Number Forms
Write the standard form for the following:
4 tenths, 3 hundreds, 1 one, 6 thousandths
301.406
Write the expanded form for the number 745.28.
700 + 40 + 5 + 0.2 + 0.08
Explain what happens to each digit when you multiply a number by 10. Provide an example to support your answer.
When you multiply by 10, each digit shifts one place to the left.
Examples will vary.
Explain what happens to each digit when you divide a number by 10. Provide an example to support your answer.
When you divide by 10, each digit shifts one place to the right.
Examples will vary.
Put the numbers below in order from greatest to least.
43.683 43.9 43.866 43.275
43.9, 43.866, 43.683, 43.275
Write the word form for the following number:
8,732.46
Eight thousand, seven hundred thirty-two and forty six hundredths.
Write the decimal expanded form for the number 58.321.
(5 x 10) + (8 x 1) + (3 x 0.1) + (2 x 0.01) + (1 x 0.001)
Explain what happens to each digit when you multiply a number by 100. Provide an example to support your answer.
When you multiply by 100, each digit shifts two places to the left.
Examples will vary.
Explain what happens to each digit when you divide a number by 100. Provide an example to support your answer.
When you divide by 100, each digit shifts two places to the right.
Examples will vary.
In the number 554.3 how does the value of the 5 in the hundreds place compare to the value of the 5 in the tens place?
The value of the 5 in the hundreds place is 10 times greater than the value of the 5 in the tens place or the value of the 5 in the tens place is 10 times smaller than the value of the 5 in the hundreds place.
Write the standard form for the following number:
five hundred seven and thirty-four thousandths
507.034
Write the following number in fraction expanded form 449.53.
(4 x 100) + (4 x 10) + (9 x 1) + (5 x 1/10) + (3 x 1/100)
Explain what happens to each digit when you multiply a number by 1000. Provide an example to support your answer.
When you multiply by 1000, each digit shifts to the left three places.
Examples will vary.
Explain what happens to each digit when you divide a number by 1000. Provide an example to support your answer.
When you divide by 1000, each digit shifts three places to the right.
Examples will vary.
Compare the value of the 3s in the number below:
23.834
The value of the 3 in the ones place is 100 times greater than the value of the 3 in the hundredths place.
Write the word form for the following number:
0.098
ninety-eight thousandths
Write the following decimal expanded form in standard form:
(7 x 10) + (2 x 1) + (5 x 0.01) + (4 x 0.001)
72.054
Mrs. Turlington said multiplying 43.25 x 10 would equal 4,325. Is she correct? Why or why not?
She is not correct because when multiplying by 10 each digit should move to the left one place but if she got 4,325 then she moved each digit two places.
Ms. Rupkalvis said dividing 82.1 by 100 would equal 0.821. Is she correct? Why or why not?
She is correct because when you divide by 100 each digit shifts to the right two places and that is what Ms. Rupkalvis did.
Compare the values of the 4s in the number below:
644.72
The value of the 4 in the tens place is 10 times greater than the value of the 4 in the ones place.
Write the word form for the following number:
10.08
ten and eight hundredths
Write the following number in decimal expanded form:
634.06
(6 x 100) + (3 x 10) + (4 x 1) + (6 x 0.01)
Ms. Mahoney said multiplying 0.076 x 1,000 would equal 76. Is she correct? Why or why not?
She is correct because when you multiply by 1,000 each digit shifts to the left three places and that is what Ms. Mahoney did.
Mr. Page said that dividing 42 by 10 is the same as multiplying 42 x 1/10. Prove whether or not he is correct.
42 divided by 10 is the same as multiply 42 x 1/10.
Student work will vary.
Compare the value of the 7s in the number below:
470.873
The value of the 7 in the tens place is 1,000 times greater than the value of the 7 in the hundredths place.