Fractions=Decimals
What is the fraction equivalent of .01?
1/100
How do you properly say .8?
(Word/written form)
Eight Tenths
Which is greater? Prove it.
.1 or .01000
.1
1/10 is bigger than 1/100. There are 10/100 in 1/10
Write in standard notation
(9 x .1) + (2 x .01)
.92
Round 3.9 to the nearest whole number.
4
What is the decimal equivalent of 23/100?
.23
Write in decimal form:
One hundred sixteen thousandths
.116
Which is greater? Prove it.
.79394 or .8
.8
Looking at the tenths place, the first number has seven tenths and the other has eight tenths. 8/10 is more than 7/10. What is in the other decimal places doesn't matter because they are smaller.
Write .75 in expanded notation
(7 x .1) + (5 x .01)
Round 16.25 to the nearest whole number.
16
What is the decimal equivalent of 1/2? EXPLAIN WHY! PROVE IT!
.5 because 1/2=5/10
How do you properly read 1.3?
(Written/word form)
One and three tenths
My friend and I are meeting for dinner at the Cheesecake Factory. My house is 1.3 miles away from the restaurant. My friend's house is 1.225 miles away.
Who's house is closer to the Cheesecake Factory? Explain how you know.
My friends house is closer.
Since we are both a little over one mile away, I need to compare the decimals. 225/1000 is less than 3/10, which is equal to 300/1000. I could also look at just the tenths place and see that 2 tenths is less than 3 tenths, so she doesn't have as far to go.
Write in standard notation
(4 x 1) + (5 x .01) + (2 x .001)
4.052
Round .59 to the nearest tenth
.6
4 45/1000
Write in decimal form:
Thirty-two and eighty-four hundredths
32.84
At the swim meet, three fifth graders were competing in the 50 m free style. The results are below:
Mario: 2.15 minutes
Luigi: 2.1 minutes
Peach: 1.875 minutes
Who came in first, second and third? Explain.
1. Peach
2. Luigi
3. Mario
Peach swam fastest because she was in the one minute range while the others took two minutes or more. Comparing, Mario and Luigi, they both have 1 tenth of a second. Moving to hundredths, Luigi had 0 hundredths while Mario had 5. So, Mario's time is greater, which means he came in last.
Write 13.49 in expanded notation.
(1 x 10) + (3 x 1) + (4 x 1/10) + (9 x 1/100)
Round 3.481 to the nearest tenth
3.5
What is the decimal equivalent of 12 9/100?
12.09
How do you properly read:
One hundred thirty-two and five hundred sixty-seven ten-thousandths
132.0567
At the deli counter, my dad bought:
1.33 lbs turkey
.75 lbs of ham
.9 lbs of roast beef
1.5 lbs of American cheese
.452 lbs of Swiss cheese
Put these items in order from least to greatest.
Ham
Roast Beef
Turkey
American Cheese
Write 3,076.509 in expanded notation.
(3 x 1000) + (7 x 10) + (6 x 1) + (5 x .1) + (9 x .001)
Round 19.608 to the nearest hundredth
19.61