600=\frac{1}{10}\).\(\frac{1}{10}\)

Scoring: 1 point for each correct answer.

(a) One place right: 38

(b) One place left: 52

Scoring: 1 point for each correct answer.

(a) Two places right: 64

(b) Three places right: 7.1 becomes 7100, 7,100

(c) Two places left: 43

Scoring: 1 point for each correct answer.

(a) 10,000 has 4 zeros: \(10^{4}\)

(b) \(10\times10\times10\): 1,000

Scoring: 1 point for each correct answer.

(a) 2.9 to 2,900 is 3 places right: 3

(b) 8 to 0.08 is 2 places left: 2

Scoring: 1 point for each correct exponent.

Mei added two zeros at the end, which does not change the value. Multiplying by 100 moves the decimal point 2 places right.

\(0.35\times100=35\). Correct product: 35

Scoring: 1 point for explaining the mistake (the point must move right), 1 point for 35.

(a) \(6{,}000\div10^{2}=6{,}000\div100=60\). 60 packs

(b) \(60\div10=6\). 6 crates

Scoring: (a) 1 point. (b) 2 points: 1 for dividing 60 by 10, 1 for the answer 6.

(a) \(1.25\times10=12.5\): \(\$12.50\)

(b) \(1.25\times100=125\): \(\$125\)

(c) \(1.25\times1{,}000=1{,}250\): \(\$1{,}250\)

Scoring: 1 point for each correct amount. Do not penalize a missing dollar sign twice.

The 8 in the tenths place is 0.8. The 8 in the hundredths place is 0.08.

\(0.08\div0.8=\frac{1}{10}\).

Answer: \(\frac{1}{10}\)

Scoring: 1 point for 1/10 (or one tenth).