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Round decimal numbers to the nearest one, tenth, or hundredth, using open number lines. Find the closest round number lower than a number, and higher than the number, then use the midpoint as a benchmark to decide whether to round up or down.
Think flexibly about place value. How many thousandths in .057? There's a 7 in the thousandths place, but 5/100 = 50/1,000, so .057 = 50/1,000 + 7/1,000 = 57/1,000. How many thousandths in .157? Since 1/10 = 100/1,000, .157 = 100/1,000 + 57/1,000 = 157/1,000. Practice grouping more than 1 place value at a time.
Prerequisites: 5-91
Find the midpoint between 2 adjacent tenths or hundredths. What number is halfway between .1 and .2? The distance between .1 and .2 is .2-.1 = .1. 1 tenth doesn't divide easily by 2, but 1 tenth is 10 hundredths and half is 5 hundredths or .05. The midpoint between .1 and .2 is .1 + .05 = .15. It's also .2 – .05 = .15.
Prerequisites: 5-93 ○ 4-27
On an open number line, round tenths to the nearest whole number. Is 5.2 closer to 5 or to 6 – the number of ones it has or to 1 more – the next largest whole number? Compare 5.2 to the benchmark number 5.5, halfway in-between 5 and 6. Since 5.2 < 5.5, it's closer to 5. Round down to the nearest whole number, 5.
Prerequisites: 5-94 ○ 4-27, 4-89
