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Round a whole number to any place, by systematically applying familiar skills rather than an algorithm. Rename hundreds as tens and hundreds as tens and ones. Use an open number line and bar model to understand that rounding means finding a simpler, shorter, or more convenient number that a particular number is closest to.
Think flexibly about hundreds. How many tens in 123? Since 1 hundred = 10 tens, there are (10+2) tens = 12 tens in 123. How many tens in 267? Since 2 hundred is (2 groups of 10) tens = 20 tens, there are (20+6) tens = 26 tens in 267. How many tens in 389? Using mental math, 3 hundreds in 30 tens, so there are 38 tens.
Prerequisites: 3-10 ○ 3-1
Use an open number line and bar model to determine if a number is closer to the number of tens it has, or 1 more ten. What's 23 rounded to the nearest ten? The nearest multiples of ten are 20 and 30 – 2 tens and 3 tens. Halfway between 20 and 30 is 25. Since 23 is less than 25, it's closer to 2 tens. Round down to 20.
Prerequisites: 3-22
Generalize by determining if a 3-digit number is closer to the number of tens it has, or 1 more ten. What's 286 rounded to the nearest ten? The nearest multiples of ten are 280 and 290 – 28 tens and 29 tens. Halfway between 280 and 290 is 285. 286 is greater than 285, so it's closer to 29 tens. Round up to 290.
Prerequisites: 3-23
