Patterns with Exponents and Powers of 10
Find the product:
1000 x 4 =
4000
Complete the place-value chart for the following number.
5.789
ones tenths thousandths hundredths
5 . 7 8 9
Write the decimal as a fraction.
0.008
8/1000
Compare the two numbers. Use greater than, less than, or equals for the blank.
0.430 ___ 0.43
0.430 = 0.43
Round the decimal to the nearest whole number.
5.8
6
Write 10 x 10 x 10 x 10 x 10 x 10 with an exponent.
106
Write the number in standard form.
2 + 0.4 + 0.06 + 0.002
2.462
Write the fraction as a decimal.
3/100
0.03
Compare the two numbers. Use less than, greater than, or equals for the blank.
3.973 ___ 3.865
3.973 > 3.865
Round the decimal to the nearest whole number.
40.83
41
Write 5 x 10 x 10 x 10 x 10 with an exponent
7 x 104
Write two decimals that are equivalent to the given decimal.
6.400
6.4
6.40
John is making beef stew. The recipe calls for 0.495 kilogram of beef. Write
0.495 as a fraction.
495/1000
Put these three numbers in order, least to greatest.
34.503, 35.01, 34.522
34.503
34.522
35.01
Round the number to the place of the underlined digit.
654.33
654.3 or 654.30
Find each product:
9 x 101 =
9 x 102 =
9 x 103 =
9 x 104 =
90
900
9000
90000
Write 752.467 in expanded form.
(7 x 100) + (5 x 10) + (2 x 1) + (4 x 1/10) + (6 x 1/100) + (7 x 1/1000)
Is 0.2 greater than or less than 4/10?
0.2 is less than 4/10.
Round the number to the place of the underlined digit.
24.855
24.860 or 24.86
Frank said that 8 x 104 is 320. Do you agree or disagree? If you disagree, explain the mistake that he made and find the correct answer.
I disagree. Frank multiplied 8 by 10 by the exponent 4 to get 320 rather than multiplying 8 by (10 x 10 x 10 x10).
The correct answer is 80000
Don says that in the number 5,555,555, all the digits have the same value.
a. Is Don correct? Explain.
b. Describe the relationship between the values of the digits in the number.
a. No, Don is incorrect. Although the digits are all the same, each digit has a different value.
b. Each digit has a value 10 times the value of the digit to its right and
one tenth 1/10 of the value of the digit to its left.
Maria weighed 2.46 pounds of kiwis at the grocery store. Which numbers make the statement true?
___ > 2.46
a. 2.4 b. 2.48 c. 2.56 d. 2.45 e. 2.36
b. 2.48
c. 2.56
The students in Mr. Lu's class measure the length of four ants. The students round the lengths to the nearest tenth. Whose ant has a length that rounds to 0.6 inch? 0.9 inch?
Larry: 0.938 inch Jeffrey: 0.55 inch Angela: 0.65 inch Melissa: 0.844 inch
The length of Jeffrey's ant rounds to 0.6 inch. Larry's ant rounds to 0.9 inch.