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5th Grade Module 1: EngageNY

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  • 684 ÷ 1,000 = ____________
    684,000
  • Write the following in exponential form. 1,000 × 1,000 = _________
    10^6
  • Arrange the numbers in decreasing order. 7.608; 7.68; 7.6; 7.068
    7.68 > 7.608 > 7.6 > 7.068
  • Express each of the following values in words. 15.062
    Fifteen and sixty-two thousandths
  • Use >, <, or = to compare the following. 16.45 16.454
    16.45 < 16.454
  • Arrange the numbers in increasing order. 182.205; 182.05; 182.105; 182.025
    182.025 < 182.05 < 182.105 < 182.205
  • Write the following in standard form. 40.25 × 10^4 = ____________
    402,500
  • Use >, <, or = to compare the following. Thirty-six and nine thousandths Four tens
    36.9 < 40
  • 3.452 × 100 = _________
    345.2
  • 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
  • Write a decimal for the following. (5 x 1,000) + (3 x 1) + (4 x 0.1) + (7 x 0.001)
    5,003.407
  • 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.
  • Use >, <, or = to compare the following. One hundred four and twelve hundredths One hundred four and two thousandths
    104.12 > 104.002
  • 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
  • Write the following in exponential form. 10,000 = __________
    10^4
  • Write the following in standard form. 9 × 10^3
    9,000
  • 345 ÷ 100 = ____________
    3.45
  • 345 ÷ 1,000 = _____________
    0.345
  • 6.671 × 100 = ____________
    667.1
  • 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.
  • Write the following in exponential form. 10 × 10 = __________
    10^2
  • Express each of the following values in words. 0.008
    Eight thousandths
  • Write the following in exponential form. 100 × 100 = _________
    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.
  • 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
  • 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
  • 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
  • Use >, <, or = to compare the following. 703.005 Seven hundred three and five hundredths
    703.005 < 703.05
  • 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)
  • Write 10^3 in standard form or base-ten numeral form.
    1,000
  • Complete the patterns. 3,400,000 ; 34,000 ; __________ ; 3.4 ; __________
    340 ; 0.34
  • 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
  • Complete the patterns. __________ ; 9.5 ; 950 ; 95,000 __________ ; __________
    0.095 ; 9,500,000 ; 950,000,000
  • Write the following in standard form. 7,200,000 ÷ 10^3 = _________
    7,200
  • Write 10^4 in written or word form.
    10,000
  • Write 10^5 in written form.
    One hundred thousand
  • Use >, <, or = to compare the following. Five ones and eight tenths Fifty-eight tenths
    5.8 = 5.8
  • Write the following in exponential form. 1,000 = _________
    10^3
  • Arrange the numbers in increasing order. 3.049; 3.059; 3.05 ; 3.04
    3.04 < 3.049 < 3.05 < 3.059
  • Arrange the numbers in decreasing order. 439.216; 439.126; 439.612; 439.261
    439.612 > 439.261 > 439.216 > 439.126
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