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PEMDAS: What is the value of (85 + 15) × 38?
3,800
PEMDAS: Write (85 + 15) x 38 in words.
thirty-eight times the sum of eighty-five and fifteen
PEMDAS: Write a numerical expression for the words, "Multiply the difference between 5,900 and 5,000 by 6."
(5,900 - 5,000) x 6
PEMDAS: Solve, "Multiply the difference between 5,900 and 5,000 by 6."
5400
Without calculating, compare the two expressions using <, >, or =: 17 × 10 ______ 20 tens − 3 tens.
17 tens = 17 tens
Without calculating, compare the two expressions using <, >, or =: 2 x (5 x 7) _____ 6 x 10
10 x 7 > 10 x 6
Draw an area model to solve 123 × 521
(Draw a rectangle, break up the parts of the partial products, and add them together to get 64,083.
Use the standard algorithm to solve 213 × 251.
(Use the standard algorithm to get rows: 753 + 2510 + 50,200 = 53,463. Or 213 + 10,650 + 42,600 = 53,463.)
Estimate the product of 9,852 x 126.
≈ 10,000 x 100 = 1,000,000 OR 10,000 x 120 = 1,200,000.
Solve 9,852 x 126.
1,241,352
You are multiplying 197 x 750. You got an answer of 147,750. Is it reasonable? Why or why not?
It's reasonable! You can round the factors to 200 x 800, but both factors rounded up, so your answer should be a bit less than 160,000.
Reason about place value to solve. If 439 x 76 = 33,364, then what is 4.39 x 76?
We are working with hundredths, so: 33364 hundredths, or 333.64. (Or, think: a hundred times smaller--move the decimal to shift digits ÷10, ÷10.)
Reason about place value to solve. If 439 x 76 = 33,364, then what is 439 x 7.6?
We are working with tenths, so: 33364 tenths, or 3,336.4. (Or, think: ten times smaller--move the decimal left one place value to shift digits ÷10.)
Solve. Show your work: 31.2 × 25
7800 tenths --> 780.0 --> 780
414.21 × 31
1,284,051 hundredths --> 12,840.51
Sophia is designing bracelets to sell at a jewelry market. Each bracelet requires 2.25 feet of cord. At the craft store, cord is sold by the yard. If Sophia wants to make 96 bracelets, how many yards of cord must she buy?
2.25 × 96 = 216 feet --> 72 yards. Sophia must buy 72 yards of cord.
