Vocabulary
What is place value?
The position of the digit; the name of the position of the digit
Continue for three more terms and state the rule: 26, 39, 52,...
65, 78, 91. Rule: add 13
Evaluate: 9 + 7 × 4
37
Estimate 476,382 + 318,765 by rounding each number to the nearest ten thousand. Then find the exact sum.
Estimate: 480,000 + 320,000 = 800,000. Exact: 476,382 + 318,765 = 795,147
In 8,263,491, identify the place and value of the digit 6
The 6 is in the ten-thousands place; its value is 60,000
What is the value of a digit?
The worth of the digit.
Complete the table using the rule "multiply by 3, then add 2"
Input: 2, 4, 6, 8, 10
Output: __, __, __, __, __
8, 14, 20, 26, 32
Evaluate: 54 ÷ 9 + 6 × 4
30
Solve: 800,004 − 357,869
442,135
In, 9,560,237, identify the place and value of the 5.
hundred thousands place and 500,000
What does sum mean?
Answer to an addition problem
Find the rule and the next two terms: 4, 12, 36, 108...
324, 972: rule is multiply by 3
Evaluate: 72 − (20 + 8) ÷ 4
65
Estimate 914,260 − 486,721 by rounding each number to the nearest ten thousand. Then find the exact difference
Estimate: 910,000 − 490,000 = 420,000. Exact: 914,260 − 486,721 = 427,539.
Write 7,406,028 in expanded form.
7,000,000 + 400,000 + 6,000 + 20 + 8.
What does difference mean?
Answer to a subtraction problem
A function table is labeled subtract 9.
Input: 31, 41, 51, 61, 71
Output: 22, 32, 42, 53, 62
Where is the error?
Input 61 Output 53 should be 52
Evaluate: 6 × (17 − 8) + 15
69
A community center had 146,825 books. It purchased 18,475 more books and later donated 7,960 books. How many
books does it have now?
146,825 + 18,475 − 7,960 = 157,340 books
Compare and justify: 7,060,080 ____ 7,006,800.
7,060,080 > 7,006,800. Both have 7 million; compare digits from left to right. At the ten-thousands place, 6 is greater than 0
What does PEMDAS stand for?
Parenthesis, exponents, multiplication, division, addition, subtraction
A school sells 140 tickets each day for a performance. Write a pattern for the total number of tickets sold after 1, 2, 3,
4, and 5 days. State the rule
140, 280, 420, 560, 700. Rule: add 140 each day (or multiply the number of days by 140).
A student solves 35 − 5 × 4 by subtracting first and gets 120. Explain the mistake and give the correct answer.
Multiplication comes before subtraction. Correct: 35 − (5 × 4) = 35 − 20 = 15
A nature center had 1,465,000 visitors last year and 1,592,400 this year. Estimate how many more visitors came this
year by rounding each number to the nearest hundred thousand. Then find the exact difference
Estimate: 1,500,000 − 1,500,000 = 0 using the rounded values; this estimate is not very informative because both values
round to the same hundred thousand. Exact: 1,592,400 − 1,465,000 = 127,400 more visitors
A student says 7,450,000 is less than 7,405,999 because 405,999 is less than 450,000. Explain the error
Compare from the left: both have 7 million; at the hundred-thousands place, 4 is greater than 4? The numbers share 7,4 in
the first two places, so compare the ten-thousands place: 5 in 7,450,000 and 0 in 7,405,999. Therefore 7,450,000 is greater