Multiplying two digit numbers is the method of multiplying numbers arranged in two place values, i.e., ones and tens1. The answer is called the product and the numbers multiplied together are called multiplicands2. One way to multiply two digit numbers is to use partial products, which means separating one of the numbers into parts and finding the product with each, then adding them together3. Another way is to place one of the double-digit numbers on top and the other directly below it, and multiply the bottom one's number by the top one's number, then the bottom ten's number by the top one's number, and so on4. To verify the answer, estimate the product using the nearest tens3.
This can be done by rounding both of the two-digit numbers to the nearest tens, multiplying them together, and comparing the estimated product to the actual product. If the estimated product is close to the actual product, then the answer is likely correct.
A sports store ordered 22 boxes of golf balls. Each box has 47 golf balls. Which is the best estimate of the total number of golf balls the store ordered? (1 point)
answers
600 600 700 700 1,000 1,000 1,200
To find the best estimate of the total number of golf balls the store ordered, we can round the number of boxes (22) and the number of golf balls per box (47) to the nearest tens.
Rounding 22 to the nearest tens gives us 20, and rounding 47 to the nearest tens gives us 50.
Now we can multiply these rounded numbers together: 20 x 50 = 1000.
Therefore, the best estimate of the total number of golf balls the store ordered is 1000.
Which area model can you use to find 39×73 ? (1 point) Responses Image with alt text: A rectangle is labeled with a width of 70 and a length of 40. Image with alt text: A rectangle is labeled with a width of 73 with a vertical line separating 70 and 3, and a length of 40. Image with alt text: A rectangle is labeled with a width of 79 with a vertical line separating 70 and 9, and a length of 33 with a horizontal line separating 30 and 3.
The correct area model to use to find 39 × 73 would be:
Image with alt text: A rectangle is labeled with a width of 70 and a length of 40.
This area model represents multiplying the tens digit of the second number (7) with the tens digit of the first number (3), and multiplying the ones digit of the second number (3) with the ones digit of the first number (9).
The product of two factors is 4,500. If one of the factors is 90, which is the other factor? (1 point) Responses 40 40 45 45 50 50 60
To find the other factor, we can divide the product (4,500) by the given factor (90):
4500 ÷ 90 = 50
Therefore, the other factor must be 50.
Mike jogged 15 minutes a day for 20 days. Terrie jogged 10 minutes a day for 30 days. Which statement about Mike and Terrie is correct? (1 point) Responses Mike jogged 450 minutes. Mike jogged 450 minutes. Together Mike and Terrie jogged 1,200 minutes. Together Mike and Terrie jogged 1,200 minutes. Terrie jogged 400 minutes. Terrie jogged 400 minutes. Together Mike and Terri jogged 600 minutes
To find the total amount of time Mike jogged, we can multiply the duration of his daily jogging (15 minutes) by the number of days (20):
15 minutes/day × 20 days = 300 minutes
So, the statement "Mike jogged 450 minutes" is incorrect.
To find the total amount of time Terrie jogged, we can multiply the duration of her daily jogging (10 minutes) by the number of days (30):
10 minutes/day × 30 days = 300 minutes
So, the statement "Terrie jogged 400 minutes" is also incorrect.
To find the total amount of time that Mike and Terrie jogged together, we can add their individual jogging times:
300 minutes (Mike) + 300 minutes (Terrie) = 600 minutes
Thus, the correct statement is "Together Mike and Terrie jogged 600 minutes."