Standard Algorithim
Powers of 10
Estimates
Word Problems
Word Problems
100
302 x 7 =
2,114
100
52 x 102=
5,200
100
47 × 63 ≈ ?
A) 2,000
B) 2,500
C) 3,000
D) 3,500
3,000
100
A school is ordering 125 boxes of pencils. Each box contains 6 pencils. How many pencils will the school receive altogether?
750 pencils
100
An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for chairs?
$6,970
200
32 x 24=
768
200
Choose all the expressions that are equal to 6 × 105
A) 60 × 1,000
B) 60 × 10,000
C) 600 × 1,000
D) 6,000 × 1,000
E) 6,000 × 100
B) 60 × 10,000
C) 600 × 1,000
E) 6,000 × 100
200
What is the best estimate for the product?
347 × 62 ≈ ?
A) 18,000
B) 21,000
C) 24,000
D) 28,000
21,000
200
A school is ordering 24 boxes of pencils. Each box contains 36 pencils. How many pencils will the school receive altogether?
864 pencils
200
An airline has 47 planes that can each carry 108 passengers.
How many passengers can all of the planes carry?
5,076 passengers.
300
57 x 79=
4,503
300
34 X 100 =
34 x 100=
34 x 103=
34 x 101=
34
3,400
34,000
340
300
An elementary school is ordering 247 boxes of crayons. Each box contains 18 crayons.
Part A
Which equation represents the best estimate of the total number of crayons the school is ordering?
A) 200 × 20 = 4,000
B) 250 × 20 = 5,000
C) 250 × 10 = 2,500
D) 300 × 20 = 6,000
B) 250 × 20 = 5,000
300
A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
How many light bulbs does the store order?
3,256 light bulbs
300
An apartment building has 24 apartments. The floor area of each apartment is 782 square feet. Ming wants to know the area of all the apartments. Here is Ming’s work. What is the missing number? Enter your answer in the box.
6
400
305 x 46
14,030
400
47 × 10³ = 47,000
A) The equation is incorrect. The product should have 2 zeros.
B) The equation is incorrect. The product should have 3 zeros.
C) The equation is incorrect. The product should have 4 zeros.
D) The equation is correct.
D) The equation is correct.
400
An online book store has 182 boxes of books in its warehouse. Each box has 32 books.
Part A
Which equation represents the best estimate of the total number of books in the warehouse?
A) 180 × 30 = 5,400
B) 180 × 40 = 7,200
C) 190 × 40 = 7,600
D) 200 × 40 = 8,000
A) 180 × 30 = 5,400
400
A campground rents canoes for $36. The table shows the number of canoes the campground rented for four months.
May- 65, June-109, July-134, August- 96
What is the total amount of money the campground made from canoe rentals in August?
$3,456
400
Maya has collected 24 stickers. Jordan has collected 18 times as many stickers as Maya. Which equation can be used to find the number of stickers Jordan has collected? Then solve the equation.
A) 24 × 18 = s
B) 24 × 16 = s
C) (24 × 18) − 24 = s
D) (24 × 18) + 24 = s
A) 24 × 18 = s
Jordan has 432 stickers.
500
17,556
500
Is this equation correct?
83 × 104 = 83,000
A) The equation is incorrect. The product should have 5 zeros.
B) The equation is incorrect. The product should have 4 zeros.
C) The equation is incorrect. The product should have 2 zeros.
D) The equation is correct.
B) The equation is incorrect. The product should have 4 zeros.
500
An online book store has 182 boxes of books in its warehouse. Each box has 32 books.
Part A
Which equation represents the best estimate of the total number of books in the warehouse?
A) 180 × 30 = 5,400
B) 180 × 40 = 7,200
C) 190 × 40 = 7,600
D) 200 × 40 = 8,000
PART B) Is the best estimate in Part A an underestimate or an overestimate? Explain.
A) It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.
B) It is an overestimate. The rounded value for 182 is greater than 182, and the rounded value for 32 is greater than 32. The estimated product must be greater than the exact product.
C) It is an overestimate. The rounded value for 182 is greater than the rounded value for 32. The estimated product must be greater than the exact product.
D) It is an underestimate. The rounded value for 32 is closer to 32 than the rounded value for 182 is to 180. The estimated product must be less than the exact product.
A) It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.
500
A campground rents canoes for $36. The table shows the number of canoes the campground rented for four months.
May- 65, June-109, July-134, August- 96
Which equation represents the total amount of money the campground made from canoe rentals in June? Then solve the eqations
A) $36 × 109 = $981
B) $36 × 109 = $3,054
C) $36 × 109 = $3,924
D) $36 × 109 = $6,174
C) $36 × 109 = $3,924
500
Joe has flown a total of 1,194 miles. Staci has flown 6 times as many miles as Joe. Which equation can be used to find the number of miles Staci has flown? Then solve the equation.
A) 6 × 1,194 = m
B) 5 × 1,194 = m
C) (6 × 1,194) – 1,194 = m
D) (6 × 1,194) + 1,194 = m
A) 6 × 1,194 = m
M= 7,164 miles