When we work with decimals, we learn that the place value chart expands to the right of the ones’ place. Additionally, we learn how to round decimals. The process is the same as with whole numbers with one slight variation. Lastly, we will also learn how to compare the size of two or more decimals.
Test Objectives:•Demonstrate the ability to state the place value for each digit in a number
•Demonstrate the ability to determine which decimal is larger/smaller
•Demonstrate the ability to round decimals
Comparing & Rounding Decimals Test:
#1:
Instructions: State the place value of each digit in the number.
a) 0.397
b) 1.1534
c) 0.658513
#2:
Instructions: Replace each ? with <, >, or =.
a) 0.3915 ? 0.3859
b) 0.22513 ? 0.22315
c) 0.87015 ? 0.871
#3:
Instructions: Replace each ? with <, >, or =.
a) 4.65153 ? 4.67153
b) 3.213 ? 3.2130
c) 15.9175 ? 15.91753
#4:
Instructions: Round each to the nearest tenth and hundredth.
a) 6.2515
b) 3.91752
#5:
Instructions: Round each to the nearest thousandth and ten thousandth.
a) 0.62175
b) 15.7200519
Written Solutions:
Solution:
a) 3 - tenths, 9 - hundredths, 7 - thousandths
b) 1 - ones, 1 - tenths, 5 - hundredths, 3 - thousandths, 4 - ten-thousandths
c) 6 - tenths, 5 - hundredths, 8 - thousandths, 5 - ten-thousandths, 1 - hundred-thousandths, 3 - millionths
Solution:
a) 0.3915 > 0.3859
b) 0.22513 > 0.22315
c) 0.87015 < 0.871
Solution:
a) 4.65153 < 4.67153
b) 3.213 = 3.2130
c) 15.9175 < 15.91753
Solution:
a) round to the nearest tenth - 6.3, round to the nearest hundredth - 6.25
b) round to the nearest tenth - 3.9, round to the nearest hundredth - 3.92
Solution:
a) round to the nearest thousandth - 0.622, round to the nearest ten-thousandth - 0.6218
b) round to the nearest thousandth - 15.72, round to the nearest ten-thousandth - 15.7201