All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 1 Multiples of 10, 100, and 1,000 will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 4 Lesson 1 Multiples of 10, 100, and 1,000
Math in My World
Example 1.
The whale shark is the world’s largest fish. Its mouth is 5 feet long, and each foot contains 600 teeth. How many teeth does a whale shark have?
Find 5 × 600. Use basic facts and patterns. 600 is a multiple of 10.
5 × 6 = 30 5 × 6 ones = 30 ones = 30
5 × 60 = 300 5 × 6 tens = 30 tens = 300
5 × 600 = 3000 5 × 6 hundreds = 30 hundreds = 3,00
So, a whale shark has ____ teeth.
Notice that the product is 5 × 6 with two zeros at the end.
Answer:
Given that is
5 x 600.
5 × 6 = 30, 5 × 6 ones = 30 ones = 30.
5 × 60 = 300, 5 × 6 tens = 30 tens = 300.
5 × 600 = 3000, 5 × 6 hundreds = 30 hundreds = 3000.
So, a whale shark has 3000 teeth.
Example 2.
Find 3 × 7,000.
3 × 7 = 21 3 × 7 ones = 21 ones = 21
3 × 70 = 210 3 × 7 tens = 21 tens = 210
3 × 700 = 21,000 3 × 7 hundreds = 21 hundreds = 2,100
3 × 7,000 = 210,000 3 × 7 thousands = 21 thousands = ____
So, 3 × 7,000 is ____.
Notice that the product is 3 × 7 with three zeros at the end.
Answer:
Given that,
3 × 7,000.
3 × 7 = 21, 3 × 7 ones = 21 ones = 21.
3 × 70 = 210, 3 × 7 tens = 21 tens = 210.
3 × 700 = 21,000, 3 × 7 hundreds = 21 hundreds = 2,100.
3 × 7,000 = 210,000, 3 × 7 thousands = 21 thousands = 21,000.
So, 3 × 7,000 is 21,000.
Example 3.
The weight of a fire truck is 8 × 4,000 pounds. What is its weight in pounds?
Let w represent the weight.
Write an equation.
w = 8 × ____
You need to find 8 × 4,000.
8 × 4 = ____ 8 × 4 ones = ____ ones = ____
8 × 40 = _____ 8 × 4 tens = ____ tens = ____
8 × 400 = ____ 8 × 4 hundreds = ___ hundreds = ____
8 × 4,000 = ____ 8 × 4 thousands = ____ thousands = ____
Answer:
Given that,
The weight of a fire truck is 8 × 4,000 pounds.
weight w = 8 × 4,000
Know find 8 × 4,000.
8 × 4 = 32, 8 × 4 ones = 32 ones = 32.
8 × 40 = 320. 8 × 4 tens = 32 tens = 320.
8 × 400 = 3200, 8 × 4 hundreds = 32 hundreds = 32,00
8 × 4,000 = 32,000 8 × 4 thousands = 32 thousands = 32,000.
Talk Math
What is the product of 4 and 5,000? Explain why there are more zeros in the product than in the factors in the problem.
Answer:
Given that,
4 x 5,000.
4 × 5 = 20, 8 × 5 ones = 20 ones = 20.
4 × 50 = 200. 8 × 5 tens = 20 tens = 200.
4 × 500 = 2000, 8 × 5 hundreds = 20 hundreds = 20,00
4 × 5,000 = 20,000 8 × 5 thousands = 20 thousands = 20,000.
So, 4 x 5,000 = 20,000.
Guided Practice
Multiply. Use basic facts and patterns.
Question 1.
6 × 8 = 48
6 × 80 = ____
6 × 800 = ____
6 × 8,000 = ____
Answer:
6 × 8 = 48, 6 × 8 ones = 48 ones = 48.
6 × 80 = 480, 6 x 8 tens = 48 tens = 480.
6 × 800 = 4,800, 6 x 8 hundreds = 48 hundreds = 4,800.
6 × 8,000 = 48,000, 6 x 8 thousands = 48 thousand = 48,000.
Question 2.
7 × 9 = 63
7 × 90 = ____
7 × 900 = ___
7 × 9,000 = ____
Answer:
7 x 9 = 63, 7 x 9 ones = 63 ones = 63.
7 x 90 = 630, 7 x 9 tens = 63 tens = 630.
7 x 900 = 6300, 7 x 9 hundreds = 63 hundreds = 6,300.
7 x 9,000 = 63,000, 7 x 9 thousands = 63 thousands = 63,000.
Multiply. Use mental math.
Question 3.
8 × 600 = ____
Answer:
Given that,
8 x 600.
8 × 6 = 48, 6 × 8 ones = 48 ones = 48.
8 × 60 = 480, 6 x 8 tens = 48 tens = 480.
8 × 600 = 4,800, 6 x 8 hundreds = 48 hundreds = 4,800.
Question 4.
9 × 9,000 = _____
Answer:
9 x 9 = 81, 9 x 9 ones = 81 ones = 81.
9 x 90 = 810, 9 x 9 tens = 81 tens = 810.
9 x 900 = 8100, 9 x 9 hundreds = 81 hundreds = 8,100.
9 x 9,000 = 81,000, 9 x 9 thousands = 81 thousands = 81,000.