Place Value and Rounding: math test solutions, Grade 4 – download the PDF

1 Place value / 4 pts

1. The 6 is in the hundred thousands place: \(600{,}000\). (1 pt)
2. The 4 is in the thousands place: \(4{,}000\). (1 pt)
3. \(604{,}372 = 600{,}000 + 4{,}000 + 300 + 70 + 2\). (1 pt)
4. six hundred four thousand, three hundred seventy-two. (1 pt)

2 Standard form / 3 pts

1. \(290{,}041\) (1 pt)
2. \(85{,}006\) (1 pt)
3. \(410{,}300\) (1 pt)

3 Compare and order / 4 pts

(a) (i) The tens digits differ: 0 is less than 8, so \(52{,}408 \lt 52{,}480\). (1 pt) (ii) \(100{,}000\) has six digits and \(99{,}999\) has five, so \(100{,}000 \gt 99{,}999\). (1 pt) (iii) \(600{,}000 + 50 = 600{,}050\), and \(600{,}050 \lt 600{,}500\). (1 pt)

(b) \(37{,}280 \lt 37{,}820 \lt 38{,}702 \lt 38{,}720\). (1 pt)

4 Ten times as much / 3 pts

(a) \(10 \times 6{,}000 = 60{,}000\). (1 pt)

(b) \(900{,}000 = 10 \times 90{,}000\), so the blank is \(90{,}000\). (1 pt)

(c) The left 4 is worth \(40{,}000\) and the right 4 is worth \(4{,}000\), so it is worth 10 times as much. (1 pt)

5 Rounding / 4 pts

1. The ones digit is 7, so round up: \(8{,}150\). (1 pt)
2. The tens digit is 6, so round up: \(25{,}500\). (1 pt)
3. The thousands digit is 3, so round down: \(670{,}000\). (1 pt)
4. The ten thousands digit is 9, so round up: \(400{,}000\). (1 pt)

6 Bottle caps / 2 pts

(a) \(12{,}640 \approx 13{,}000\) and \(15{,}380 \approx 15{,}000\), so the total is about \(28{,}000\). (1 pt)

(b) Yes. \(28{,}020\) is very close to the estimate \(28{,}000\). (1 pt)