Exponents
Write 10 x 10 x 10x 10 x 10 x 10 with an exponent.
106
What is the value of the 2 in 42,678?
20,000
Write 0.09 as a fraction
9/100
Write (8 x 1) + (5 x 1/100) + (9 x 1/1000) in standard form.
8.059
Compare: 7.537 ______ 7.345
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How many zeros are in the standard form of 107? Write this number in standard form.
7 - 10,000,000
What is the place value of the 9 in 9,005,482?
Millions
Write 985/1000 as a decimal.
0.985
Write four hundred twenty-five and fifty-two hundredths in standard form.
425.52
Round 183.92 to the nearest tenth.
183.9
Solve 3 x 103 .
3000
Write 725,840 in expanded form using exponents.
(7 x 105) + ( 2 x104) + (5 x 103) + (8 x 102) + (4 x 101) = 725,840
0.08 is 10 times as great as _____.
0.008
Write 863.241 in expanded form.
(8 x 100) + (6 x 10) + (3 x 1) + (2 x 1/10) + (4 x 1/100) + (1 x 1/1000)
Order the numbers from least to greatest.
9.129, 9.37, 9.3, 9.219
9.129, 9.219, 9.3, 9.37
The exponent tells how many zeros will be in the product. - 800,000
Jenny says that in the number 2,222,222 all the digits have the same value. Is Jenny correct? Explain.
No, each digit to the left is 10 times the value of the digit to the right.
0.07 is 1/10 of ___.
0.7
Sam's baseball batting average is 0.350 and Dean's is 0.305. Dean says they have the same average. Do you agree or disagree? Explain.
Disagree. The 5 in Sam's average is in the hundredths place. Dean has a zero in the hundredths place; 5 > 0. The 5 in his average is in the thousandths place which has a smaller value.
The heights of 3 girls measured 140.0 cm, 140.53 cm, 138.6 cm, and 138.26 cm. Ann is the tallest, Sarah is taller than Jill, but shorter than Mary. Jill is the shortest. What is Mary's height?
Mary 140.0; Ann 104.53, Jill 138.26, Sarah 138.6,
George said that 6 x 103 is 180? Do you agree or disagree? Explain your thinking.
6 x 103 equals 6,000. 103 = 1,000 because the exponent tells how many zeros will be in the answer. When you mulitply 1,000 x 6 it will equal 6,000.
Florida's population in 2010 was 18,801,310. What is the relationship between the zeros in this number? What is this number written in expanded form?
The zero in the ten thousands place is 1000 times greater than the zero on the ones place.
(1 x 107) + (8 x 106) + (8 x 105) + (0 x 104) + (1 x 103) + ( 3 x 102) + ( 1 x 10 1)
Write the fractions 6/10, 6/100, and 6/1000 as a decimal. How are the decimals related?
0.6, 0.06, 0.006; Each decimal is 1/10 of the value of the decimal to its left or 10 greater than the decimal to its right.
Write 45.678 in expanded form, word form, and write an equivalent decimal.
(4 x 10) + (5 x 1) + (6 x 1/10) + (7 x 1/100) + (8 x 1/1000)
forty-five and six hundred seventy-eight thousandths
45.6780
Explain how you round 65.267 to the greatest place value.
The greatest place value is th 6 in the tens place. To round I look at the 5 in the ones place. Since the number is 5 or greater, add 1 to the 6 then fill in the other numbers with zeros. 70.000 or 70.