General
True or False:
Decimal numbers are numbers between natural numbers.
True!
What is forty-five thousand seven hundred twelve in standard form?
45,712
What is 134.2 in written form?
one hundred thirty-four and two tenths
2.56
Represent 0.75 on a hundreds chart two different ways.
You can color:
- 7 columns and 5 unit squares
- 7 rows and 5 unit squares
- split the hundreds chart into quarters. Color three quarters
What is 981,304 in expanded form?
900,000 + 80,000 + 1,000 + 300 + 4
Represent 0.51 on a hundreds chart.
51 unit squares should be shaded/colored.
Order the following numbers from greatest to least.
1.78, 1.28, 1.82, 1.87
1.87, 1.82, 1.78, 1.28
Diego has 2 dimes, 1 nickel, 2 loonies and 2 quarters. How much money does he have? Write your answer as cents and in dollar form.
Cents: 271 c
Dollar: $ 2.71
Write 692,681 in written form.
six hundred ninety-two thousand six hundred eighty-one
Round 13.6 to the nearest whole number (one).
13
Write 2 numbers that round to 5.25.
5.251, 5.252, 5.253, 5.254
Emi and Erika were making a square cake.
Emi says she plans on eating 1/4 of the cake.
Erika says she will eat 0.40 of the cake.
Emi says this is not fair because Erika will eat more of the cake. Erika says they will both eat the same amount.
Who is correct? Explain how you know.
Emi is correct. 1/4 as a decimal is 0.25. 0.25 is less than 0.40.
Compare using the < , > or = symbols. Explain how you know using place value.
45, 134 _____ 45, 143
45, 134 < 45, 143
45, 143 has a 4 in the tens place and 45, 134 has a 3 in the tens place. 4 is greater than 3, so 45, 143 is the greater number.
21.7, 21.4, 21.8
21.4, 21.7, 21.8
Amy wrote the fractions 4/10 and 40/100 as decimals. She then said that 40/100 is greater than 4/10. Is she correct? Explain your answer.
No she is not correct. 4/10 is 0.4 and 40/100 is 0.40. Both fractions show the same number.
You can also tell by representing each fraction on a hundreds chart. For 4/10, you color 4 columns/rows. For 40/100, you color 40 unit squares. Both give you the same value.
Label the approximate positions of 1.48 and 2.21 on the number line.
<_______________________________________>
1 1.5 2 2.5 3
<______*_________________*______________>
1 1.5 2 2.5 3
Round $ 210, 541 to the nearest thousand. Explain your strategy.
There is a 0 in the thousands place. I look to the next place value on the right (hundreds) and there is a 5. If the digit is 5 or more, I round up. The thousands place will then have a digit of 1.
Show $ 1.4 as:
a) a fraction
b) on the hundreds chart
c) as a cent value
a) 1 4/10
b) Shade/color one whole hundred chart and 40 unit squares of another hundred chart
c) 140 cents ( $1 = 100 cents, add 40 cents, total is $140)
Write two possible decimals between 3.4 and 3.5.
3.41, 3.42, 3.43, 3.44, 3.45, 3.46, 3.47, 3.48, 3.49