Answer :
Let's look at each part of the question step-by-step:
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.