Properties and Terms
What does the Zero Property of Multiplication state?
If you multiply a number and zero, the product will be zero.
What do you notice with this pattern below?:
1 x 7 = 7
10 x 7 = 70
100 x 7 = 700
1000 x 7 = 7000
You are multiplying multiples of ten. You keep the nonzero number (7) and add the correct number of zeros.
What place value do you always round to when estimating products?
The first digit in the problem (ex: the 4 in 487)
What is the multiplicand in this problem? 2809 x 5
2809
What is the multiplier in the problem? 797 x 201
201
What does the Identity Property of Multiplication State?
If you multiply a number and one, the product will be that number.
When you are multiplying a whole number by a multiple of ten, (10, 200, 6000), what is your first step?
To multiply the nonzero numbers.
If you are multiplying 56 and 19, what do the 56 and the 19 round to?
60 and 20
What property does this problem show?
6 x (80,000+50)
The distributive property
Use rounding to estimate, then multiply: 391 x 104
40,664
What would the product be for this equation?: 79 x 0
0
Find the products:
10 x 6
100 x 6
1000 x 6
60
600
6000
Round and then multiply to find the estimate of:
114 x 25
3,000
Use rounding to estimate, then multiply: 9060 x 4
36,240
Use rounding to estimate, then multiply: 360 x 703
What is a multiplicand?
The first number that appears in a multiplication problem.
Find the products:
90 x 40
900 x 40
9000 x 40
3,600
36,000
360,000
Round and then multiply to find the estimate of:
502 x 305
150,000
Find the product using the distributive property:
8 x 79,000
632,000
Find the product: 600 x 739
443,400
When you are solving a multiplication problem with a zero in the multiplier, what happens to the second row? What do you do with the third row?
You do not have a second row because anything times zero is zero. You add two zeros in the third row.
Find the product:
20 x 30 x 6000
3,600,000
One box of oranges weighs about 48 pounds. Will 550 boxes of oranges weigh less than 25,000 pounds?
No. The estimate is 600 x 50, which equals about 30,000 pounds.
How many feet are there in 8003 yards? (Hint: there are 3 feet in a yard)
24,009
Find the product: 900 x 846
761,400