Vocabulary
Factor x Factor = ???
Product
0.2 x 10 = ???
2
Where should the decimal point go in the product:
8.51 x 2.2 = 18722
How do you know?
Between the 8 and 7
Serenity has a small business and charges $124 per hour for yardwork. How much money would she earn from a 4.8-hour job? Write an equation to model your work.
124 x 4.8 = $595.20
What are some strategies for multiplying with decimals?
Partial products, area models, "rainbow" method, hundredths grid, repeated addition
2.5 x 23 = ???
57.5
Zara is trying to find the area of the local playground. Its length is 1.04 km, and it has a width of 0.99 km. Her friend says that the area is 4.06 km and Zara says that is incorrect. What did her friend do incorrectly? What's the correct area?
Found perimeter instead of area. The area is 1.0296 km.
Zara bought 9.2 pounds worth of candy bags for her class. Tomatoes cost $0.89 per pound. How much did Zara spend in all?
$8.19
In the number 1.234, the digit 4 is in the ________ place.
Thousandths
3 x 0.33 = ???
0.99
The product of the expression:
7.9 × 104 = 7,900
is wrong. Explain why. What was done incorrectly? (write it out)
Estimate was found, instead of actual answer.
Last week, Yaphett practiced skateboarding for 1.3 hours. This week, he practiced for 12.41 hours. What is the total number of hours he practiced?
Multiplying a tenth (0.1) by a tenth (0.1) would give a __________ as a product.
Hundredth (0.01)
2.4 x 1.38 = ???
3.312
Every school day, Sergio rides the school bus 3.69 miles round trip between home and school. When trying to estimate the total distance he rode last month (24 school days), he said it was about 8,000 miles. Does this estimate make sense? Why or why not?
No, it doesn't make sense. 3.69 is close to 4 and 24 is close to 20. 4 x 20 = 80, not 8,000.
Multiplying a number by a decimal less than 1 (for example, 0.2 or 0.56), would give a product that is ___________.
Less than the other factor
0.493126 x (103 x 102)
49,312.6
Linsy and Patrick are arguing about the math problem:
5.29 x 0.7
Before solving they try to find an estimate; Linsy says the product is close to 5.3, but Patrick says it should be closer to 0. Who has the better estimate? Why?
Linsy has the better estimate. The actual product is 3.703, and 5.3 is closer to it thn 0 is.
Ja'Miracli hiked 8.96 miles. Aubree hiked 4 times as far as Ja'Miracli. Ajay hiked 12 more miles than Aubree. How long was Ajay's hike? Write and solve an equation that models the problem.
(8.96 x 4) + 12 = 47.84 miles
Ajay hiked 47.84 miles.