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Question
for the next warm-up, use rounding to estimate each sum. which whole number is the best estimate for 5.05 + 0.85? 4 5 6 7
Step1: Round each number
Round \( 5.05 \) to the nearest whole number: \( 5.05 \approx 5 \) (since the decimal part \( 0.05 < 0.5 \), we round down to 5? Wait, no, actually, when estimating sums, sometimes we can also look at the decimal part for each number. Wait, \( 5.05 \) is close to 5, and \( 0.85 \) is close to 1. Wait, maybe a better way: first, round each addend to the nearest whole number. \( 5.05 \) rounded to the nearest whole number is 5 (because the tenths place is 0, which is less than 5, so we keep the whole number part as 5). \( 0.85 \) rounded to the nearest whole number is 1 (because the tenths place is 8, which is more than 5, so we round up to 1). Then, add the rounded numbers: \( 5 + 1 = 6 \). Alternatively, we can calculate the actual sum first: \( 5.05 + 0.85 = 5.9 \), and 5.9 is closest to 6 as a whole number.
Step2: Determine the best estimate
The actual sum is \( 5.05 + 0.85 = 5.9 \), which is very close to 6. So the best whole number estimate is 6.
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