Place Value
A manufacture made 7,234 boxes of coffee stirrers. Each box contains 1,000 stirrers. How many stirrers did they make? Explain your thinking!
7,234,000
Explainations will vary.
1. 10,000=
2. 1,000=B. Write the following in standard form.
1. 9 x 103
2. 72.5 / 102
A.
1. 104
2. 103
B.1. 9,000
2. 0.725
Write the following in standard form.
1. Five hundred and eight thousandths
2. twenty-six thousandths
3. Four hundredths.
1. 500.008
2. 0.026
3. 0.04
Round the following numbers to the nearest tenth.
12.96
24.49
517.307
13
24.5
517.3
Use an area model to explain the product of 4.65 and 3. Check your work using standard algorithm and a place value chart.
13.95
See board for area model and place value chart.
A microscope has setting that magnifies an objet so that it appears 1,000 times as large when viewed through the eyepiece. If a tiny insect is 0.095 cm long, how long will the insect appear in centimeters through the microscope? Explain how you know!
95 cm
Explanations will vary.
Complete the pattern. Explain how you got your answers!
____ 7.5 750 75,000 ____ ____
0.075 7,500,000 750,000,000
Explanations will vary.
Express the following in words.
1. 0.007
2. 13.045
3. 234.502
1. seven thousandths
2. thirteen and forty-five thousandths
3. two hundred thirty-four and five hundred two thousandths.
Compare the following numbers using <,> or = sign.
4.7 __ 47 tenths
2.43 __ 45/1000
five hundred fifty-eight thousandths ___ 580,000
=
>
<
Solve the problem using a place value chart. Check your work using standard algorithm.
0.831-0.292
0.539
Janice says that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a place value chart to correct Janice's error.
The place value chart shows that 20 hundred= 2 thousands because they have the same value of 2,000, but 20 hundredths does not equal 2 thousandths because they do not have the same value.
Place value charts will vary.
After a lesson, Jacxon went home and said to his mom, "I learned that 105 is the same as 500,000. He made a mistake in his thinking. Explain using words, pictures or a place value chart to help him correct his mistake.
105= 100,000
Explanations will vary.
Write a decimal for the following:
1. 5 x 100 + 3 x 10 + 8 x 0.1 + 9 x 0.001
2. 4 x 1,000 + 2 x 100 + 7 x 1 + 3 x (1/100) + 4 x (1/1000)
1. 530.809
2. 4,207.034
Round the following to the nearest whole number.
2,678,456.78
4.37
96.453
3,000,000
4
100
Six bakers shared 7.5 kg of flour equally. How much flour did they each receive? Use a place value chart and standard algorithm to solve your problem.
1.25 kg
A student used a place value chart to show a number. After the teacher instructed him to multiply his number by 100, the chart showed 3,200.4. Draw a picture of what the place value chart looked like at first.
Charts will vary, but they should show the answer 32.004.
Solve 247/ 102band 247 x 102. What is different about the two answers. Explain your thinking!
0.247
247,000
Explanations will vary.Expanded the following using decimals and fractions
35.827
3 x 10 + 5 x 1 + 8 x (1/10) + 2 x (1/100) + 7 x ( 1/1000)
3 x 10 + 5 x 1 + 8 x 0.01 + 2 x 0.01 7 x 0.001
Arrange the numbers in increasing order.
3.049 3.059 3.5 3.04
Arrange the numbers in decreasing order.
756.608 756.68 756.6 756.068
3.04 3.049 3.059 3.5
756.68 756.608 756.6 756.068
A pen cost $2.09. It cost $0.45 less than a marker. Ken paid for one pen and one marker with a five-dollar bill. How much change did Ken receive?
0.37
Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people love in the United States? Explain the number of zeros in your answer!
320 Million
Since 1 million has 6 zeros, 320 million will have 6 zeros at the end.
Shaunnie and Marlon missed the lesson exponents. Shaunnie incorrectly wrote 105 = 50 on her paper, and Marlon incorrectly wrote 2.5 x 102= 2.500 on his paper.
What mistake did Shaunnie and Marlon make? Explain using words, numbers or pictures.
Answers will vary.
Mr. Pham wrote 2.619 on the board. Christy says its two and six hundred nineteen thousandths. Amy says it's 2 ones 6 tenths 1 hundredth 9 thousandths. Who is right? explain your thinking!
Both girls are right. Christy used word form and Amy used unit form. Both equal 2.619.
Dr. Hong prescribed 0.019 liter more medicine than Dr. Peters. Dr. Evans prescribed 0.02 less than Dr. Hong. Who prescribed the most medicine? Who prescribed the least? Explain using a picture!
Dr. Hong prescribed the most.
Dr. Evans prescribed the least.
Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payment of $35.75. If he pays cash for the computer, the cost is $699.99. How much will he save if he pays cash for the computer instead of paying for it in monthly payments?
$96.01