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5th Grade Module 1: EngageNY
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Use >, <, or = to compare the following. 703.005 Seven hundred three and five hundredths
703.005 < 703.05
Use >, <, or = to compare the following. One hundred four and twelve hundredths One hundred four and two thousandths
104.12 > 104.002
Use >, <, or = to compare the following. Thirty-six and nine thousandths Four tens
36.9 < 40
Use >, <, or = to compare the following. Five ones and eight tenths Fifty-eight tenths
5.8 = 5.8
Use >, <, or = to compare the following. 16.45 16.454
16.45 < 16.454
Write a decimal for the following. (5 x 1,000) + (3 x 1) + (4 x 0.1) + (7 x 0.001)
5,003.407
Write the following value in expanded form. 49.564
(4 x 10) + (9 x 1) + (5 x 1/10) + (6 x 1/100) + (4 1/1,000)
Express each of the following values in words. 15.062
Fifteen and sixty-two thousandths
Express each of the following values in words. 0.008
Eight thousandths
Arrange the numbers in decreasing order. 439.216; 439.126; 439.612; 439.261
439.612 > 439.261 > 439.216 > 439.126
Arrange the numbers in decreasing order. 7.608; 7.68; 7.6; 7.068
7.68 > 7.608 > 7.6 > 7.068
Arrange the numbers in increasing order. 182.205; 182.05; 182.105; 182.025
182.025 < 182.05 < 182.105 < 182.205
Arrange the numbers in increasing order. 3.049; 3.059; 3.05 ; 3.04
3.04 < 3.049 < 3.05 < 3.059
Complete the patterns. __________ ; 9.5 ; 950 ; 95,000 __________ ; __________
0.095 ; 9,500,000 ; 950,000,000
Complete the patterns. 3,400,000 ; 34,000 ; __________ ; 3.4 ; __________
340 ; 0.34
After a lesson on exponents, Tia went home and said to her mom, “I learned that 10^4 is the same as 40,000.” She has made a mistake in her thinking. What did she do wrong?
She multiplied the base (10) by the exponent (4) instead of multiplying 10x10x10x10 to get 10,000
Write the following in standard form. 7,200,000 Ă· 10^3 = _________
7,200
Write the following in standard form. 40.25 Ă— 10^4 = ____________
402,500
Write the following in standard form. 9 Ă— 10^3
9,000
Write 10^4 in written or word form.
10,000
Write 10^3 in standard form or base-ten numeral form.
1,000
Write 10^5 in written form.
One hundred thousand
Write the following in exponential form. 100 Ă— 100 = _________
10^4
Write the following in exponential form. 1,000 Ă— 1,000 = _________
10^6
Write the following in exponential form. 10 Ă— 10 = __________
10^2
Write the following in exponential form. 1,000 = _________
10^3
Write the following in exponential form. 10,000 = __________
10^4
Ted says that 3 tenths multiplied by 100 equals 300 thousandths. Is he correct?
No. 3 tenths multiplies by 100 equals 300 thousandths.
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 live in the United States? Explain the number of zeros in your the answer.
Canada has 3,200,000 people.
Janice thinks 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.
Use place-value chart.
6.671 Ă— 100 = ____________
667.1
684 Ă· 1,000 = ____________
684,000
345 Ă· 1,000 = _____________
0.345
A microscope has a setting that magnifies an object so that it appears 100 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?
9.5 centimeters
3.452 Ă— 100 = _________
345.2
345 Ă· 100 = ____________
3.45
A student used his place value chart to show a number. After the teacher instructed him to multiply his number by 10, the chart showed 3,200.4. What was the original number on the place value chart?
320.04
On a map, the perimeter of a park is 0.251 meters. The actual perimeter of the park is 100 times as large. What is the actual perimeter of the park?
25.1 meters
A student used his place value chart to show a number. After the teacher instructed him to divide his number by 100, his place-value chart showed 28.003. What was the original number he divided by?
2,800.3
Researchers counted 8,912 monarch butterflies on one branch of a tree at a site in Mexico. They estimated that the total number of butterflies at the site was 1,000 times as large. About how many butterflies were at the site in all?
8,912,000 monarch butterflies
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