Lesson 1 Homework 5.2 asks you to multiply multi digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. If you finished doing this lesson homework and want to check how much you get right, this post has the answer key for you.
If you have not done your homework, you are encouraged to try first and do not cheat by copying the whole thing featured here. Cheating is never allowed and it is always better to try first even though you have a hard time and your answers are incorrect.
1. Fill in the blanks using your knowledge of place value units and basic facts.
a. 43 x 30
Think: 43 ones x 3 tens = 129 tens
43 x 30 = 1,290
b. 430 x 30
Think: 43 tens x 3 tens = 129 hundreds
430 x 30 = 12,900
c. 830 x 20
Think: 83 tens x 2 tens = 166 hundreds
830 x 20 = 16,600
d. 4,400 x 400
44 hundreds x 4 hundreds = 176 ten thousands
4,400 x 400 = 1,760,000
e. 80 x 5,000
8 tens x 5 thousands = 40 ten thousands
2. Determine if these equations are true or false. Defend your answer using your knowledge of place value and the commutative, associative, and/or distributive properties.
a. 35 hundreds = 5 tens x 77 tens
= 3,500 = 3,500
The answer to the question is true.
b. 770 x 6 = 77 x 66 x 100
= 4,620 = 46,200
The answer to the question is false.
c. 50 tens x 4 hundreds = 40 tens x 5 hundreds
= 500 x 400 = 400 x 500
= 200,000 = 200,000
The answer to the question is true.
d. 24 x 10 x 90 = 90 x 2,400
= 240 x 90
= 21,600 = 216,000
The answer to the question is false.
3. Find the products. Show your thinking. The first row gives some ideas for showing your thinking.
a. 5 x 5 = 25
5 x 50 = 25 x 10 = 250
50 x 50 = (5 x 10) x (5 x 10) = (5 x 5) x 100 = 2,500
50 x 500 = (5 x 5) x (10 x 100) = 25,000
b. 80 x 5 = 400
80 x 50 = 40 x 100 = 4,000
800 x 500 = 8 x 100 x 5 x 100 = 40 x 10,000 = 400,000
8,000 x 50 = (8 x 1,000) x (5 x 10) = 40 x 10,000 = 400,000
c. 6637 x 3 = 1,911
6,370 x 30 = (6637 x 10) x (3 x 10) = 1,911 x 100 = 191,100
6,370 x 300 = (637 x 10) x (3 x 100) = 1,911 x 1,000 = 1,911,000
663,700 x 300 = (6637 x 100) x (3 x 100) = 1,911 x 10,000 = 19,110,000
4. A concrete stepping stone measures 20 square inches. What is the area of 30 such stones?
Stepping stone: 20 in2
Number of 5 s: 30
30
| ———— |
20 in2
The area of 30 stones is 600 in2.
5. A number is 42,300 when multiplied by 10. Find the product of this number and 500.
___ x 10 = 42,300
42,300 : 10 = ___
The number is 4,230.
4,230 x 500 = 2,115,000
4,230 multiplied by 500 gives a product of 2,115,000.
Before doing the Lesson 1 Homework 5.2, you will have to do the Lesson 1 Problem Set 5.2 first. Here is the answer key of it:
1. Fill in the blanks using your knowledge of place value units and basic facts.
a. 23 x 20
Think: 23 ones x 2 tens = 46 tens
23 x 20 = 460
b. 230 x 20
Think: 23 tens x 2 tens = 466 hundreds
230 x 20 = 4,600
c. 41 x 4
41 ones x 4 ones = 164 ones
41 x 4 = 164
d. 410 x 400
41 tens x 4 hundreds = 164 thousands
410 x 400 = 164,000
e. 3,310 x 300
331 tens x 3 hundreds = 993 thousands
3,310 x 300 = 993,000
f. 500 x 6600
5 hundreds x 6 hundreds = 30 ten thousands
500 x 600 = 300,000
2. Determine if these equations are true or false. Defend your answer using your knowledge of place value and the commutative, associative, and/or distributive properties.
a. 6 tens = 2 tens x 3 tens 6 x 10 = 60
60 = 20 x 30
The answer to the question is false.
b. 44 x 20 x 10 = 440 x 2
440 x 20
The answer to the question is false.
c. 86 ones x 90 hundreds = 86 ones x 900 tens 86 x 90 x 100 = 866 x 9,000 = 774,000
86 x 9,000 = 86 x 9,000
The answer to the question is true.
d. 64 x 8 x 100 = 640 x 10
66400 x 8 = 640 x 8
The answer to the question is true.
e. 57 x 2 x 10 x 10 = 570 x 2 x 10
114,000 = 11,400
The answer to the question is false.
You can open this link if you want to find the rest of the answer key: http://www.serflo1.com/Module%
