All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 1 Place Value will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 1 Lesson 1 Place Value
Math in My World
Example 1
The average pencil can draw a line that is almost 184,800 feet long. What is the value of the highlighted digit?
The place-value chart shows 184,800.
The highlighted digit, 8, is in the ____ place.
So, its value is ____
A digit in each place represents ten times what it would represent in the place to its right.
When 8 is in the ten thousands place it has a value of 80,000.
If 8 were in the hundred thousands place, it would have a value of 10 × 80,000, or 800,000.
Answer:
The highlighted digit is 8, it is in the ten thousands place.
So, the value of 8 is 8 x 10,000 = 80,000.
Example 2
There are 2,419,200 seconds in four weeks. How does the value of the digit in the hundreds place change if this digit were to move to each of the four places to its left?
The digit in the hundreds place is ____
It has a value of ____
If this digit were to move to the thousands place, it would have a value of _____
If this digit were to move to the ten thousands place, it would have a value of ____
If this digit were to move to the hundred thousands place, it would have a value of _____
If this digit were to move to the millions place, it would have a value of _____
The digit in each place has a value that is ten times as great as it has in the place to its right.
Answer:
The digit in the hundreds place is 2.
It has a value of 200.
If this digit were to move to the thousands place, it would have a value of 9000.
If this digit were to move to the ten thousands place, it would have a value of 10,000.
If this digit were to move to the hundred thousands place, it would have a value of 400,000
If this digit were to move to the millions place, it would have a value of 2,000000,
The digit in each place has a value that is ten times as great as it has in the place to its right.
Talk Math
How does the value of a digit in the thousands place compare to its value if the same digit was in the hundreds place?
Answer:
Suppose we have the digit 2 in the thousands and hundreds place.
The value of digit in the thousands place is 2000.
The value of digit in the hundreds place is 200.
The vale of thousands place is greater than the hundreds place.
Guided Practice
Circle the correct place of the highlighted digit and write its value.
Answer:
Independent Practice
Circle the place of the highlighted digit and write its value.
Answer:
Use the place-value chart for Exercise 8-16.
Question 8.
The 6 is in the ___ place.
Answer:
The 6 is in the thousands place.
Question 9.
The ____ is in the thousands place.
Answer:
The 3 in the thousands place.
Question 10.
The 7 has a value of 7 × ____
Answer:
The 7 has a value of 7 x 1,000,000 = 7,000,000.
Question 11.
The 6 has a value of 6 × ____
Answer:
The 6 has a value of 6 x 1000 = 6000.
Question 12.
The ____ has a value of ___ × 100,000.
Answer:
The 8 has a value of 8 x 100,000 = 800,000.
Question 13.
The ____ is in the hundreds place.
Answer:
The 8 is in the hundreds place.
Question 14.
The 1 is in the ____ place.
Answer:
Th 1 is in the hundreds place.
Question 15.
The digit in the hundred thousands place has 10 times the value it would have if it was in the _____ place.
Answer:
The digit in the hundred thousands place has 10 times the value it would have if it was in the ten thousands place.
Question 16.
The digit in the thousands place has ____ times the value it would have if it was in the hundreds place.
Answer:
The digit in the thousands place has ten times the value it would have if it was in the hundreds place.
Problem Solving
Question 17.
An African elephant can weigh up to 14,432 pounds. What is the value of the highlighted digit?
Answer:
Given that,
An African elephant can weigh up to 14,432.
The highlighted number is 1.
The 1 is in the ten thousands place. Its value is 1 x 10,000 = 10,000.
Question 18.
Mathematical Practice 2 Stop and Reflect Use the clues below to find the distance, in miles, from Earth to the Moon. Write the number in the place-value chart.
- The greatest place value is hundred thousands.
- The digit in the tens place is 5.
- The remaining digits are 2, 3, 8, and 7.
- One of the digits has a value of 30,000.
- One of the digits has a value of 800. The value of the digit in the thousands place is 10 times greater than this.
- There are 2 more ones than tens.
What is the distance from Earth to the Moon?
Answer:
Given that,
The digit in the tens place is 5.
The remaining digits are 2, 3, 8, 7.
One of the digit has a 30,000.
One of the digit has a 800.
The value of digit in the thousands place is 10 times greater than the 800 it means 8000 in the thousands place.
one in the ones place.
Therefore the distance from the Earth to Moon is 738,851.
HOT Problems
Question 19.
Mathematical PRACTICE 4 Model Math Write a six-digit number that has a 9 in the hundreds place and a 6 in the hundred thousands place.
Answer:
Given that,
The number in the hundreds place is 9.
The number in the hundred thousands place is 6.
Therefore the six digits number is 650,934.
Question 20.
? Building on the Essential Question How does moving the place of a digit change its value?
Answer:
Moving the place of the digit to the left by a factor of ten.