Subjects arithmetic

Rounding Decimals

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Rounding Decimals


1. The problem asks to round decimal numbers to the nearest tenth and draw lines showing the rounding. - 8.52 rounds to 8.5 because the hundredths digit (2) is less than 5. - 8.5 rounds to 8.5 exactly since it is already at the tenth. - 8.77 rounds to 8.8 because the hundredths digit (7) is greater than or equal to 5. - 8.35 rounds to 8.4 because the hundredths digit (5) is exactly 5, so we round up. 2. Next, we identify numbers that round to 10 when rounded to the nearest whole number. - 10.53 rounds to 11 (since .53 ≥ .5), so not 10. - 10.5 rounds to 11, so not 10. - 10.35 rounds to 10 (since .35 < .5), so circle 10.35. - 9.55 rounds to 10 (since .55 ≥ .5), so circle 9.55. - 10.05 rounds to 10 (since .05 < .5), so circle 10.05. - 9.5 rounds to 10 (since .5 ≥ .5), so circle 9.5. - 9.05 rounds to 9 (since .05 < .5), so not 10. - 9.35 rounds to 9 (since .35 < .5), so not 10. 3. a) Round 7.852 to the nearest tenth. - Look at the hundredths digit: 5. - Since it is 5 or more, round the tenths digit up from 8 to 9. - So, 7.852 rounds to 7.9. b) Round 7.852 to the nearest hundredth. - Look at the thousandths digit: 2. - Since it is less than 5, keep the hundredths digit as is. - So, 7.852 rounds to 7.85. Final answers: - 7.852 rounded to the nearest tenth is $7.9$. - 7.852 rounded to the nearest hundredth is $7.85$.