Question

round decimals to a given place value
to round to a given place value in a decimal, look at the digit to the right
if the digit to the right is. 0 - 4 → round down \0 to 4... do no more!\
5 - 9 → round up \5 to 9... climb the vine!\
examples 34.602 → 35 8.92 → 8.9 16.345 → 16.35
6 (round up) 2 (round down) 5 (round up)
round each decimal below to the underlined place value.
(remember: circle the place value to the right of the underlined digit!)
1 4.829 2 67.815 3 242 4 5.3486
5 3.525 6 54.73 7 18.078 8 134.97
9 2.984 10 9.64 11 32.1659 12 8.267
round each decimal below to the given place value.
13 round 6.904 to the nearest tenth.
nearest hundredth
14 round 23.56 to the nearest whole
nearest tenth.
15 round 8.1534 to the nearest hundredth
nearest thousandth.
16 round 2.047 to the nearest whole
nearest hundredth

Explanation:

Step1: Round 4.829 to the underlined place (tenths place)

Look at the digit to the right (hundredths place, which is 2). Since \(2<5\), round down. So \(4.829\approx4.8\)

Step2: Round 67.815 to the underlined place (hundredths place)

Look at the digit to the right (thousandths place, which is 5). Since \(5 = 5\), round up. So \(67.815\approx67.82\)

Step3: Round 242 to the underlined place (tens place)

Look at the digit to the right (units place, which is 2). Since \(2<5\), round down. So \(242\approx240\)

Step4: Round 5.3486 to the underlined place (hundredths place)

Look at the digit to the right (thousandths place, which is 8). Since \(8>5\), round up. So \(5.3486\approx5.35\)

Step5: Round 3.525 to the underlined place (units place)

Look at the digit to the right (tenths place, which is 5). Since \(5 = 5\), round up. So \(3.525\approx4\)

Step6: Round 54.73 to the underlined place (tenths place)

Look at the digit to the right (hundredths place, which is 3). Since \(3<5\), round down. So \(54.73\approx54.7\)

Step7: Round 18.078 to the underlined place (hundredths place)

Look at the digit to the right (thousandths place, which is 8). Since \(8>5\), round up. So \(18.078\approx18.08\)

Step8: Round 1.3497 to the underlined place (tenths place)

Look at the digit to the right (hundredths place, which is 4). Since \(4<5\), round down. So \(1.3497\approx1.3\)

Step9: Round 2.984 to the underlined place (units place)

Look at the digit to the right (tenths place, which is 9). Since \(9>5\), round up. So \(2.984\approx3\)

Step10: Round 9.64 to the underlined place (units place)

Look at the digit to the right (tenths place, which is 6). Since \(6>5\), round up. So \(9.64\approx10\)

Step11: Round 32.1659 to the underlined place (hundredths place)

Look at the digit to the right (thousandths place, which is 5). Since \(5 = 5\), round up. So \(32.1659\approx32.17\)

Step12: Round 8.267 to the underlined place (tenths place)

Look at the digit to the right (hundredths place, which is 6). Since \(6>5\), round up. So \(8.267\approx8.3\)

Step13: Round 6.904 to the nearest tenth

Look at the digit in the hundredths place (0). Since \(0<5\), round down. So \(6.904\approx6.9\)
Round 6.904 to the nearest hundredth
Look at the digit in the thousandths place (4). Since \(4<5\), round down. So \(6.904\approx6.90\)

Step14: Round 23.56 to the nearest whole number

Look at the digit in the tenths place (5). Since \(5 = 5\), round up. So \(23.56\approx24\)
Round 23.56 to the nearest tenth
Look at the digit in the hundredths place (6). Since \(6>5\), round up. So \(23.56\approx23.6\)

Step15: Round 8.1534 to the nearest hundredth

Look at the digit in the thousandths place (3). Since \(3<5\), round down. So \(8.1534\approx8.15\)
Round 8.1534 to the nearest thousandth
Look at the digit in the ten - thousandths place (4). Since \(4<5\), round down. So \(8.1534\approx8.153\)

Step16: Round 2.047 to the nearest whole number

Look at the digit in the tenths place (0). Since \(0<5\), round down. So \(2.047\approx2\)
Round 2.047 to the nearest hundredth
Look at the digit in the thousandths place (7). Since \(7>5\), round up. So \(2.047\approx2.05\)

Answer:

1. \(4.8\)
2. \(67.82\)
3. \(240\)
4. \(5.35\)
5. \(4\)
6. \(54.7\)
7. \(18.08\)
8. \(1.3\)
9. \(3\)
10. \(10\)
11. \(32.17\)
12. \(8.3\)
13. \(6.9\), \(6.90\)
14. \(24\), \(23.6\)
15. \(8.15\), \(8.153\)
16. \(2\), \(2.05\)