Multiplication and Division Using a Place Value Chart
Compare the Numbers
Round to.....
Addition
Subtraction
100
408 x 10 = ______________
408 x 10 = 4,080
100
715,000 ____ 71,500
715,000 > 71,500
100
Round 7,800 to the nearest thousand
7,800 ≈ 8,000
100
185
+17
-----
185
+17
-----
202
100
278
-132
------
278
-132
------
146
200
When we are multiplying by 10 we are moving to the ________ on our place value chart, because when we have 10 of a unit we need to __________. When we are dividing by 10 we are moving to the __________ on our place value chart, because we have to break our number into smaller pieces by _________________.
When we are multiplying by 10 we are moving to the left on our place value chart, because when we have 10 of a unit we need to bundle. When we are dividing by 10 we are moving to the right on our place value chart, because we have to break our numbers into smaller pieces by unbundling.
Three thousand fifty nine + 2 ten thousands 8 hundred thousands 4 tens 6 ones
3,059+ 820,046 = 823,105
200
3,512
- 204
---------
3,512
- 204
---------
3,308
300
Arrange the following numbers from least to greatest:
5,988 459 5,489 59,880
Explain how you ordered the two greatest numbers using the words "ten times".
459 5,489 5,988 59,880
59,880 is ten times as much as 5,988.
300
17 hundreds ______ 1,070
1,700 > 1,070
300
Round 913,464 to the nearest ten thousand. Draw a vertical number line to show your work.
913,464 ≈ 910,000
300
899,999
+31,832
----------
899,999
+31,832
----------
931,831
300
803,010
-10,205
---------
803,010
- 1,205
---------
801,805
400
(14 hundreds 2 ones) x 10 = ___________________
(14 hundreds 2 ones) x 10= 14,020
400
1,000,000 ______ 100 ten thousands
1,000,000 = 100 ten thousands = 10 hundred thousands
400
There are about 500 students at KIPP GCP Primary. If that estimate is rounded to the nearest hundred, what is the lowest number of students and what is the greatest number of students KIPP GCP Primary could have?
450 ≈ 500 and 549 ≈ 500
400
89,217 + 54,345=
89,217 + 54,345=143,562
400
Ms. Cook Dwight ordered 1,250 pencils. Ms. Thompson's class ate 344 of them. How many pencils are left? Draw a tape diagram to show your thinking.
1,250 - 344 = 906 pencils are left
500
(8 ten thousands 2 hundreds) ÷ 10 = __________________
Santa Monica, California is 2,559 miles away from Raleigh, North Carolina. About how many miles away is Santa Monica from Raleigh? Which place value should you round to in order to find the most accurate estimate.
≈2,560 miles, rounding to the smallest place value (i.e. the tens) gives us an estimate that is the closest to our true value
500
A class read 3,452 pages the first week and 4,090 more pages in the second week than in the first week.
How many pages had they read by the end of the second week? Is your answer reasonable? Explain how
you know using estimation
10, 994
about 11,000
500
A mixture of 2 chemicals measures 1,034 milliliters. It contains some of Chemical A and 755 milliliters of
Chemical B. How much less of Chemical A than Chemical B is in the mixture?
Key word is LESS! Chemical A = 279 (1,034 - 755), Chemical B = 755, A and B is 1,034. The difference between the two is 476 ml.