Number Forms
Comparing and Ordering Decimals
Rounding
10 Times More and 1/10 Of
Multiply with Powers of Ten
100
What is 305.94 in word form?
Three-hundred five and ninety-four hundredths
100
Compare: 23.90 ______ 23.09
23.90 > 23.09
100
Round to the nearest whole number:
43.3
43
100
How many times larger is the 3 in 394 than the 3 in 293?
100 times larger
100
What is 106?
1,000,000
200
Convert this expanded notation into standard form:
(2 x 10) + (4 x 1) + (5 x 1/100)
24.05
200
Which expense costs the least amount of money?
Popcorn. By ordering the decimals, I know that popcorn is the least amount of money.
200
Round to the nearest tenth:
$65.42
$65.40
200
Write a statement to compare the 9 in 29.3 and 23.9
The 9 in 29.3 is ten times larger than the 9 in 23.9
OR
The 9 in 23.9 is 1/10 of the 9 in 29.3
200
How many times do you need to multiply by ten to get from 4.532 to 4532?
1000 times
300
Write 0.981 in expanded notation
(9 x 1/10) + (8 x 1/100) + (1 x 1/1000)
300
Which expense cost the the second least amount of money? Use what you know about place value to explain your reasoning.
Cereal costs the second least amount of money. By ordering the decimals, I know that cereal is the second least amount.
300
Round to the nearest tenth:
$868.53
$868.50
300
Write a statement to compare the two 4's in 439.4.
The 4 in the hundreds place is 1000 larger than the 4 in the tenths place. The 4 in the tenths place is 1/1000 of the 4 in the hundreds place.
300
Mrs. Dent said : 101=10, 102=100, and 103= 1000. Is she right or wrong? Explain how you know.
She is correct. When multiplying with powers of ten, the answer will have the same amount of zeroes as the exponent. So, 103=1,000.
400
Write 124.08 in expanded notation
(1 x 100) + (2 x 10) + (4 x 1) + (8 x 1/100)
400
Catherine built the number 942. If she is allowed to move her numbers around and use a decimal point, what is the smallest number that she could make? Use what you know about place value to determine what Catherine's number would be.
.249 would be the smallest number she could make. I know that 2 is the smallest digit, then 4 is the second smallest digit, and 9 is the largest digit. I know to put my decimal in the beginning to show that the smallest number I could make is a decimal number.
Decimal numbers < whole numbers
400
Round to the nearest hundredth:
32.495
32.50
400
Mrs. Tran and Mrs. Stallings were playing a game and drew cards with digits on them. Mrs. Tran built the number 425 and Mrs. Stallings built the number 254.
Write a statement to compare the value of the 4 in both Mrs. Tran's and Mrs. Stallings' number.
The 4 in Mrs. Tran's number is 100 times larger than the 4 in Mrs. Stallings' number.
OR
The 4 in Mrs. Stallings' number is 1/100 of Mrs. Tran's number 4.
400
Ms. FitzGerald said: 101=10, 102=100, and 104= 1000. Is she right or wrong? Explain how you know.
She is incorrect. When multiplying with powers of ten, the answer will have the same amount of zeroes as the exponent. So, 104=10,000.
500
Write 34.759 in word form and expanded notation.
Thirty-four and seven-hundred fifty-nine thousandths.
(3 x 10) + (4 x 1) + (7 x 1/10) + (5 x 1/100) + (9 x 1/1000)
500
Catherine built the number 302. If she is allowed to move her numbers around and use a decimal point, what is the smallest number that she could make? Use what you know about place value to determine what Catherine's number would be.
.023 would be the smallest number she could make. I know that 0 is the smallest digit, then2 is the second smallest digit, and3 is the largest digit. I know to put my decimal in the beginning to show that the smallest number I could make is a decimal number.
Decimal numbers < whole numbers
500
After rounding to the nearest tenth, which 2 players have the same average? Show your work/explain your thinking.
Wilt Chamberlain and Michael Jordan
500
There are two 3's in the number 230,394. Daisy says the 3 in the ten thousands place is 100 times the value of the 3 in the hundreds place. Catherine says the 3 in the hundreds place is 1/100 of the 3 in the ten thousands place. Is Daisy, Catherine, or both correct? Use what you know about place value to explain your thinking.
The are both correct. When comparing digits and place values, I know that numbers to the left are larger (my number would be a fraction of those numbers) and numbers to the right are smaller (my number would have to be multiplied).
500
Daisy started collecting rocks when she was eight years old. At age nine, she had 4 x 102 rocks. At age eleven, she had 8 x 102 rocks. At age fourteen, she had 16 x 102 rocks. Her goal is to collect 32 x 102 rocks. If she keeps up with the same rate, how old will she be when she has 3200 rocks? Show all work and explain your thinking.
She will be seventeen years old. Her rate doubles every 3 years.