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5th Grade Module 1: EngageNY

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  • Express each of the following values in words. 0.008
    Eight thousandths
  • Write 10^5 in written form.
    One hundred thousand
  • 3.452 × 100 = _________
    345.2
  • Use >, <, or = to compare the following. Five ones and eight tenths Fifty-eight tenths
    5.8 = 5.8
  • Complete the patterns. __________ ; 9.5 ; 950 ; 95,000 __________ ; __________
    0.095 ; 9,500,000 ; 950,000,000
  • 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
  • Arrange the numbers in decreasing order. 7.608; 7.68; 7.6; 7.068
    7.68 > 7.608 > 7.6 > 7.068
  • Write the following in exponential form. 100 × 100 = _________
    10^4
  • Write the following in standard form. 40.25 × 10^4 = ____________
    402,500
  • 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
  • Write the following in exponential form. 10,000 = __________
    10^4
  • Write the following in exponential form. 1,000 × 1,000 = _________
    10^6
  • 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. 3,400,000 ; 34,000 ; __________ ; 3.4 ; __________
    340 ; 0.34
  • 345 ÷ 100 = ____________
    3.45
  • 6.671 × 100 = ____________
    667.1
  • 345 ÷ 1,000 = _____________
    0.345
  • 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. 7,200,000 ÷ 10^3 = _________
    7,200
  • Use >, <, or = to compare the following. One hundred four and twelve hundredths One hundred four and two thousandths
    104.12 > 104.002
  • 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 in exponential form. 1,000 = _________
    10^3
  • Arrange the numbers in decreasing order. 439.216; 439.126; 439.612; 439.261
    439.612 > 439.261 > 439.216 > 439.126
  • Use >, <, or = to compare the following. Thirty-six and nine thousandths Four tens
    36.9 < 40
  • 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 10^3 in standard form or base-ten numeral form.
    1,000
  • Ted says that 3 tenths multiplied by 100 equals 300 thousandths. Is he correct?
    No. 3 tenths multiplies by 100 equals 300 thousandths.
  • 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.
  • 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
  • Express each of the following values in words. 15.062
    Fifteen and sixty-two thousandths
  • Write 10^4 in written or word form.
    10,000
  • 684 ÷ 1,000 = ____________
    684,000
  • Use >, <, or = to compare the following. 703.005 Seven hundred three and five hundredths
    703.005 < 703.05
  • Write the following in exponential form. 10 × 10 = __________
    10^2
  • 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)
  • 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.
  • Write the following in standard form. 9 × 10^3
    9,000
  • 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
  • Use >, <, or = to compare the following. 16.45 16.454
    16.45 < 16.454
  • 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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