1. Fill up the boxes with >, <, and =.

a. 9.324 .9324

b. 0.58 580

c. 143.09 14.309

d. 0.546 .5460

e. 99.9 9.99

f. 0.0087 .87

g. 57.623 57.6230

h. 37.54 37.0054

2. Do the following simple multiplications and divisions by shifting the decimal points.

a. 5.5 x 100 =

i. 238 ÷ 100 =

b. 55.5 x 1000 =

j. 67.99 ÷ 10 =

c. 0.55 x 10000 =

k. 531.11 ÷ 100 =

d. 5.5 x 10 =

l. 101.63 ÷ 100 =

e. 0.55 x 100 =

m. 54.856 ÷ 1000 =

f. 0.0055 x 100 =

n. 476.08 ÷ 100 =

g. 0.055 x 10 =

o. 0.029 ÷ 10 =

h. 5.055 x 100 =

p. 0.587 ÷ 100 =

3. Write in decimal form. One has been done for you.

a. 6 hundreds + 5 tens + 3 ones + 2 hundredths + 5 tenths + 0 ones = 651.250

b. 9 hundreds + 5 tens + 7 thousandths + 6 hundredths + 2 tenths =

c. 8 hundreds + 3 tens + 2 hundredths + 5 tenths + 1 ones =

d. 5 thousands + 4 tens + 9 ones + 8 hundredths + 7 ones =

e. 1 hundred + 3 ones + 9 tenths =

f. 4 hundreds + 7 tens + 2 hundredths + 5 tenths + 2 ones =

Comparing Numbers
a. [tex]9.324 > 0.9324[/tex] because 9.324 has a greater whole number (9) compared to 0.9324.
b. [tex]0.58 < 580[/tex] because 580 is much larger than 0.58.
c. [tex]143.09 > 14.309[/tex] because 143.09 has a greater whole number (143) compared to 14.309.
d. [tex]0.546 = 0.5460[/tex] because adding a zero at the end does not change the value of the decimal number.
e. [tex]99.9 > 9.99[/tex] because 99.9 has a greater whole number part (99) compared to 9.99.
f. [tex]0.0087 < 0.87[/tex] because 0.87 is much larger than 0.0087.
g. [tex]57.623 = 57.6230[/tex] because adding a zero at the end does not change the value of the decimal number.
h. [tex]37.54 > 37.00542[/tex] because 54 hundredths is greater than 00542 ten thousandths when both share the same whole part.
Multiplications and Divisions by Shifting the Decimal Point
a. [tex]5.5 \times 100 = 550[/tex] because moving the decimal two places to the right converts it to 550.
i. [tex]238 \div 100 = 2.38[/tex] because moving the decimal two places to the left converts it to 2.38.
b. [tex]55.5 \times 1000 = 55500[/tex] by moving the decimal three places to the right.
j. [tex]67.99 \div 10 = 6.799[/tex] because moving the decimal one place to the left converts it to 6.799.
c. [tex]0.55 \times 10000 = 5500[/tex] by moving the decimal four places to the right.
k. [tex]531.11 \div 100 = 5.3111[/tex] because moving the decimal two places to the left converts it to 5.3111.
d. [tex]5.5 \times 10 = 55[/tex] by moving the decimal one place to the right.
l. [tex]101.63 \div 100 = 1.0163[/tex] by moving the decimal two places to the left.
e. [tex]0.55 \times 100 = 55[/tex] by moving the decimal two places to the right.
m. [tex]54.856 \div 1000 = 0.054856[/tex] by moving the decimal three places to the left.
f. [tex]0.0055 \times 100 = 0.55[/tex] by moving the decimal two places to the right.
n. [tex]476.08 \div 100 = 4.7608[/tex] by moving the decimal two places to the left.
g. [tex]0.055 \times 10 = 0.55[/tex] by moving the decimal one place to the right.
o. [tex]0.029 \div 10 = 0.0029[/tex] by moving the decimal one place to the left.
h. [tex]5.055 \times 100 = 505.5[/tex] by moving the decimal two places to the right.
p. [tex]0.587 \div 100 = 0.00587[/tex] by moving the decimal two places to the left.
Writing in Decimal Form
a. Already done: [tex]651.250[/tex]
b. [tex]9[/tex] hundreds + [tex]5[/tex] tens + [tex]7[/tex] thousandths + [tex]6[/tex] hundredths + [tex]2[/tex] tenths = [tex]950.267[/tex]
c. [tex]8[/tex] hundreds + [tex]3[/tex] tens + [tex]2[/tex] hundredths + [tex]5[/tex] tenths + [tex]1[/tex] ones = [tex]831.52[/tex]
d. [tex]5[/tex] thousands + [tex]4[/tex] tens + [tex]9[/tex] ones + [tex]8[/tex] hundredths + [tex]7[/tex] ones = [tex]5049.87[/tex]
e. [tex]1[/tex] hundred + [tex]3[/tex] ones + [tex]9[/tex] tenths = [tex]103.9[/tex]
f. [tex]4[/tex] hundreds + [tex]7[/tex] tens + [tex]2[/tex] hundredths + [tex]5[/tex] tenths + [tex]2[/tex] ones = [tex]472.52[/tex]

I hope this helps! If you have any more questions, feel free to ask.