Decimal Place Value Study Guide

1. This chart shows the height in inches of 5 students. Use the chart to answer the questions below.Part A: List the students in order, from tallest to shortest. 58.26 (tallest)58.258.06 57.3056.16 (shortest) Part B: How tall are Amy and Claudia combined? 115.56 in 101.29 in 119.25 in 115.65 in Part C: How much taller is George than Frank? 114.26 in 115.98 in 2.04 in 3.71 in 2. Compare the decimals. Use >, < or = Tip: To help you compare, rewrite each number by adding zeros to the end to make each in the comparison have same place values. = > 3. Use the number line below to answer the following questions.Tip: Each mark between 10 and 11 represents 0.1Part A: What number might the letter A represent on the number line? 10.01 10.1 10.2 10.02 Part B: Which letter would best represent ten and eight tenths? A B C D Part C: Draw a dot at 10.25. Label it E. Part D: Would 9 be on this segment of the number line Yes, it will be before 10. No, because the smallest number on the number line is 10 No, because there is no space. No, because the number line is short. 4. Neatly color in the number given on the grid. Then choose the number correctly written in word form. Tip: Each small square is worth 0.01 (one hundredth). A column of 10 small squares is worth 0.1 (one tenth). A whole square is worth 1 (one whole). a) 1.02 1.02 in word form One and two hundredths 1 and 2 hundredths One and two thousandths One and two hundreds b) .16 .16 in word form six hundredths sixteen hundreds sixteen hundredths sixteen thousandths c) 1.25 1.25 in word form one and two five one and twenty-five hundredths one and twenty-five thousandths one and twenty-five d) .80 .80 in word form eighty thousandths eight hundredths eight tenths eighty tenths 5. Put the following numbers in order from greatest to least: .26.22.269.026.025 Tip: To help you order, rewrite each number by adding zeros to the end to make each number go to the thousandths place. 2 >.269 > .26 > .2 > .026 > .025 6. Add or subtract.Tip: Rewrite each problem lining up the decimal points. Add zeros as place holders so that each numbers goes to the same place value. For the estimate, round to the first digit. See example. A) 312.12 + 15.9 = 31.369 32.802 328.02 31.002 B) 17.68 - 8.79 = 8.89 88.8 10.558 9.78 C) 23.45 + 41.45 = 6,490 649.0 6.490 64.90 D) 18 - 4.67 = 485 13.33 4.49 14.87 7. Round each decimal to the underlined place value. 6.7 150.2 18.35 56.1 8. Compare the values of each of the digits. a) In 89,933.219 the 3 in the ones place is 1 times the value of the 3 in the tens place.b) In 595.1 the 5 in the ones place is 1 times the value of the 5 in the hundreds place.c) In 5,934,193.165 the 1 in the hundreds place is 1000 times the value of the 1 in the tenths place.d) In 231.13 the 1 in the ones place is 10 times the value of the 1 in the tenths place. 9. On the number line below, illustrate why 1.57 rounded to the nearest tenth rounds to 1.6 instead of 1.5. You must include the baseline numbers of 1.5 and 1.6 on the number line and what number is halfway between 1.5 and 1.6. Place an X on a dot showing the approximate location of 1.57. 10. If this block is 1 whole, select the correct model for the following numbers. a) 2.34 b) 1.6 a 11. Choose the standard form for each expanded form numbers.A: 634.2 634.02 634.002 634,200 B: 723.49 7,349 72.340 72.349 12. Choose the expanded form of each standard form numbers using the same format as above.A) 50.234 B) 236.19 13. The lengths of four snakes, are shown in the chart. A) Which snake is the longest? Snake A Snake B Snake C Snake D B) Which snake is the shortest? Snake A Snake B Snake C Snake D C) A 5th snake is longer than the shortest one from the chart, but not as long as the longest snake. What could be the length of the 5th snake? 11.232 11.321 12.69 12.12 D) Round each value in the chart to the nearest hundredth. 12.321 12.32 11.339 11.34 12.651 12.65 12.335 12.34 E) Mom said that if all 4 snakes were placed end to end they would be more than 49 inches in length. Is Mom correct? Yes, because they equal up to 49.123 No, because they equal up to 48.646 No, because they equal up to 54.210 No, because they equal up to 49.815 F) Look at the length of snake B: 11.339 inches. How does the value of the 3 change as it moves one place to the left (for example 3 hundredths to 3 tenths)? The 3 in the tenths place is 10 times the value of the 3 in the hundredths place. The 3 in the tenths place is 1 times the value of the 3 in the hundredths place.