A piece of fabric is 12.5 meters long. If the fabric is cut into 100 equal pieces, how long is each piece?
Each piece is 0.125 meters long.
Without calculating, compare the two expressions using <, >, or =: 2 x (5 x 7) _____ 6 x 10
10 x 7 > 10 x 6
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.
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
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 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.)
A factory produces 0.036 kilograms of candy in one minute. How many kilograms of candy does the factory produce in 1,000 minutes?
The factory produces 36 kilograms of candy in 1,000 minutes.
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.
PEMDAS: Write (85 + 15) x 38 in words.
thirty-eight times the sum of eighty-five and fifteen
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
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.
Question: A scientist measures the mass of a particle as 0.00042 grams. What is the mass of 10,000 of the same kind of particle?
The mass of 10,000 particles is 4.2 grams.
A bottle contains 4.275 liters of water. How much water is in 10 bottles?
There is 42.75 liters of water in 10 bottles.
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.)
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