4th Grade Place Value to One Million Test Solutions and Scoring (PDF)

1. The 3 is in the ten thousands place: \(3 \times 10{,}000 = 30{,}000\).
2. The 7 is in the hundred thousands place.

Scoring: 1 point for 30,000. 1 point for hundred thousands.

1. \(9{,}000 \times 10 = 90{,}000\). 90,000
2. \(900 \div 10 = 90\). 90

Scoring: 1 point for each correct answer.

1. \(70{,}000 + 400 + 9\) (the thousands and tens places are 0).
2. 6 hundred thousands, 2 ten thousands, 5 thousands, 0 hundreds, 0 tens, 8 ones: 625,008.

Scoring: 1 point for each correct form. Do not give the point if a zero term is written or a zero place is missing.

1. four hundred five thousand, thirty
2. 70 thousand and 902 gives 70,902.

Scoring: 1 point for each correct answer. Accept correct spelling only.

1. \(38{,}917 < 38{,}971\) (tens: 1 < 7)
2. \(250{,}000 > 25{,}000\) (six digits against five digits)
3. \(604{,}102 = 604{,}102\)
4. \(99{,}099 < 99{,}909\) (hundreds: 0 < 9)

Scoring: half a point for each correct symbol.

\(471,035\) has 7 in the ten thousands place, so it is greatest. \(407,531\) has 0 there, so it is least.

Compare \(417,305\) and \(417,035\): hundreds 3 and 0.

\(471,035\), \(417,305\), \(417,035\), \(407,531\)

Scoring: 2 points for the correct order. 1 point if only one pair is swapped.

1. Each tick is 10,000. Point A is halfway between 30,000 and 40,000: 35,000.
2. Point B is on the 80,000 tick: 80,000.
3. \(35{,}000 < 80{,}000\), so A < B.

Scoring: 1 point for each part.

1. First 8: \(800{,}000\). Second 8: \(80{,}000\).
2. \(800{,}000 \div 80{,}000 = 10\), so 10 times as much.
3. The two 8s sit in different places. A digit one place to the left is worth ten times as much, so the digits have different values.

Scoring: 1 point for each part. Part c needs a mention of different places or ten times.

Word form: one hundred fifty-two thousand, eight hundred forty.

One tenth: \(152{,}840 \div 10 = 15{,}284\).

15,284

Scoring: 1 point for word form. 1 point for 15,284.